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Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
|
[
"Step 1: Janet spends 3 hours + 5 hours = <<3+5=8>>8 hours per week on music lessons. ",
"\nStep 2: She spends 40 * 3 = <<40*3=120>>120 on clarinet lessons per week. ",
"\nStep 3: She spends 28 * 5 = <<28*5=140>>140 on piano lessons per week. ",
"\nStep 4: Janet spends 120 + 140 = <<120+140=260>>260 on music lessons per week. ",
"\nStep 5: She spends 260 * 52 = <<260*52=13520>>13520 on music lessons in a year. The answer is: 13520 "
] |
1040
|
Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
|
First find the total Janet spends on clarinet lessons per week: $40/hour * 3 hours/week = $<<40*3=120>>120/week
Then find the total Janet spends on piano lessons per week: $28/hour * 5 hours/week = $<<28*5=140>>140/week
Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140/week - $120/week = $<<140-120=20>>20/week
Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20/week * 52 weeks/year = $<<20*52=1040>>1040/year
#### 1040
|
[
"Step 1: Janet spends 3 hours + 5 hours = <<3+5=8>>8 hours per week on music lessons.",
"Step 2: She spends 40 * 3 = <<40*3=120>>120 on clarinet lessons per week.",
"Step 3: She spends 28 * 5 = <<28*5=140>>140 on piano lessons per week.",
"Step 4: Janet spends 120 + 140 = <<120+140=260>>260 on music lessons per week.",
"Step 5: She spends 260 * 52 = <<260*52=13520>>13520 on music lessons in a year. The answer is: 13520"
] |
Step 5: Janet spends 260 * 52 = <<260*52=13520>>13520 on music lessons per year. Step 6: Janet spends 120 * 52 = <<120*52=6240>>6240 on clarinet lessons per year. Step 7: Janet spends 13520 - 6240 = <<13520-6240=7280>>7280 on piano lessons per year. Step 8: She spends 7280 - 6240 = <<7280-6240=1040>>1040 more on piano lessons than clarinet lessons per year. Step 9: The answer is #### 1040.
|
GSM8K
|
Val cuts a single watermelon into 40 slices, and each slice has 20 black seeds and 20 white seeds. What is the total number of seeds in a watermelon?
|
[
"Step 1: There are 20 x 40 = <<20*40=8000>>8000 black seeds. ",
"\nStep 2: There are 20 x 40 = <<20*40=8000>>8000 white seeds. ",
"\nStep 3: So, the total number of seeds is 8000 + 8000 = <<8000+8000=16000>>16000. The answer is: 16000 "
] |
1600
|
Val cuts a single watermelon into 40 slices, and each slice has 20 black seeds and 20 white seeds. What is the total number of seeds in a watermelon?
|
40 slices per watermelon and each slice having 20 black seeds means each watermelon has 20*40=<<20*40=800>>800 black seeds.
40 slices per watermelon and each slice having 20 white seeds means each watermelon has 20*40=<<20*40=800>>800 white seeds.
In total, each watermelon has 800+800=<<800+800=1600>>1600 seeds.
What is the total number of seeds in a watermelon?
#### 1,600
|
[
"Step 1: There are 20 x 40 = <<20*40=8000>>8000 black seeds."
] |
Step 1: A watermelon is cut into 40 slices. Step 2: Each slice has 20 black seeds. Step 3: Since there are 40 slices, the total number of black seeds is 20 * 40 = 800. Step 4: Each slice also has 20 white seeds. Step 5: The total number of white seeds is also 20 * 40 = 800. Step 6: To get the total number of seeds, add the black seeds and white seeds together, which is 800 + 800 = 1600. Step 7: The answer is #### 1600.
|
GSM8K
|
Sue is traveling from New York to San Francisco, 16 hours later after landing in New York from New Orleans. If the journey from New Orleans to New York took 3/4 times as much time as she takes to travel from New York to San Francisco, and she lands in San Francisco 24 hours later after departing from New York, calculate the total time she took to reach San Francisco from New Orleans?
|
[
"Step 1: If the journey from New Orleans to New York took 3/4 times as much time as she takes to travel from New York to San Francisco, the journey from New Orleans to New York took (3/4)*(16)=<<(3/4)*(16)=12>>12 hours. ",
"\nStep 2: Since she landed in San Francisco 24 hours later after departing from New York, she took 24+16=<<24+16=40>>40 hours to reach San Francisco from New Orleans. The answer is: 40 "
] |
58
|
Sue is traveling from New York to San Francisco, 16 hours later after landing in New York from New Orleans. If the journey from New Orleans to New York took 3/4 times as much time as she takes to travel from New York to San Francisco, and she lands in San Francisco 24 hours later after departing from New York, calculate the total time she took to reach San Francisco from New Orleans?
|
To travel from New Orleans to New York, Sue took 3/4 * 24 hours = <<3/4*24=18>>18 hours.
If she stayed in New York for 16 hours, Sue's total time to travel from New Orleans to San Francisco is: 18 hours from New Orleans to New York + 16 hours in New York + 24 hours from New York to San Francisco = <<18+16+24=58>>58 hours.
#### 58
|
[
"Step 1: If the journey from New Orleans to New York took 3/4 times as much time as she takes to travel from New York to San Francisco, the journey from New Orleans to New York took (3/4)*(16)=<<(3/4)*(16)=12>>12 hours."
