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Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?
|
16
|
Mimi picked up 2 dozen seashells.
2 dozen = 2 × 12 = 24 seashells.
Kyle found twice as many as Mimi:
2 × 24 = 48 seashells.
Leigh grabbed one-third of the shells that Kyle found:
48 ÷ 3 = 16 seashells.
ANSWER: 16
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nMimi picked up 2 dozen seashells. \n2 dozen = 2 × 12 = 24 seashells. \n\nKyle found twice as many as Mimi: \n2 × 24 = 48 seashells. \n\nLeigh grabbed one-third of the shells that Kyle found: \n48 ÷ 3 = 16 seashells. \n\nANSWER: 16",
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[
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"content": "Mimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?",
"role": "user"
},
{
"content": " \nMimi picked up 2 dozen seashells. \n2 dozen = 2 × 12 = 24 seashells. \n\nKyle found twice as many as Mimi: \n2 × 24 = 48 seashells. \n\nLeigh grabbed one-third of the shells that Kyle found: \n48 ÷ 3 = 16 seashells. \n\nANSWER: 16",
"role": "assistant"
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] |
Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?
|
19
|
Frankie has 6 more snakes than cats.
He has 1 less parrot than cats.
Six of his pets have four legs — these are the dogs and cats, since snakes and parrots do not have four legs.
He has 2 dogs.
Let’s define:
Let the number of cats be C.
Then, number of snakes = C + 6
Number of parrots = C - 1
Number of dogs = 2 (given)
Pets with four legs: cats and dogs.
So, total four-legged pets = C (cats) + 2 (dogs) = 6
Therefore, C + 2 = 6
So, C = 4
Now, calculate all pets:
- Cats: 4
- Snakes: 4 + 6 = 10
- Parrots: 4 - 1 = 3
- Dogs: 2
Total pets = 4 + 10 + 3 + 2 = 19
ANSWER: 19
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nFrankie has 6 more snakes than cats. \nHe has 1 less parrot than cats. \nSix of his pets have four legs — these are the dogs and cats, since snakes and parrots do not have four legs. \nHe has 2 dogs. \n\nLet’s define: \nLet the number of cats be C. \nThen, number of snakes = C + 6 \nNumber of parrots = C - 1 \nNumber of dogs = 2 (given) \n\nPets with four legs: cats and dogs. \nSo, total four-legged pets = C (cats) + 2 (dogs) = 6 \nTherefore, C + 2 = 6 \nSo, C = 4 \n\nNow, calculate all pets: \n- Cats: 4 \n- Snakes: 4 + 6 = 10 \n- Parrots: 4 - 1 = 3 \n- Dogs: 2 \n\nTotal pets = 4 + 10 + 3 + 2 = 19 \n\nANSWER: 19",
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[
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"content": "Frankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?",
"role": "user"
},
{
"content": " \nFrankie has 6 more snakes than cats. \nHe has 1 less parrot than cats. \nSix of his pets have four legs — these are the dogs and cats, since snakes and parrots do not have four legs. \nHe has 2 dogs. \n\nLet’s define: \nLet the number of cats be C. \nThen, number of snakes = C + 6 \nNumber of parrots = C - 1 \nNumber of dogs = 2 (given) \n\nPets with four legs: cats and dogs. \nSo, total four-legged pets = C (cats) + 2 (dogs) = 6 \nTherefore, C + 2 = 6 \nSo, C = 4 \n\nNow, calculate all pets: \n- Cats: 4 \n- Snakes: 4 + 6 = 10 \n- Parrots: 4 - 1 = 3 \n- Dogs: 2 \n\nTotal pets = 4 + 10 + 3 + 2 = 19 \n\nANSWER: 19",
"role": "assistant"
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] |
Olaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?
|
196
|
Dad gave Olaf 10 toy cars.
Mum gave 5 more than Dad, so Mum gave 10 + 5 = 15 toy cars.
Auntie gave 6 toy cars.
Uncle gave 1 less than Auntie, so Uncle gave 6 - 1 = 5 toy cars.
Grandpa gave twice as many as the uncle, so Grandpa gave 2 × 5 = 10 toy cars.
Total given by family: 10 (Dad) + 15 (Mum) + 6 (Auntie) + 5 (Uncle) + 10 (Grandpa) = 46 toy cars.
Olaf's original collection: 150 cars.
Total after receiving gifts: 150 + 46 = 196 toy cars.
ANSWER: 196
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nDad gave Olaf 10 toy cars. \nMum gave 5 more than Dad, so Mum gave 10 + 5 = 15 toy cars. \nAuntie gave 6 toy cars. \nUncle gave 1 less than Auntie, so Uncle gave 6 - 1 = 5 toy cars. \nGrandpa gave twice as many as the uncle, so Grandpa gave 2 × 5 = 10 toy cars. \nTotal given by family: 10 (Dad) + 15 (Mum) + 6 (Auntie) + 5 (Uncle) + 10 (Grandpa) = 46 toy cars. \nOlaf's original collection: 150 cars. \nTotal after receiving gifts: 150 + 46 = 196 toy cars. \n\nANSWER: 196",
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[
{
"content": "Olaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?",
"role": "user"
},
{
"content": " \nDad gave Olaf 10 toy cars. \nMum gave 5 more than Dad, so Mum gave 10 + 5 = 15 toy cars. \nAuntie gave 6 toy cars. \nUncle gave 1 less than Auntie, so Uncle gave 6 - 1 = 5 toy cars. \nGrandpa gave twice as many as the uncle, so Grandpa gave 2 × 5 = 10 toy cars. \nTotal given by family: 10 (Dad) + 15 (Mum) + 6 (Auntie) + 5 (Uncle) + 10 (Grandpa) = 46 toy cars. \nOlaf's original collection: 150 cars. \nTotal after receiving gifts: 150 + 46 = 196 toy cars. \n\nANSWER: 196",
"role": "assistant"
}
] |
Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?
|
4
|
Emma starts with $100.