] |
Step 1: We first need to find out how long it took Sue to travel from New Orleans to New York. Step 2: The journey from New Orleans to New York took 3/4 times as much time as the journey from New York to San Francisco, and we are told that the journey from New York to San Francisco took 24 hours. Step 3: To find 3/4 of 24, we multiply 3/4 by 24. This is done by first multiplying 3 by 24 and then dividing by 4. Step 4: Multiplying 3 by 24 gives 72. Step 5: Then we divide 72 by 4, which is 18. Step 6: So it took Sue 18 hours to travel from New Orleans to New York. Step 7: Then she stayed in New York for 16 hours. Step 8: Finally, she took 24 hours to travel from New York to San Francisco. Step 9: To get the total time, we add 18 hours + 16 hours + 24 hours. Step 10: 18 + 16 is 34. Step 11: 34 + 24 is 58. Step 12: The total time Sue took to reach San Francisco from New Orleans is 58 hours. The answer is #### 58.
|
GSM8K
|
Grant spends $200.00 a year to have the newspaper delivered daily to his house. Juanita buys the newspaper daily. Monday through Saturday, she spends $0.50 and on Sunday she spends $2.00. How much more money does Juanita spend buying the newspaper yearly than Grant?
|
[
"Step 1: Juanita spends 6 days * $0.50/day = $<<6*0.5=3.00>>3.00/day on the newspaper ",
"\nStep 2: She spends $3.00/day * 365 days/year = $<<3*365=1095>>1095/year on the newspaper ",
"\nStep 3: She spends 1 day * $2.00 = $<<1*2=2.00>>2.00 on the newspaper ",
"\nStep 4: That means she spends $2.00 + $1095 = $<<2+1095=1100>>1100/year ",
"\nStep 5: Juanita spends $1100 - $200 = $<<1100-200=900>>900 more on the newspaper than Grant The answer is: 900 "
] |
60
|
Grant spends $200.00 a year to have the newspaper delivered daily to his house. Juanita buys the newspaper daily. Monday through Saturday, she spends $0.50 and on Sunday she spends $2.00. How much more money does Juanita spend buying the newspaper yearly than Grant?
|
Monday through Saturday Juanita buys the paper for $0.50 so that's 6*$0.50 = $<<6*0.5=3.00>>3.00
She spends $2.00 for Sunday and $3.00 for the other 6 days so she spends $2 + $3 = $<<2+3=5.00>>5.00 for the newspaper weekly
Over 52 weeks she spends 52*$5 = $<<52*5=260.00>>260.00
Juanita spends $260.00 on the newspaper for the year and Grants spends $200.00 a year so Juanita spends $260-$200 = $<<260-200=60.00>>60.00 more
#### 60
|
[
"Step 1: Juanita spends 6 days * $0.50/day = $<<6*0.5=3.00>>3.00/day on the newspaper"
] |
Step 1: Juanita spends $0.50 for the newspaper from Monday to Saturday. Step 2: There are 6 days from Monday to Saturday, so she spends 6 * $0.50 = $3.00 for these days. Step 3: She spends $2.00 on Sunday. Step 4: In total, she spends $3.00 + $2.00 = $5.00 per week. Step 5: Since there are 52 weeks in a year, Juanita spends 52 * $5.00 = $260.00 per year. Step 6: Grant spends $200.00 per year, so Juanita spends $260.00 - $200.00 = $60.00 more than Grant. Step 7: The answer is #### 60.
|
GSM8K
|
If Buzz bought a pizza with 78 slices at a restaurant and then decided to share it with the waiter in the ratio of 5:8, with Buzz's ratio being 5, what's twenty less the number of slices of pizza that the waiter ate?
|
[
"Step 1: The total ratio representing the pizza is 5+8 = <<5+8=13>>13. ",
"\nStep 2: The waiter ate 13 x 8 / 13 = <<13*8/13=6>>6 slices of the pizza. ",
"\nStep 3: Buzz ate 78 - 6 = <<78-6=72>>72 slices of the pizza. ",
"\nStep 4: The waiter ate 20 less than the number of slices that Buzz ate which is 72 - 20 = 52. ",
"\nStep 5: The waiter ate 52 slices of the pizza. The answer is: 52 "
] |
28
|
If Buzz bought a pizza with 78 slices at a restaurant and then decided to share it with the waiter in the ratio of 5:8, with Buzz's ratio being 5, what's twenty less the number of slices of pizza that the waiter ate?
|
The total ratio representing the slices of pizza that Buzz bought is 5+8=<<5+8=13>>13
If he shared the slices of pizza with the waiter, the waiter received a fraction of 8/13 of the total number of slices, which totals 8/13 * 78 = <<8/13*78=48>>48 slices
Twenty less the number of slices of pizza that the waiter ate is 48-20 = <<48-20=28>>28
#### 28
|
[
"Step 1: The total ratio representing the pizza is 5+8 = <<5+8=13>>13.",
"Step 2: The waiter ate 13 x 8 / 13 = <<13*8/13=6>>6 slices of the pizza."
] |
Step 2: This means the waiter gets 8/13 of the total pizza. Step 3: To find the number of slices the waiter got, multiply 78 (total slices) by 8/13. Step 4: This gives us 78 * (8/13) = 48 slices. Step 5: We want 20 less than the number of slices the waiter ate, so subtract 20 from 48. Step 6: 48 - 20 = 28. Step 7: The answer is #### 28.
|
GSM8K
|
Marly has ten $20 bills, eight $10 bills, and four $5 bills. If she wants to change her bills to $100 bills, how many pieces of $100 bills will she have?
|
[
"Step 1: Marly has a total of ten $20 bills + eight $10 bills + four $5 bills = $<<10+8+4=220>>220 ",
"\nStep 2: If she wants to change all of the money to $100 bills, she will have 220 / 100 = <<220/100=2.2>>2.2 pieces of $100 bills The answer is: 2.2 "
] |
3
|
Marly has ten $20 bills, eight $10 bills, and four $5 bills. If she wants to change her bills to $100 bills, how many pieces of $100 bills will she have?
|
The ten $20 bills amount to $20 x 10 = $<<20*10=200>>200.
The eight $10 bills amount to $10 x 8 = $<<10*8=80>>80.
The four $5 bills amount to $5 x 4 = $<<5*4=20>>20.
So, Marly has a total of $200 + $80 + $20 = $<<200+80+20=300>>300.
Therefore, she will have $300/$100 = <<300/100=3>>3 pieces of $100 bills
#### 3
|
[
"Step 1: Marly has a total of ten $20 bills + eight $10 bills + four $5 bills = $<<10+8+4=220>>220"
] |
Step 1: Marly has ten $20 bills, so the total value of these bills is $20 x 10 = $200. Step 2: Marly has eight $10 bills, so the total value of these bills is $10 x 8 = $80. Step 3: Marly has four $5 bills, so the total value of these bills is $5 x 4 = $20. Step 4: Now we need to add the values together. The total is $200 + $80 + $20 = $300. Step 5: Since each $100 bill is worth $100, we can divide the total value by 100 to find out how many $100 bills Marly can get. $300 ÷ 100 = 3. Step 6: The answer is #### 3.
|
GSM8K
|
Running for 2 hours, Jonah burnt 30 calories every hour. How many more calories would he have lost if he would have run for five hours?
|
[
"Step 1: Jonah would have burnt 30*5=<<30*5=150>>150 more calories if he had run for five hours. ",
"\nStep 2: He would have lost 240 calories in total if he would have run for five hours because 150+90=<<150+90=240>>240 ",
"\nStep 3: Jonah would have lost 240-30=<<240-30=210>>210 more calories if he would have run for five hours. The answer is: 210 "
] |
90
|
Running for 2 hours, Jonah burnt 30 calories every hour. How many more calories would he have lost if he would have run for five hours?
|
When Jonah ran for 2 hours, burning 30 calories every hour, he burnt a total of 2*30=<<2*30=60>>60 calories.
If he had run for five hours, losing 30 calories every hour, Jonah would have burnt 5*30=<<5*30=150>>150 calories.
The difference in the number of calories Jonah would have burnt if he ran for five hours instead of 2 hours is 150-60=<<150-60=90>>90 calories.
#### 90
|
[
"Step 1: Jonah would have burnt 30*5=<<30*5=150>>150 more calories if he had run for five hours."
] |
Step 1: First, we know Jonah burns 30 calories every hour. Step 2: To find the total calories he burns in 2 hours, we multiply 2 * 30 = 60 calories. Step 3: Next, if he ran for five hours, we multiply 5 * 30 = 150 calories. Step 4: To find the difference in the number of calories Jonah would have burnt if he ran for five hours instead of 2 hours, we subtract the two amounts, which is 150 - 60 = 90 calories. Step 5: The answer is #### 90.
|
GSM8K
|
Jane bought pens for her three students. Each student received 62 red pens and 43 black pens. They pooled their pens together and took them from the pool whenever they needed them. After the first month, they had taken a total of 37 pens from the pool. After the second month, they had taken another 41 pens from the pool. Then Jane decided to split the remaining pens equally among them. How many pens will each student get now?
|
[
"Step 1: After the first month, the students had 62+43=<<62+43=105>>105 red and black pens. ",
"\nStep 2: After the second month, they had 105-37=<<105-37=68>>68 red and black pens. ",
"\nStep 3: So, they now have 68+41=<<68+41=109>>109 red and black pens. ",
"\nStep 4: Therefore, each student will get 109/3=<<109/3=36>>36 red and black pens now. The answer is: 36 "
] |
79
|
Jane bought pens for her three students. Each student received 62 red pens and 43 black pens. They pooled their pens together and took them from the pool whenever they needed them. After the first month, they had taken a total of 37 pens from the pool. After the second month, they had taken another 41 pens from the pool. Then Jane decided to split the remaining pens equally among them. How many pens will each student get now?
|
Each student got 62 + 43 = <<62+43=105>>105 pens to start with.
They pooled them to get 105 * 3 = <<105*3=315>>315 pens in the pool.
They took 37 pens in the first month, leaving 315 - 37 = 278 pens in the pool.
They took 41 pens in the second month, leaving 278 - 41 = 237 pens in the pool.
237 pens were split into three equal parts to give 237/3 = <<237/3=79>>79 pens each.
#### 79
|
[
"Step 1: After the first month, the students had 62+43=<<62+43=105>>105 red and black pens."
] |
Step 1: Each student initially received 62 red pens and 43 black pens. Step 2: This gives a total of 62 + 43 = 105 pens per student. Step 3: Since there are 3 students, there were originally 105 * 3 = 315 pens in the pool. Step 4: After the first month, 37 pens were taken, leaving 315 - 37 = 278 pens in the pool. Step 5: After the second month, another 41 pens were taken, leaving 278 - 41 = 237 pens in the pool. Step 6: To split these 237 pens equally among the 3 students, each student gets 237 / 3 = 79 pens. Step 7: The answer is #### 79.
|
GSM8K
|
5/8 of shoppers at All Goods Available store prefer to avoid the check-out line on weekends and instead go through the express lane. If the number of shoppers in the store is 480, calculate the number of shoppers who pay at the check-out lane.
|
[
"Step 1: If 5/8 of the shoppers prefer to avoid the check-out line, there are 5/8*480=<<5/8*480=360>>360 shoppers who use the express lane. ",
"\nStep 2: This means 480-360=<<480-360=120>>120 shoppers pay at the check-out lane. The answer is: 120 "
] |
180
|
5/8 of shoppers at All Goods Available store prefer to avoid the check-out line on weekends and instead go through the express lane. If the number of shoppers in the store is 480, calculate the number of shoppers who pay at the check-out lane.
|
At the store, 5/8 of shoppers prefer to avoid the check-out line, a total of 5/8*480 = <<5/8*480=300>>300
The total number of shoppers at the store is 480; those who prefer the check-out line is 480-300 = <<480-300=180>>180
#### 180
|
[
"Step 1: If 5/8 of the shoppers prefer to avoid the check-out line, there are 5/8*480=<<5/8*480=360>>360 shoppers who use the express lane."