She spends $8 each day for 7 days:
7 × $8 = $56
She has $100 - $56 = $44 left.
She asks for as many $5 bills as possible.
$44 ÷ $5 = 8.8 → she can get 8 full $5 bills: 8 × $5 = $40.
She leaves the remainder in the account: $44 - $40 = $4.
ANSWER: 4
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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{
"content": " \nEmma starts with $100. \nShe spends $8 each day for 7 days: \n7 × $8 = $56 \nShe has $100 - $56 = $44 left. \nShe asks for as many $5 bills as possible. \n$44 ÷ $5 = 8.8 → she can get 8 full $5 bills: 8 × $5 = $40. \nShe leaves the remainder in the account: $44 - $40 = $4. \n\nANSWER: 4",
"role": "assistant"
}
] |
[
{
"content": "Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?",
"role": "user"
},
{
"content": " \nEmma starts with $100. \nShe spends $8 each day for 7 days: \n7 × $8 = $56 \nShe has $100 - $56 = $44 left. \nShe asks for as many $5 bills as possible. \n$44 ÷ $5 = 8.8 → she can get 8 full $5 bills: 8 × $5 = $40. \nShe leaves the remainder in the account: $44 - $40 = $4. \n\nANSWER: 4",
"role": "assistant"
}
] |
Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?
|
15
|
The total hike distance is 50 kilometers.
On the first day, Ezekiel covered 10 kilometers.
On the second day, he covered half the full hike distance, which is 50 / 2 = 25 kilometers.
So, after two days, the total distance covered is 10 + 25 = 35 kilometers.
Therefore, on the third day, he needs to hike 50 - 35 = 15 kilometers to finish the hike.
ANSWER: 15
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
},
{
"content": " \nThe total hike distance is 50 kilometers. \nOn the first day, Ezekiel covered 10 kilometers. \nOn the second day, he covered half the full hike distance, which is 50 / 2 = 25 kilometers. \nSo, after two days, the total distance covered is 10 + 25 = 35 kilometers. \nTherefore, on the third day, he needs to hike 50 - 35 = 15 kilometers to finish the hike. \n\nANSWER: 15",
"role": "assistant"
}
] |
[
{
"content": "Ezekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?",
"role": "user"
},
{
"content": " \nThe total hike distance is 50 kilometers. \nOn the first day, Ezekiel covered 10 kilometers. \nOn the second day, he covered half the full hike distance, which is 50 / 2 = 25 kilometers. \nSo, after two days, the total distance covered is 10 + 25 = 35 kilometers. \nTherefore, on the third day, he needs to hike 50 - 35 = 15 kilometers to finish the hike. \n\nANSWER: 15",
"role": "assistant"
}
] |
James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?
|
50
|
On the first day, James collects 50 tins.
On the second day, he collects 3 times that number: 3 × 50 = 150 tins.
On the third day, he collects 50 tins fewer than the second day: 150 − 50 = 100 tins.
Total collected in the first three days: 50 + 150 + 100 = 300 tins.
He needs a total of 500 tins, so the remaining tins are 500 − 300 = 200 tins.
There are 7 days in a week, so after 3 days, 4 days remain.
He collects an equal number of tins on these remaining days: 200 ÷ 4 = 50 tins per day.
ANSWER: 50
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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},
{
"content": " \nOn the first day, James collects 50 tins. \nOn the second day, he collects 3 times that number: 3 × 50 = 150 tins. \nOn the third day, he collects 50 tins fewer than the second day: 150 − 50 = 100 tins. \nTotal collected in the first three days: 50 + 150 + 100 = 300 tins. \nHe needs a total of 500 tins, so the remaining tins are 500 − 300 = 200 tins. \nThere are 7 days in a week, so after 3 days, 4 days remain. \nHe collects an equal number of tins on these remaining days: 200 ÷ 4 = 50 tins per day. \n\nANSWER: 50",
"role": "assistant"
}
] |
[
{
"content": "James decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?",
"role": "user"
},
{
"content": " \nOn the first day, James collects 50 tins. \nOn the second day, he collects 3 times that number: 3 × 50 = 150 tins. \nOn the third day, he collects 50 tins fewer than the second day: 150 − 50 = 100 tins. \nTotal collected in the first three days: 50 + 150 + 100 = 300 tins. \nHe needs a total of 500 tins, so the remaining tins are 500 − 300 = 200 tins. \nThere are 7 days in a week, so after 3 days, 4 days remain. \nHe collects an equal number of tins on these remaining days: 200 ÷ 4 = 50 tins per day. \n\nANSWER: 50",
"role": "assistant"
}
] |
Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?
|
75
|
The third dart earned Don 50 / 2 = 25 points.
Thus, his total score is 50 + 0 + 25 = 75 points.
ANSWER: 75
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
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{
"content": " \nThe third dart earned Don 50 / 2 = 25 points. \nThus, his total score is 50 + 0 + 25 = 75 points.\n\nANSWER: 75",
"role": "assistant"
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] |
[
{
"content": "Don throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?",
"role": "user"
},
{
"content": " \nThe third dart earned Don 50 / 2 = 25 points. \nThus, his total score is 50 + 0 + 25 = 75 points.\n\nANSWER: 75",
"role": "assistant"
}
] |
TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?
|
7
|
- Each pebble creates a splash of 1/4 meter wide.
So, 6 pebbles create: 6 × (1/4) = 1.5 meters.
- Each rock creates a splash of 1/2 meter wide.
So, 3 rocks create: 3 × (1/2) = 1.5 meters.
- Each boulder creates a splash of 2 meters wide.
So, 2 boulders create: 2 × 2 = 4 meters.
- Total splash width: 1.5 + 1.5 + 4 = 7 meters.