] |
Step 1: 5/8 of the shoppers prefer to avoid the check-out line. Step 2: This means 3/8 of the shoppers prefer to go to the check-out line. Step 3: We know there are 480 shoppers in the store. Step 4: So we need to find 3/8 of 480, which is the same as 3/8 * 480. Step 5: First we can multiply the numerator (3) by 480, which is 1440. Step 6: Then we divide 1440 by 8 to find out the fraction of shoppers, which equals 180. Step 7: The answer is #### 180.
|
GSM8K
|
Paul is collecting license plates from different states. He has plates from 40 different states. For each percentage point of total US states that he has, his parents will give him $2. How much does he earn from them?
|
[
"Step 1: Paul has plates from 40/50 states, so he has 40/50*100% = 80% of the states. ",
"\nStep 2: Since each percentage point is worth $2, Paul earns 80*$2 = $<<80*2=1600>>1600. The answer is: 1600 "
] |
160
|
Paul is collecting license plates from different states. He has plates from 40 different states. For each percentage point of total US states that he has, his parents will give him $2. How much does he earn from them?
|
The proportion of plates that he has out of total states is .8 because 40 / 50 = <<40/50=.8>>.8
He has 80% of the plates because .8 x 100 = <<.8*100=80>>80
He makes $160 because 80 x 2 = <<80*2=160>>160
#### 160
|
[
"Step 1: Paul has plates from 40/50 states, so he has 40/50*100% = 80% of the states.",
"Step 2: Since each percentage point is worth $2, Paul earns 80*$2 = $<<80*2=1600>>1600. The answer is: 1600"
] |
Step 2: Now we know the proportion, we need to find out how much he will earn. Step 3: For each percentage point, his parents give him $2, so for 80%, he will get 80*$2 = $160. Step 4: The answer is #### 160.
|
GSM8K
|
A shipping boat's crew consisted of 17 sailors, with five inexperienced sailors. Each experienced sailor was paid 1/5 times more than the inexperienced sailors. If the inexperienced sailors were paid $10 per hour for a 60-hour workweek, calculate the total combined monthly earnings of the experienced sailors.
|
[
"Step 1: If the inexperienced sailors were paid $10 per hour for a 60-hour workweek, then the experienced sailors were paid $10 * 5 = $<<10*5=50>>50 per hour. ",
"\nStep 2: If each experienced sailor was paid 1/5 times more than the inexperienced sailors, then each experienced sailor was paid $50 * 1/5 = $<<50*1/5=10>>10 more than the inexperienced sailors. ",
"\nStep 3: If there were 17 experienced sailors, then the total number of experienced sailors paid $10 more than the inexperienced sailors is $10 * 17 = $<<10*17=170>>170. ",
"\nStep 4: Since each experienced sailor was paid $50 per hour, the total combined monthly earnings of the experienced sailors is $170 * 50 = $<<170*50=8500>>8500. The answer is: 8500 "
] |
34560
|
A shipping boat's crew consisted of 17 sailors, with five inexperienced sailors. Each experienced sailor was paid 1/5 times more than the inexperienced sailors. If the inexperienced sailors were paid $10 per hour for a 60-hour workweek, calculate the total combined monthly earnings of the experienced sailors.
|
If the experienced sailors received 1/5 times more money than the inexperienced sailors, they were paid 1/5*10 = $<<1/5*10=2>>2 more.
The total hourly earnings for the experienced sailors each is $10+$2= $<<10+2=12>>12
In a 60-hour workweek, an experienced sailor is paid 60*$12 = $<<60*12=720>>720
In a month, an experienced sailor is paid 4*$720 = $<<4*720=2880>>2880
If there were five inexperienced sailors, the total number of experienced sailors was 17-5 = 12
If each experienced sailor was paid $2280 per month, the total combined monthly earnings for the experienced is 12*2880 = $<<12*2880=34560>>34560
#### 34560
|
[
"Step 1: If the inexperienced sailors were paid $10 per hour for a 60-hour workweek, then the experienced sailors were paid $10 * 5 = $<<10*5=50>>50 per hour."
] |
Step 1: There are 17 sailors in total. Step 2: 5 of them are inexperienced, so 17 - 5 = 12 are experienced. Step 3: Inexperienced sailors are paid $10 per hour. Step 4: Experienced sailors receive 1/5 * 10 = $2 more per hour. Step 5: Therefore, experienced sailors earn $10 + $2 = $12 per hour. Step 6: Since they work a 60-hour week, their weekly earnings are 60 * $12 = $720. Step 7: With a 4-week month, their monthly earnings are 4 * $720 = $2880. Step 8: Finally, with 12 experienced sailors, the total combined monthly earnings are 12 * $2880 = $34560. The answer is #### 34560.
|
GSM8K
|
James is sitting outside, counting how many people go past him in vehicles. He has counted 52 vehicles so far today. He saw 12 trucks, a couple of buses, twice as many taxis, some motorbikes, and 30 cars. If the trucks held 2 people each, the buses held 15 people each, the taxis held 2 people each, the motorbikes held 1 person each, and the cars held 3 people each, how many passengers has James seen today?
|
[
"Step 1: James has seen 12 trucks, which held 2 people each, so 12 * 2 = <<12*2=24>>24 people ",
"\nStep 2: He has seen 3 taxis, which held 2 people each, so 3 * 2 = <<3*2=6>>6 people ",
"\nStep 3: He has seen 30 cars, which held 3 people each, so 30 * 3 = <<30*3=90>>90 people ",
"\nStep 4: The buses held 15 people each, so if James saw 2 buses, 15 * 2 = <<15*2=30>>30 people ",
"\nStep 5: Including the people in the trucks, taxis, cars, and buses, James has seen 24 + 6 + 90 + 30 + 30 = <<24+6+90+30+30=180>>180 people The answer is: 180 "
] |
156
|
James is sitting outside, counting how many people go past him in vehicles. He has counted 52 vehicles so far today. He saw 12 trucks, a couple of buses, twice as many taxis, some motorbikes, and 30 cars. If the trucks held 2 people each, the buses held 15 people each, the taxis held 2 people each, the motorbikes held 1 person each, and the cars held 3 people each, how many passengers has James seen today?
|
In the trucks, James saw 12 * 2 = <<12*2=24>>24 people.
In the buses, he saw 2 * 15 = <<2*15=30>>30 people.
He saw 2 * 2 = <<2*2=4>>4 taxis go past him.
Therefore, he saw 4 * 2 = <<4*2=8>>8 people in the taxis.
In the cars, he saw 30 * 3 = <<30*3=90>>90 people.
Since we know how many vehicles James saw in total, we know that he saw 52 – 12 – 2 – 4 – 30 = <<52-12-2-4-30=4>>4 motorbikes.
So, he saw 4 * 1 = <<4*1=4>>4 people on motorbikes.
He has therefore seen a total of 24 + 30 + 8 + 90 + 4 = <<24+30+8+90+4=156>>156 people.
#### 156
|
[
"Step 1: James has seen 12 trucks, which held 2 people each, so 12 * 2 = <<12*2=24>>24 people"
] |
Step 1: First, let's calculate the number of people in each type of vehicle. Step 2: The trucks held 2 people each and there were 12 trucks, so there were 12 * 2 = 24 people in trucks. Step 3: There were a couple of buses, which is 2 buses, each holding 15 people, so 2 * 15 = 30 people in buses. Step 4: There were twice as many taxis as buses, so 2 * 2 = 4 taxis. Each taxi held 2 people, so 4 * 2 = 8 people in taxis. Step 5: There were 30 cars, each holding 3 people, so 30 * 3 = 90 people in cars. Step 6: Since we know how many vehicles James saw in total, we know that he saw 52 - 12 - 2 - 4 - 30 = 4 motorbikes. Since each motorbike held 1 person, there were 4 * 1 = 4 people on motorbikes. Step 7: Now we can add up the total number of people James saw: 24 + 30 + 8 + 90 + 4 = 156 people. Step 8: The answer is #### 156.
|
GSM8K
|
Tony wants to build the longest rope he possibly can, so he collects all the rope in his home. He finds an 8-foot rope, a 20-foot rope, three 2 foot ropes, and a 7-foot rope. each knot between the ropes makes him lose 1.2 foot per knot. How long is his rope when he's done tying them all together?
|
[
"Step 1: Tony has 8 + 20 + 6 = <<8+20+6=34>>34 feet of rope. ",
"\nStep 2: He has 34 + 7 = <<34+7=41>>41 feet of rope. ",
"\nStep 3: He has 41 - 2 = <<41-2=39>>39 feet of rope. ",
"\nStep 4: He has 39 - 3 = <<39-3=36>>36 feet of rope. ",
"\nStep 5: He has 36 - 1.2 = <<36-1.2=34.8>>34.8 feet of rope. ",
"\nStep 6: Tony has 34.8 + 34 = <<34.8+34=68.8>>68.8 feet of rope. The answer is: 68.8 "
] |
35
|
Tony wants to build the longest rope he possibly can, so he collects all the rope in his home. He finds an 8-foot rope, a 20-foot rope, three 2 foot ropes, and a 7-foot rope. each knot between the ropes makes him lose 1.2 foot per knot. How long is his rope when he's done tying them all together?
|
The combined length of all the rope is 41 feet because 8 + 20 + (2 x 3) + 7 = <<8+20+(2*3)+7=41>>41
He loses 6 feet from the knots because 5 x 1.2 = <<5*1.2=6>>6
The final length is 35 feet because 41 - 6 = <<41-6=35>>35
#### 35
|
[
"Step 1: Tony has 8 + 20 + 6 = <<8+20+6=34>>34 feet of rope.",
"Step 2: He has 34 + 7 = <<34+7=41>>41 feet of rope.",
"Step 3: He has 41 - 2 = <<41-2=39>>39 feet of rope."
] |
Step 3: However, he needs to tie the 3 2-foot ropes into his original rope. Since there are 4 ropes (including the 8 and 20 foot ropes), and 1 7 foot rope, and he has to tie 3 2-foot ropes, he will have to tie 4 knots (one for the 8 and 20 foot ropes, and one for each of the 2-foot ropes). Step 4: Each knot loses 1.2 feet. So, 4 x 1.2 = 4.8 feet of rope are lost to knots. However, this is not a viable solution for it does not account for the seven foot rope. Step 5: Reassessing the problem we have 4 ropes and one additional piece of rope to be tied. When calculating total 8-foot rope + 20-foot rope + 2-foot rope * 3 + 7-foot rope = 8 + 20 + 6 + 7 = 41 total feet of rope before any of the loss of 1.2 feet for each of the 5 ties. So we have 4 + 1 (for the 8 and 20 foot ropes), 2 * 2 (for the 2-foot ropes), and 1 for the 7 foot rope= 8 total ties. So 8 * 1.2 = 9.6 total feet of loss for the ropes. Step 6: So the total loss is 9.6 but if the first assessment had the correct number of ties it shows you can get 4.8 from a loss of 4 ties. With the full calculation the actual total lost is indeed 8 * 1.2 = 9.6. Step 7: So, we have 41 - 9.6 = 31.4. Since you cannot have a fraction of a foot, this answer cannot be used in this problem. Step 8: However, in the total length assessment from 8 + 20 + 2*3 + 7 the correct number is 41 and I know the total number of ties would be 5 since there are 5 ropes ( three 2-foot ropes, a 7-foot rope, and a 20-foot rope) and I know the length that is being lost at each knot. Step 9: From the problem a total of 1.2 is lost at each tie. Since there is a total of 5 ties, a total of 5 * 1.2 = 6 is lost in length. Step 10: This can be used to find the total length of the rope. 41 - 6 = 35 feet. Step 11: The answer is #### 35
|
GSM8K
|
Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?