ANSWER: 7
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
},
{
"content": " \n- Each pebble creates a splash of 1/4 meter wide. \n So, 6 pebbles create: 6 × (1/4) = 1.5 meters. \n- Each rock creates a splash of 1/2 meter wide. \n So, 3 rocks create: 3 × (1/2) = 1.5 meters. \n- Each boulder creates a splash of 2 meters wide. \n So, 2 boulders create: 2 × 2 = 4 meters. \n- Total splash width: 1.5 + 1.5 + 4 = 7 meters. \n\nANSWER: 7",
"role": "assistant"
}
] |
[
{
"content": "TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?",
"role": "user"
},
{
"content": " \n- Each pebble creates a splash of 1/4 meter wide. \n So, 6 pebbles create: 6 × (1/4) = 1.5 meters. \n- Each rock creates a splash of 1/2 meter wide. \n So, 3 rocks create: 3 × (1/2) = 1.5 meters. \n- Each boulder creates a splash of 2 meters wide. \n So, 2 boulders create: 2 × 2 = 4 meters. \n- Total splash width: 1.5 + 1.5 + 4 = 7 meters. \n\nANSWER: 7",
"role": "assistant"
}
] |
Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?
|
3
|
There are three dozen eggs, which equals 3 × 12 = 36 eggs.
Each omelet requires 4 eggs, so the total number of omelets that can be made is 36 ÷ 4 = 9 omelets.
There are 3 people (including Pauly), so each person gets 9 ÷ 3 = 3 omelets.
ANSWER: 3
The problem has already been solved correctly in the provided text. The final answer is:
ANSWER: 3
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
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{
"content": " \nThere are three dozen eggs, which equals 3 × 12 = 36 eggs. \nEach omelet requires 4 eggs, so the total number of omelets that can be made is 36 ÷ 4 = 9 omelets. \nThere are 3 people (including Pauly), so each person gets 9 ÷ 3 = 3 omelets.\n\nANSWER: 3\n\nThe problem has already been solved correctly in the provided text. The final answer is:\n\nANSWER: 3",
"role": "assistant"
}
] |
[
{
"content": "Pauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?",
"role": "user"
},
{
"content": " \nThere are three dozen eggs, which equals 3 × 12 = 36 eggs. \nEach omelet requires 4 eggs, so the total number of omelets that can be made is 36 ÷ 4 = 9 omelets. \nThere are 3 people (including Pauly), so each person gets 9 ÷ 3 = 3 omelets.\n\nANSWER: 3\n\nThe problem has already been solved correctly in the provided text. The final answer is:\n\nANSWER: 3",
"role": "assistant"
}
] |
Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?
|
55
|
The first stack has 7 blocks.
The second stack is 3 blocks taller than the first: 7 + 3 = 10 blocks.
The third stack is 6 blocks shorter than the second: 10 - 6 = 4 blocks.
The fourth stack is 10 blocks taller than the third: 4 + 10 = 14 blocks.
The fifth stack has twice as many blocks as the second stack: 2 × 10 = 20 blocks.
Total blocks used: 7 + 10 + 4 + 14 + 20 = 55 blocks.
ANSWER: 55
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
},
{
"content": " \nThe first stack has 7 blocks. \nThe second stack is 3 blocks taller than the first: 7 + 3 = 10 blocks. \nThe third stack is 6 blocks shorter than the second: 10 - 6 = 4 blocks. \nThe fourth stack is 10 blocks taller than the third: 4 + 10 = 14 blocks. \nThe fifth stack has twice as many blocks as the second stack: 2 × 10 = 20 blocks. \nTotal blocks used: 7 + 10 + 4 + 14 + 20 = 55 blocks. \n\nANSWER: 55",
"role": "assistant"
}
] |
[
{
"content": "Thomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?",
"role": "user"
},
{
"content": " \nThe first stack has 7 blocks. \nThe second stack is 3 blocks taller than the first: 7 + 3 = 10 blocks. \nThe third stack is 6 blocks shorter than the second: 10 - 6 = 4 blocks. \nThe fourth stack is 10 blocks taller than the third: 4 + 10 = 14 blocks. \nThe fifth stack has twice as many blocks as the second stack: 2 × 10 = 20 blocks. \nTotal blocks used: 7 + 10 + 4 + 14 + 20 = 55 blocks. \n\nANSWER: 55",
"role": "assistant"
}
] |
Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount. How many pounds does one of Trace’s bags weigh?
|
2
|
Gordon's two bags weigh 3 + 7 = 10 pounds in total.
Since Trace's five bags weigh the same as Gordon's two bags, Trace's five bags together weigh 10 pounds.
To find the weight of one of Trace’s bags, divide the total weight by the number of bags: 10 / 5 = 2 pounds.
Each of Trace’s shopping bags weighs 2 pounds.
ANSWER: 2
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nTrace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount. How many pounds does one of Trace’s bags weigh?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
},
{
"content": " \nGordon's two bags weigh 3 + 7 = 10 pounds in total. \nSince Trace's five bags weigh the same as Gordon's two bags, Trace's five bags together weigh 10 pounds. \nTo find the weight of one of Trace’s bags, divide the total weight by the number of bags: 10 / 5 = 2 pounds. \nEach of Trace’s shopping bags weighs 2 pounds.\n\nANSWER: 2",
"role": "assistant"
}
] |
[
{
"content": "Trace has five shopping bags that weigh the same amount as Gordon’s two shopping bags. One of Gordon’s shopping bags weighs three pounds and the other weighs seven. Trace’s shopping bags all weigh the same amount. How many pounds does one of Trace’s bags weigh?",
"role": "user"
},
{
"content": " \nGordon's two bags weigh 3 + 7 = 10 pounds in total. \nSince Trace's five bags weigh the same as Gordon's two bags, Trace's five bags together weigh 10 pounds. \nTo find the weight of one of Trace’s bags, divide the total weight by the number of bags: 10 / 5 = 2 pounds. \nEach of Trace’s shopping bags weighs 2 pounds.\n\nANSWER: 2",
"role": "assistant"
}
] |
A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?
|
160
|
Let the total number of books in the library be $x$.
35% of the books are for children, so 65% are for adults.
We are told that 104 books are for adults.
So, $0.65x = 104$.
Solving for $x$:
$x = \frac{104}{0.65} = 160$.
Therefore, the total number of books in the library is 160.
ANSWER: 160
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nA library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
},
{
"content": " Let the total number of books in the library be $x$. \n35% of the books are for children, so 65% are for adults. \nWe are told that 104 books are for adults. \nSo, $0.65x = 104$. \nSolving for $x$: \n$x = \\frac{104}{0.65} = 160$. \n\nTherefore, the total number of books in the library is 160.\n\nANSWER: 160",
"role": "assistant"
}
] |
[
{
"content": "A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?",
"role": "user"
},
{
"content": " Let the total number of books in the library be $x$. \n35% of the books are for children, so 65% are for adults. \nWe are told that 104 books are for adults. \nSo, $0.65x = 104$. \nSolving for $x$: \n$x = \\frac{104}{0.65} = 160$. \n\nTherefore, the total number of books in the library is 160.\n\nANSWER: 160",
"role": "assistant"
}
] |
Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?
|
5
|
Nicky trades 2 cards worth $8 each, so he gives away 2 * $8 = $16.
In return, he receives 1 card worth $21.
The profit is the value he receives minus the value he gives away: $21 - $16 = $5.
ANSWER: 5
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nNicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nNicky trades 2 cards worth $8 each, so he gives away 2 * $8 = $16.\nIn return, he receives 1 card worth $21.\nThe profit is the value he receives minus the value he gives away: $21 - $16 = $5.\n\nANSWER: 5",
"role": "assistant"
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] |
[
{
"content": "Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make?",
"role": "user"
},
{
"content": " \nNicky trades 2 cards worth $8 each, so he gives away 2 * $8 = $16.\nIn return, he receives 1 card worth $21.\nThe profit is the value he receives minus the value he gives away: $21 - $16 = $5.\n\nANSWER: 5",
"role": "assistant"
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] |
Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the shooting guard, 85 seconds of the small forward, 60 seconds of the power forward, and 180 seconds of the center. How on average, how many minutes does each player get?
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2
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First, we need to find the total seconds of all the videos:
130 (point guard) + 145 (shooting guard) + 85 (small forward) + 60 (power forward) + 180 (center) = 600 seconds.
Next, to find the average time per player in seconds:
600 seconds / 5 players = 120 seconds per player.
Now, convert the average time from seconds to minutes:
120 seconds = 120 / 60 = 2 minutes per player.
Therefore, on average, each player gets 2 minutes of footage.
ANSWER: 2
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nPatricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the shooting guard, 85 seconds of the small forward, 60 seconds of the power forward, and 180 seconds of the center. How on average, how many minutes does each player get?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
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{
"content": " \nFirst, we need to find the total seconds of all the videos: \n130 (point guard) + 145 (shooting guard) + 85 (small forward) + 60 (power forward) + 180 (center) = 600 seconds. \n\nNext, to find the average time per player in seconds: \n600 seconds / 5 players = 120 seconds per player. \n\nNow, convert the average time from seconds to minutes: \n120 seconds = 120 / 60 = 2 minutes per player. \n\nTherefore, on average, each player gets 2 minutes of footage.\n\nANSWER: 2",
"role": "assistant"
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] |
[
{
"content": "Patricia is making a highlight film about her basketball team. She recorded video of every player and plans to put it all together in a longer movie. She has 130 seconds of the point guard, 145 seconds of the shooting guard, 85 seconds of the small forward, 60 seconds of the power forward, and 180 seconds of the center. How on average, how many minutes does each player get?",
"role": "user"
},
{
"content": " \nFirst, we need to find the total seconds of all the videos: \n130 (point guard) + 145 (shooting guard) + 85 (small forward) + 60 (power forward) + 180 (center) = 600 seconds. \n\nNext, to find the average time per player in seconds: \n600 seconds / 5 players = 120 seconds per player. \n\nNow, convert the average time from seconds to minutes: \n120 seconds = 120 / 60 = 2 minutes per player. \n\nTherefore, on average, each player gets 2 minutes of footage.\n\nANSWER: 2",
"role": "assistant"
}
] |
Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much should each pay in tips if they want to split a 20% tip for the whole meal evenly?
|
4
|
The total cost of the meal is $10 + $20 + $30 = $60.
A 20% tip on $60 is 0.20 * 60 = $12.
They want to split this $12 tip evenly among the three of them.
So each person pays $12 / 3 = $4.
ANSWER: 4
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nJulie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much should each pay in tips if they want to split a 20% tip for the whole meal evenly?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nThe total cost of the meal is $10 + $20 + $30 = $60. \nA 20% tip on $60 is 0.20 * 60 = $12. \nThey want to split this $12 tip evenly among the three of them. \nSo each person pays $12 / 3 = $4. \n\nANSWER: 4",
"role": "assistant"
}
] |
[
{
"content": "Julie, Letitia and Anton decided to have dinner together at a nearby restaurant. Julie orders $10 worth of food, Letitia orders $20 worth of food, and Anton orders $30 worth of food. How much should each pay in tips if they want to split a 20% tip for the whole meal evenly?",
"role": "user"
},
{
"content": " \nThe total cost of the meal is $10 + $20 + $30 = $60. \nA 20% tip on $60 is 0.20 * 60 = $12. \nThey want to split this $12 tip evenly among the three of them. \nSo each person pays $12 / 3 = $4. \n\nANSWER: 4",
"role": "assistant"
}
] |
Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be?