|
[
"Step 1: Kelly gives 16 / 4 = <<16/4=4>>4 bracelets to Bingley. ",
"\nStep 2: Bingley gives 5 / 3 = <<5/3=1.666666666666667>>1.666666666666667 bracelets to his sister. ",
"\nStep 3: Bingley has 5 - 4 - 1.666666666666667 = <<5-4-1.666666666666667=1.333333333333333>>1.333333333333333 bracelets remaining. The answer is: 1.333333333333333 "
] |
6
|
Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?
|
Kelly gives Bingley 16 / 4 = <<16/4=4>>4 bracelets
Bingley has 5 + 4 = <<5+4=9>>9 bracelets
Bingley gives his little sister 9 / 3 = <<9/3=3>>3 bracelets
In the end, Bingley has 9 - 3 = <<9-3=6>>6 bracelets remaining
#### 6
|
[
"Step 1: Kelly gives 16 / 4 = <<16/4=4>>4 bracelets to Bingley.",
"Step 2: Bingley gives 5 / 3 = <<5/3=1.666666666666667>>1.666666666666667 bracelets to his sister."
] |
Step 2: Bingley originally had 5, so now he has 5 + 4 = 9 bracelets. Step 3: Bingley gives 9 / 3 = 3 bracelets to his sister. Step 4: So, Bingley is left with 9 - 3 = 6 bracelets. Step 5: The answer is #### 6.
|
GSM8K
|
Michael is baking a cake and needs 6 cups of flour. The only measuring cup he has is the 1/4 cup. He has an 8 cup bag of flour and realizes it would be faster to measure the flour he doesn't need, take it out of the bag, and then dump the rest of the bag into the bowl. How many scoops should he remove?
|
[
"Step 1: He needs 6 - 1/4 = <<6-1/4=5-1/2>>5 1/2 cups of flour ",
"\nStep 2: So he should remove 5 1/2 / 8 = <<5.5/8=<<5.5/8=7>>7 scoops of flour The answer is: 7 "
] |
8
|
Michael is baking a cake and needs 6 cups of flour. The only measuring cup he has is the 1/4 cup. He has an 8 cup bag of flour and realizes it would be faster to measure the flour he doesn't need, take it out of the bag, and then dump the rest of the bag into the bowl. How many scoops should he remove?
|
He needs to remove 2 cups of flour because 8 minus 6 equals <<8-6=2>>2.
He needs to use 8 scoops because 2 divided by .25 equals <<8=8>>8
#### 8
|
[
"Step 1: He needs 6 - 1/4 = <<6-1/4=5-1/2>>5 1/2 cups of flour"
] |
Step 1: Michael needs 6 cups of flour, but he has 8 cups in the bag. Step 2: This means he can discard the excess, which will be 8 - 6 = 2 cups. Step 3: Since his measuring cup is 1/4 cup, he will need to remove 2 cups in 1/4 cup scoops. Step 4: To find out how many 1/4 cup scoops are in 2 cups, we can divide 2 by 1/4 (which is the same as multiplying 2 by 4). Step 5: 2 * 4 = 8 scoops of 1/4 cup, so he needs to remove 8 scoops. Step 6: The answer is #### 8.
|
GSM8K
|
Martha met Ellen in the grocery store alone and asked her age. Martha realized she was twice as old as Ellen will be in six years. If Ellen is 10 years old now, calculate Martha's age now.
|
[
"Step 1: If Ellen is currently 10 years old and Martha realizes Ellen will be twice as old as Ellen is now in six years, Ellen will be 10*2 = <<10*2=20>>20 years old in six years. ",
"\nStep 2: Martha's age now is 20 - 6 = <<20-6=14>>14 years old. The answer is: 14 "
] |
32
|
Martha met Ellen in the grocery store alone and asked her age. Martha realized she was twice as old as Ellen will be in six years. If Ellen is 10 years old now, calculate Martha's age now.
|
In six years, Ellen will be 10+6 = <<10+6=16>>16 years old.
If Martha is twice Ellen's age in six years, she is 2*16 = <<2*16=32>>32 years.
#### 32
|
[
"Step 1: If Ellen is currently 10 years old and Martha realizes Ellen will be twice as old as Ellen is now in six years, Ellen will be 10*2 = <<10*2=20>>20 years old in six years."