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3
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First, find the cost of the socks for the four pairs that he wants to gain 25% profit on.
Each pair costs $2, so four pairs cost 4 * $2 = $8.
25% profit on $8 is calculated as 0.25 * $8 = $2.
Next, for the other five pairs, he wants a $0.2 profit per pair.
So, for five pairs, the profit is 5 * $0.2 = $1.
Total profit is $2 (from the four pairs) + $1 (from the five pairs) = $3.
ANSWER: 3
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nNiko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nFirst, find the cost of the socks for the four pairs that he wants to gain 25% profit on. \nEach pair costs $2, so four pairs cost 4 * $2 = $8. \n25% profit on $8 is calculated as 0.25 * $8 = $2. \nNext, for the other five pairs, he wants a $0.2 profit per pair. \nSo, for five pairs, the profit is 5 * $0.2 = $1. \nTotal profit is $2 (from the four pairs) + $1 (from the five pairs) = $3. \n\nANSWER: 3",
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[
{
"content": "Niko has bought 9 pairs of socks that cost $2 each and plans to resell them. He wants to gain 25% profit from four of the pairs of socks and $0.2 profit each for the other 5 pairs of socks. How much will his total profit be?",
"role": "user"
},
{
"content": " \nFirst, find the cost of the socks for the four pairs that he wants to gain 25% profit on. \nEach pair costs $2, so four pairs cost 4 * $2 = $8. \n25% profit on $8 is calculated as 0.25 * $8 = $2. \nNext, for the other five pairs, he wants a $0.2 profit per pair. \nSo, for five pairs, the profit is 5 * $0.2 = $1. \nTotal profit is $2 (from the four pairs) + $1 (from the five pairs) = $3. \n\nANSWER: 3",
"role": "assistant"
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] |
The number of short students in a class is 2/5 of the total number of students. If there are 90 tall students, and the class has 400 students, calculate the total number of students with average height.
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150
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The total number of students in the class is given as 400.
The number of short students is 2/5 of the total, so we calculate:
(2/5) * 400 = 160 short students.
The number of tall students is given as 90.
To find the number of students with average height, we subtract the number of short and tall students from the total:
400 - 160 - 90 = 150.
Therefore, the total number of students with average height is 150.
ANSWER: 150
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[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nThe number of short students in a class is 2/5 of the total number of students. If there are 90 tall students, and the class has 400 students, calculate the total number of students with average height.\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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{
"content": " \nThe total number of students in the class is given as 400. \nThe number of short students is 2/5 of the total, so we calculate: \n(2/5) * 400 = 160 short students. \nThe number of tall students is given as 90. \nTo find the number of students with average height, we subtract the number of short and tall students from the total: \n400 - 160 - 90 = 150. \nTherefore, the total number of students with average height is 150.\n\nANSWER: 150",
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[
{
"content": "The number of short students in a class is 2/5 of the total number of students. If there are 90 tall students, and the class has 400 students, calculate the total number of students with average height.",
"role": "user"
},
{
"content": " \nThe total number of students in the class is given as 400. \nThe number of short students is 2/5 of the total, so we calculate: \n(2/5) * 400 = 160 short students. \nThe number of tall students is given as 90. \nTo find the number of students with average height, we subtract the number of short and tall students from the total: \n400 - 160 - 90 = 150. \nTherefore, the total number of students with average height is 150.\n\nANSWER: 150",
"role": "assistant"
}
] |
James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?
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12
|
James originally bought 20 coins at $15 each, so his total investment was 20 * 15 = $300.
The value of the coins increases by 2/3, so the new value per coin is:
Original value = $15
Increase = (2/3) * 15 = $10
New value per coin = 15 + 10 = $25
James wants to recoup his original investment of $300 by selling coins at the new value of $25 each.
To find how many coins he needs to sell to get $300:
Number of coins sold = Total investment / New value per coin
Number of coins sold = 300 / 25 = 12
James sold 12 coins to recoup his original investment.
ANSWER: 12
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nJames buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nJames originally bought 20 coins at $15 each, so his total investment was 20 * 15 = $300.\n\nThe value of the coins increases by 2/3, so the new value per coin is:\nOriginal value = $15\nIncrease = (2/3) * 15 = $10\nNew value per coin = 15 + 10 = $25\n\nJames wants to recoup his original investment of $300 by selling coins at the new value of $25 each.\n\nTo find how many coins he needs to sell to get $300:\nNumber of coins sold = Total investment / New value per coin\nNumber of coins sold = 300 / 25 = 12\n\nJames sold 12 coins to recoup his original investment.\n\nANSWER: 12",
"role": "assistant"
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] |
[
{
"content": "James buys 20 coins of a cryptocurrency at $15 each. The value of the coins increases by 2/3. He sells coins to recoup his original investment. How many coins did he sell?",
"role": "user"
},
{
"content": " \nJames originally bought 20 coins at $15 each, so his total investment was 20 * 15 = $300.\n\nThe value of the coins increases by 2/3, so the new value per coin is:\nOriginal value = $15\nIncrease = (2/3) * 15 = $10\nNew value per coin = 15 + 10 = $25\n\nJames wants to recoup his original investment of $300 by selling coins at the new value of $25 each.\n\nTo find how many coins he needs to sell to get $300:\nNumber of coins sold = Total investment / New value per coin\nNumber of coins sold = 300 / 25 = 12\n\nJames sold 12 coins to recoup his original investment.\n\nANSWER: 12",
"role": "assistant"
}
] |
In the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8 orange flowers. For her vase, Lorelei picks 50% of the red roses, 50% pink roses, 25% of the yellow roses, and 25% orange roses. How many roses are in her vase?
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22
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To find the total number of roses in Lorelei's vase, we calculate the number of roses picked from each rose bush based on the given percentages.
- From the first rose bush (12 red flowers): 50% of 12 = 0.5 × 12 = 6 red roses.
- From the second rose bush (18 pink flowers): 50% of 18 = 0.5 × 18 = 9 pink roses.
- From the third rose bush (20 yellow flowers): 25% of 20 = 0.25 × 20 = 5 yellow roses.
- From the fourth rose bush (8 orange flowers): 25% of 8 = 0.25 × 8 = 2 orange roses.
Now, sum the roses picked:
6 (red) + 9 (pink) + 5 (yellow) + 2 (orange) = 22 roses.
ANSWER: 22
|
[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nIn the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8 orange flowers. For her vase, Lorelei picks 50% of the red roses, 50% pink roses, 25% of the yellow roses, and 25% orange roses. How many roses are in her vase?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
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{
"content": " To find the total number of roses in Lorelei's vase, we calculate the number of roses picked from each rose bush based on the given percentages.\n\n- From the first rose bush (12 red flowers): 50% of 12 = 0.5 × 12 = 6 red roses.\n- From the second rose bush (18 pink flowers): 50% of 18 = 0.5 × 18 = 9 pink roses.\n- From the third rose bush (20 yellow flowers): 25% of 20 = 0.25 × 20 = 5 yellow roses.\n- From the fourth rose bush (8 orange flowers): 25% of 8 = 0.25 × 8 = 2 orange roses.\n\nNow, sum the roses picked: \n6 (red) + 9 (pink) + 5 (yellow) + 2 (orange) = 22 roses.\n\nANSWER: 22",
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] |
[
{
"content": "In the park, the first rose bush has 12 red flowers. The second rose bush has 18 pink flowers. The third rose bush has 20 yellow flowers. The fourth rose bush has 8 orange flowers. For her vase, Lorelei picks 50% of the red roses, 50% pink roses, 25% of the yellow roses, and 25% orange roses. How many roses are in her vase?",
"role": "user"
},
{
"content": " To find the total number of roses in Lorelei's vase, we calculate the number of roses picked from each rose bush based on the given percentages.\n\n- From the first rose bush (12 red flowers): 50% of 12 = 0.5 × 12 = 6 red roses.\n- From the second rose bush (18 pink flowers): 50% of 18 = 0.5 × 18 = 9 pink roses.\n- From the third rose bush (20 yellow flowers): 25% of 20 = 0.25 × 20 = 5 yellow roses.\n- From the fourth rose bush (8 orange flowers): 25% of 8 = 0.25 × 8 = 2 orange roses.\n\nNow, sum the roses picked: \n6 (red) + 9 (pink) + 5 (yellow) + 2 (orange) = 22 roses.\n\nANSWER: 22",
"role": "assistant"
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] |
Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medium lemonades. How many cups of large lemonade did Tonya sell?
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5
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Tonya made a total of $50 from selling lemonade. She sold $11 worth of small lemonades and $24 worth of medium lemonades. To find out how much she made from large lemonades, we subtract the amount made from small and medium lemonades from the total. So, $50 - $11 - $24 = $15 from large lemonades. Since each large cup costs $3, we divide the total amount made from large lemonades by the price per large cup. So, $15 / $3 = 5 large cups sold.
ANSWER: 5
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[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nTonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medium lemonades. How many cups of large lemonade did Tonya sell?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
"role": "user"
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{
"content": " Tonya made a total of $50 from selling lemonade. She sold $11 worth of small lemonades and $24 worth of medium lemonades. To find out how much she made from large lemonades, we subtract the amount made from small and medium lemonades from the total. So, $50 - $11 - $24 = $15 from large lemonades. Since each large cup costs $3, we divide the total amount made from large lemonades by the price per large cup. So, $15 / $3 = 5 large cups sold.\n\nANSWER: 5",
"role": "assistant"
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] |
[
{
"content": "Tonya has opened a lemonade stand selling lemonade in small, medium, and large cups at $1, $2 and $3 respectively. At the close of business she ended up making $50. As she went back through her inventory she noticed that she sold $11 worth of small lemonades and $24 worth of medium lemonades. How many cups of large lemonade did Tonya sell?",
"role": "user"
},
{
"content": " Tonya made a total of $50 from selling lemonade. She sold $11 worth of small lemonades and $24 worth of medium lemonades. To find out how much she made from large lemonades, we subtract the amount made from small and medium lemonades from the total. So, $50 - $11 - $24 = $15 from large lemonades. Since each large cup costs $3, we divide the total amount made from large lemonades by the price per large cup. So, $15 / $3 = 5 large cups sold.\n\nANSWER: 5",
"role": "assistant"
}
] |
Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, how many minutes did Leo finish the third part of the assignment?
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45
|
Leo spent 25 minutes on the first part. The second part took twice as long as the first part, so it took 25 * 2 = 50 minutes. The total time for the first two parts is 25 + 50 = 75 minutes. The entire assignment took 2 hours, which is 2 * 60 = 120 minutes. Therefore, the time spent on the third part is 120 - 75 = 45 minutes.
ANSWER: 45
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[
{
"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nLeo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, how many minutes did Leo finish the third part of the assignment?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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{
"content": " Leo spent 25 minutes on the first part. The second part took twice as long as the first part, so it took 25 * 2 = 50 minutes. The total time for the first two parts is 25 + 50 = 75 minutes. The entire assignment took 2 hours, which is 2 * 60 = 120 minutes. Therefore, the time spent on the third part is 120 - 75 = 45 minutes.\n\nANSWER: 45",
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[
{
"content": "Leo's assignment was divided into three parts. He finished the first part of his assignment in 25 minutes. It took him twice as long to finish the second part. If he was able to finish his assignment in 2 hours, how many minutes did Leo finish the third part of the assignment?",
"role": "user"
},
{
"content": " Leo spent 25 minutes on the first part. The second part took twice as long as the first part, so it took 25 * 2 = 50 minutes. The total time for the first two parts is 25 + 50 = 75 minutes. The entire assignment took 2 hours, which is 2 * 60 = 120 minutes. Therefore, the time spent on the third part is 120 - 75 = 45 minutes.\n\nANSWER: 45",
"role": "assistant"
}
] |
Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
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143
|
Start with total beans: 572.