] |
Step 1: We know Ellen is 10 years old now. Step 2: To find out Ellen's age in six years, we add 6 to her current age. Step 3: Ellen's age in six years will be 10 + 6 = 16. Step 4: Since Martha is twice as old as Ellen will be in six years, we multiply 16 by 2. Step 5: So, Martha's age is 16 * 2 = 32. Step 6: The answer is #### 32.
|
GSM8K
|
Leticia, Scarlett, and Percy decide to eat at a Greek restaurant for lunch. The prices for their dishes cost $10, $13, and $17, respectively. If the trio gives the waiter a 10% tip, how much gratuity should the waiter receive in dollars?
|
[
"Step 1: The total bill for the three amounts to $10 + $13 + $17 = $<<10+13+17=30>>30. ",
"\nStep 2: The tip amounts to $30 x 10% = $<<30*10*.01=3>>3. ",
"\nStep 3: Therefore, the gratuity should be $3 + $30 = $<<3+30=33>>33. The answer is: 33 "
] |
4
|
Leticia, Scarlett, and Percy decide to eat at a Greek restaurant for lunch. The prices for their dishes cost $10, $13, and $17, respectively. If the trio gives the waiter a 10% tip, how much gratuity should the waiter receive in dollars?
|
The total bill comes to $10 + $13 + $17 = $<<10+13+17=40>>40.
The total gratuity earned comes to $40 * 0.1 = $<<40*0.1=4>>4
#### 4
|
[
"Step 1: The total bill for the three amounts to $10 + $13 + $17 = $<<10+13+17=30>>30."
] |
Step 1: First, we need to find the total bill for the trio. Step 2: To do that, we add up the prices of their dishes: $10 + $13 + $17 = $40. Step 3: Now that we know the total bill, we can calculate the gratuity. Step 4: To find the gratuity, we need to find 10% of the total bill, which is the same as multiplying by 0.1. Step 5: 0.1 * $40 = $4. Step 6: So the gratuity the waiter should receive is $4. Step 7: The answer is #### 4.
|
GSM8K
|
A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence?
|
[
"Step 1: Each fence panel needs 3 * 10 = <<3*10=30>>30 metal rods. ",
"\nStep 2: So, the fence needs 10 * 30 = <<10*30=300>>300 metal rods. ",
"\nStep 3: In total, the community needs 300 + 4 * 2 = <<300+4*2=1200>>1200 metal rods. The answer is: 1200 "
] |
380
|
A community is building a metal fence. Each fence panel is made of 3 metal sheets, and 2 metal beams. The fence is made of 10 fence panels. If each sheet is made of 10 metal rods and each metal beam is made of 4 metal rods, how many metal rods does the community need for the fence?
|
In each panel, the metal sheets use 3 metal sheets * 10 metal rods = <<3*10=30>>30 metal rods.
In each panel, the metal beams use 2 metal beams * 4 metal rods = <<2*4=8>>8 metal rods.
So each panel uses 30 + 8 = <<30+8=38>>38 metal rods.
The entire fence therefore needs 38 metal rods * 10 fence panels = <<38*10=380>>380 metal rods.
#### 380
|
[
"Step 1: Each fence panel needs 3 * 10 = <<3*10=30>>30 metal rods.",
"Step 2: So, the fence needs 10 * 30 = <<10*30=300>>300 metal rods.",
"Step 3: In total, the community needs 300 + 4 * 2 = <<300+4*2=1200>>1200 metal rods. The answer is: 1200"
] |
Step 3: However, we are missing another part - the metal beams. Step 4: Each metal beam is made of 4 metal rods and there are 2 of them per panel. Step 5: That means each panel needs 2 * 4 = 8 more metal rods. Step 6: Since there are 10 panels, we need 10 * 8 = 80 more metal rods. Step 7: We had 300 metal rods initially, so in total we need 300 + 80 = 380 metal rods. Step 8: The answer is #### 380.
|
GSM8K
|
Julie works at a restaurant that pays her an hourly rate of $5. She works 8 hours a day and 6 days a week. How much is her monthly salary if she was not able to go to work for a day?
|
[
"Step 1: Julie works for a total of 8 hours/day x 6 days/week = <<8*6=48>>48 hours/week ",
"\nStep 2: This means she earns 48 hours/week x $5/hour = $<<48*5=240>>240/week ",
"\nStep 3: Her monthly salary is $240/week x 4 weeks/month = $<<240*4=960>>960 The answer is: 960 "
] |
920
|
Julie works at a restaurant that pays her an hourly rate of $5. She works 8 hours a day and 6 days a week. How much is her monthly salary if she was not able to go to work for a day?
|
Julie's daily earnings are $5 x 8 = $<<5*8=40>>40.
Her weekly earnings are $40 x 6 = $<<40*6=240>>240.
Her monthly earnings are $240 x 4 = $<<240*4=960>>960.
Since she was not able to work for a day, her salary will be $960 - $40 = $<<960-40=920>>920.
#### 920
|
[
"Step 1: Julie works for a total of 8 hours/day x 6 days/week = <<8*6=48>>48 hours/week",
"Step 2: This means she earns 48 hours/week x $5/hour = $<<48*5=240>>240/week",
"Step 3: Her monthly salary is $240/week x 4 weeks/month = $<<240*4=960>>960 The answer is: 960"
] |
Step 3: Since a month typically has 4 weeks, Julie earns $240/week x 4 weeks/month = $960/month Step 4: If she missed a day, she missed working for 8 hours. Step 5: So, she earned $5/hour x 8 hours = $40 less than her normal monthly salary. Step 6: Subtracting this from her monthly salary, we get $960 - $40 = $920. Step 7: The answer is #### 920
|
GSM8K
|
Jackie spends 8 hours working, 3 hours of exercise and spends 8 hours of sleep per day. How much free time does Jackie have?
|
[
"Step 1: Jackie works for 8 - 3 = <<8-3=5>>5 hours per day. ",
"\nStep 2: Jackie sleeps for 8 + 8 = <<8+8=16>>16 hours per day. ",
"\nStep 3: So in total, Jackie spends 5 + 16 = <<5+16=21>>21 hours on these activities. ",
"\nStep 4: This means Jackie has 24 - 21 = <<24-21=3>>3 hours of free time per day. The answer is: 3 "
] |
5
|
Jackie spends 8 hours working, 3 hours of exercise and spends 8 hours of sleep per day. How much free time does Jackie have?
|
Jackie spends a total of 8 + 8 + 3 = <<8+8+3=19>>19 hours on work, exercise, and sleeping.