One-fourth of them are red:
(1/4) * 572 = 143 red beans.
Remaining beans after removing red:
572 - 143 = 429 beans.
One-third of the remaining are white:
(1/3) * 429 = 143 white beans.
Remaining beans after removing white:
429 - 143 = 286 beans.
Half of the remaining are green:
(1/2) * 286 = 143 green beans.
ANSWER: 143
Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?
Reasoning:
Start with total beans: 572.
One-fourth of them are red:
(1/4) * 572 = 143 red beans.
Remaining beans after removing red:
572 - 143 = 429 beans.
One-third of the remaining are white:
(1/3) * 429 = 143 white beans.
Remaining beans after removing white:
429 - 143 = 286 beans.
Half of the remaining are green:
(1/2) * 286 = 143 green beans.
ANSWER: 143
We are given the total number of beans: 572.
Step 1: Calculate the number of red beans.
Red beans = (1/4) × 572 = 143
Step 2: Subtract red beans from total to find the remaining beans.
Remaining after red = 572 - 143 = 429
Step 3: Calculate the number of white beans.
White beans = (1/3) × 429 = 143
Step 4: Subtract white beans from the remaining beans.
Remaining after white = 429 - 143 = 286
Step 5: Calculate the number of green beans.
Green beans = (1/2) × 286 = 143
Final Answer: 143
ANSWER: 143
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"content": "Solve the following math problem step by step. The last line of your\nresponse should be of the form \"ANSWER: $ANSWER\" (without quotes) \nwhere $ANSWER is the answer to the problem.\n\nMimi picked up 2 dozen seashells on the beach. Kyle found twice as many shells as Mimi and put them in his pocket. Leigh grabbed one-third of the shells that Kyle found. How many seashells did Leigh have?\n\nReasoning:\nMimi has 2 x 12 = <<2*12=24>>24 sea shells.\nKyle has 24 x 2 = <<24*2=48>>48 sea shells.\nLeigh has 48 / 3 = <<48/3=16>>16 sea shells.\n\nANSWER: 16\n\nFrankie's parents let him have many pets. He has six more snakes than he has cats. He has one less parrot than cats. Six of his pets have four legs. He has 2 dogs. How many pets does he have in total?\n\nReasoning:\nHe has 6 - 2 = <<6-2=4>>4 cats.\nHe has 4 - 1 = <<4-1=3>>3 parrots.\nHe has 4 + 6 = <<4+6=10>>10 snakes.\nHe has a total of 2 + 4 + 3 + 10 = <<2+4+3+10=19>>19 pets.\n\nANSWER: 19\n\nOlaf collects colorful toy cars. At first, his collection consisted of 150 cars. His family, knowing his hobby, decided to give him some toy cars. Grandpa gave Olaf twice as many toy cars as the uncle. Dad gave Olaf 10 toy cars, 5 less than Mum. Auntie gave Olaf 6 toy cars, 1 more than the uncle. How many toy cars does Olaf have in total, after receiving all these gifts?\n\nReasoning:\nDad gave Olaf 10 toy cars,\nMom has given Olaf 5 more toy cars than Dad, so 10 + 5 = <<10+5=15>>15 toy cars\nAuntie gave Olaf 6 toy cars,\nUncle has given 1 less toy than Auntie, so 6 - 1 = <<6-1=5>>5 toy cars\nGrandpa gave Olaf 2 * 5 = <<2*5=10>>10 toy cars.\nAll the family together gave Olaf 10 +15 + 6 + 5 + 10 = <<10+15+6+5+10=46>>46.\nAdding the cars Olaf already had, Olaf's collection has 150 + 46 = <<150+46=196>>196 cars.\n\nANSWER: 196\n\nEmma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?\n\nReasoning:\nShe spend $56 because 7 x 8 = <<7*8=56>>56\nShe has $44 left in the bank because 100 - 56 = <<100-56=44>>44\nShe can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8\nThis is equal to $40 because 8 x 5 = <<8*5=40>>40\nShe has $4 left in the account because 44 - 40 = <<44-40=4>>4\n\nANSWER: 4\n\nEzekiel hikes as a hobby. This past summer, he did a challenging three-day hike across 50 kilometers of wilderness. The first day, he covered 10 kilometers of steep mountainside. The second day was flatter and he was able to cover half the full hike distance. How many kilometers did he have to hike on the third day to finish the hike?\n\nReasoning:\nAfter the first day, Ezekiel had 50 - 10 = <<50-10=40>>40 kilometers of the hike left.\nOn the second day, he covered 50 / 2 = <<50/2=25>>25 kilometers.\nTherefore, on the third day, he had 40 - 25 = <<40-25=15>>15 kilometers left to finish the hike.\n\nANSWER: 15\n\nJames decides to build a tin house by collecting 500 tins in a week. On the first day, he collects 50 tins. On the second day, he manages to collect 3 times that number. On the third day, he collects 50 tins fewer than the number he collected on the second day. If he collects an equal number of tins on the remaining days of the week, what's the number of tins he collected each day for the rest of the week?\n\nReasoning:\nOn the second day, he collected 3 times the number of tins he collected on the first day, which is 3*50 = <<3*50=150>>150 tins.\nOn the third day, he collected 50 tins fewer than the second day, which is 150-50 = <<150-50=100>>100 tins\nThe total for the three days is 150+100+50 = <<150+100+50=300>>300 tins.\nTo reach his goal, he still needs 500-300 = <<500-300=200>>200 tins.\nSince the total number of days left in the week is 4, he'll need to collect 200/4 = <<200/4=50>>50 tins per day to reach his goal\n\nANSWER: 50\n\nDon throws 3 darts. One is a bullseye worth 50 points. One completely missed the target, so received no points. The third was worth half the points of the bullseye. What is the final score from these 3 throws?\n\nReasoning:\nThe third dart earned Don 50 / 2 = <<50/2=25>>25 points.\nThus, his total score is 50 + 0 + 25 = <<50+0+25=75>>75 points.\n\nANSWER: 75\n\nTreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?\n\nReasoning:\nThe pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.\nThe rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.\nThe boulder's total splash width is 4 because 2 times 2 equals four.\nThe total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.\n\nANSWER: 7\n\nPauly is making omelets for his family. There are three dozen eggs, and he plans to use them all. Each omelet requires 4 eggs. Including himself, there are 3 people. How many omelets does each person get?\n\nReasoning:\nHe has 36 eggs because 3 x 12 = <<3*12=36>>36\nHe can make 9 omelets because 36 / 4 = <<36/4=9>>9\nEach person gets 3 omelets because 9 / 3 = <<9/3=3>>3\n\nANSWER: 3\n\nThomas made 4 stacks of wooden blocks. The first stack was 7 blocks tall. The second stack was 3 blocks taller than the first. The third stack was 6 blocks shorter than the second stack, and the fourth stack was 10 blocks taller than the third stack. If the fifth stack has twice as many blocks as the second stack, how many blocks did Thomas use in all?\n\nReasoning:\nThe second stack has 7 blocks + 3 blocks = <<7+3=10>>10 blocks.\nThe third stack has 10 blocks - 6 blocks = <<10-6=4>>4 blocks.\nThe fourth stack has 4 blocks + 10 blocks = <<4+10=14>>14 blocks.\nThe fifth stack has 10 blocks x 2 = <<10*2=20>>20 blocks.\nIn total there are 7 blocks + 10 blocks + 4 blocks + 14 blocks + 20 blocks = <<7+10+4+14+20=55>>55 blocks.\n\nANSWER: 55\n\nSusie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?\n\nRemember to put your answer on its own line at the end in the form\n\"ANSWER: $ANSWER\" (without quotes) where $ANSWER is the answer to \nthe problem, and you do not need to use a \\boxed command.\n\nReasoning:",
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"content": " \nStart with total beans: 572.\n\nOne-fourth of them are red: \n(1/4) * 572 = 143 red beans.\n\nRemaining beans after removing red: \n572 - 143 = 429 beans.\n\nOne-third of the remaining are white:\n(1/3) * 429 = 143 white beans.\n\nRemaining beans after removing white:\n429 - 143 = 286 beans.\n\nHalf of the remaining are green:\n(1/2) * 286 = 143 green beans.\n\nANSWER: 143\n\nSusie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?\n\nReasoning: \nStart with total beans: 572.\n\nOne-fourth of them are red: \n(1/4) * 572 = 143 red beans.\n\nRemaining beans after removing red: \n572 - 143 = 429 beans.\n\nOne-third of the remaining are white:\n(1/3) * 429 = 143 white beans.\n\nRemaining beans after removing white:\n429 - 143 = 286 beans.\n\nHalf of the remaining are green:\n(1/2) * 286 = 143 green beans.\n\nANSWER: 143\nWe are given the total number of beans: 572.\n\nStep 1: Calculate the number of red beans.\nRed beans = (1/4) × 572 = 143\n\nStep 2: Subtract red beans from total to find the remaining beans.\nRemaining after red = 572 - 143 = 429\n\nStep 3: Calculate the number of white beans.\nWhite beans = (1/3) × 429 = 143\n\nStep 4: Subtract white beans from the remaining beans.\nRemaining after white = 429 - 143 = 286\n\nStep 5: Calculate the number of green beans.\nGreen beans = (1/2) × 286 = 143\n\nFinal Answer: 143\n\nANSWER: 143",
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[
{
"content": "Susie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?",
"role": "user"
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{
"content": " \nStart with total beans: 572.\n\nOne-fourth of them are red: \n(1/4) * 572 = 143 red beans.\n\nRemaining beans after removing red: \n572 - 143 = 429 beans.\n\nOne-third of the remaining are white:\n(1/3) * 429 = 143 white beans.\n\nRemaining beans after removing white:\n429 - 143 = 286 beans.\n\nHalf of the remaining are green:\n(1/2) * 286 = 143 green beans.\n\nANSWER: 143\n\nSusie has 572 beans in the jar. One-fourth of them are red and one-third of the remaining beans are white. Then half of the remaining are green beans. How many green beans are there?\n\nReasoning: \nStart with total beans: 572.\n\nOne-fourth of them are red: \n(1/4) * 572 = 143 red beans.\n\nRemaining beans after removing red: \n572 - 143 = 429 beans.\n\nOne-third of the remaining are white:\n(1/3) * 429 = 143 white beans.\n\nRemaining beans after removing white:\n429 - 143 = 286 beans.\n\nHalf of the remaining are green:\n(1/2) * 286 = 143 green beans.\n\nANSWER: 143\nWe are given the total number of beans: 572.\n\nStep 1: Calculate the number of red beans.\nRed beans = (1/4) × 572 = 143\n\nStep 2: Subtract red beans from total to find the remaining beans.\nRemaining after red = 572 - 143 = 429\n\nStep 3: Calculate the number of white beans.\nWhite beans = (1/3) × 429 = 143\n\nStep 4: Subtract white beans from the remaining beans.\nRemaining after white = 429 - 143 = 286\n\nStep 5: Calculate the number of green beans.\nGreen beans = (1/2) × 286 = 143\n\nFinal Answer: 143\n\nANSWER: 143",
"role": "assistant"
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] |
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