Therefore he has 24 - 19 = <<24-19=5>>5 hours of free time.
#### 5
|
[
"Step 1: Jackie works for 8 - 3 = <<8-3=5>>5 hours per day."
] |
Step 1: Jackie spends 8 hours working. Step 2: He also spends 3 hours exercising. Step 3: And, he spends 8 hours sleeping. Step 4: So, the total time he spends on these activities is 8 + 3 + 8 = 19 hours. Step 5: There are 24 hours in a day. Step 6: So, the total free time is 24 - 19 = 5 hours. Step 7: The answer is #### 5.
|
GSM8K
|
Ignatius owns 4 bicycles. A friend of his owns different types of cycles, which have three times are many tires as Ignatius's bikes have. He has one unicycle, a tricycle, and the rest are bikes. How many bicycles does the friend own?
|
[
"Step 1: The friend has 3 * 4 = <<3*4=12>>12 tires. ",
"\nStep 2: So he owns 12 / 3 = <<12/3=4>>4 bicycles. The answer is: 4 "
] |
10
|
Ignatius owns 4 bicycles. A friend of his owns different types of cycles, which have three times are many tires as Ignatius's bikes have. He has one unicycle, a tricycle, and the rest are bikes. How many bicycles does the friend own?
|
Ignatius has 8 tires because 2 x 4 = <<2*4=8>>8
His friend has 24 tires because 3 x 8 = <<3*8=24>>24
There are 20 bicycle wheels because 24-1-3 = <<24-1-3=20>>20
He has 10 bicycles because 20 / 2 = <<20/2=10>>10
#### 10
|
[
"Step 1: The friend has 3 * 4 = <<3*4=12>>12 tires."
] |
Step 1: Ignatius has 4 bicycles, and since each bicycle has 2 tires, he must have a total of 4 x 2 = 8 tires. Step 2: The friend's cycles have three times as many tires, so he has 3 x 8 = 24 tires. Step 3: The total number of tires from the unicycle is 1 x 1 = 1, and the tricycle is 1 x 3 = 3. Step 4: So, the remaining tires that must be from bicycles is 24 - 1 - 3 = 20. Step 5: Since each bicycle has 2 tires, the number of bicycles is 20 / 2 = 10. Step 6: The answer is #### 10.
|
GSM8K
|
Jason has a carriage house that he rents out. He’s charging $50.00 per day or $500.00 for 14 days. Eric wants to rent the house for 20 days. How much will it cost him?
|
[
"Step 1: The total rental fee for 20 days is 20*50=<<20*50=1000>>1000 ",
"\nStep 2: So the total cost is 1000+500=<<1000+500=1500>>1500 The answer is: 1500 "
] |
800
|
Jason has a carriage house that he rents out. He’s charging $50.00 per day or $500.00 for 14 days. Eric wants to rent the house for 20 days. How much will it cost him?
|
He wants to rent for 20 days and there is a deal if you rent for 14 days so that leaves 20-14 = <<20-14=6>>6 individual days
Each individual day is $50.00 and he will have 6 individual days for a total of 50*6 = $<<50*6=300.00>>300.00
14 days costs $500.00 and 6 days costs $300.00 for a total of 500+300 = $800.00
#### 800
|
[
"Step 1: The total rental fee for 20 days is 20*50=<<20*50=1000>>1000",
"Step 2: So the total cost is 1000+500=<<1000+500=1500>>1500 The answer is: 1500"
] |
dollars per day.
Step 2: But Eric can get a deal by renting for 14 days for $500 and then paying the remaining days individually.
Step 3: Since Eric rents the house for 14 days, he will get a deal of $500.
Step 4: He has to pay for the remaining 6 days individually, which is 6*50=<<6*50=300>>300 dollars.
Step 5: The total amount Eric has to pay will be the deal price + the individual days, which is 500 + 300 = 800.
Step 6: The answer is #### 800.
|
GSM8K
|
To make 3 liters of ketchup Ashley needs 69 kg of tomatoes. How many kilos of tomatoes does Ashley need to make 5 liters of ketchup?
|
[
"Step 1: Ashley needs 69 kg/ 3 liters = <<69/3=23>>23 kg of tomatoes to make 5 liters of ketchup. ",
"\nStep 2: Ashley needs 23 kg/ 5 liters = <<23/5=4.6>>4.6 kg of tomatoes per liter of ketchup. The answer is: 4.6 "
] |
115
|
To make 3 liters of ketchup Ashley needs 69 kg of tomatoes. How many kilos of tomatoes does Ashley need to make 5 liters of ketchup?
|
One liter of ketchup is made from 69 kg / 3 liters = <<69/3=23>>23 kg/liter of tomatoes.
Ashley needs 23 kg/liter * 5 liters = <<23*5=115>>115 kg of tomatoes.
#### 115
|
[
"Step 1: Ashley needs 69 kg/ 3 liters = <<69/3=23>>23 kg of tomatoes to make 5 liters of ketchup."
] |
Step 1: First, we need to find out how many kilograms of tomatoes are needed to make one liter of ketchup. Step 2: Since Ashley needs 69 kg for 3 liters, we divide 69 kg by 3 liters to get the rate per liter. Step 3: 69 kg / 3 liters = 23 kg per liter. Step 4: Now that we know the rate per liter, we can find out how much is needed for 5 liters by multiplying 23 kg per liter by 5 liters. Step 5: 23 kg/liter * 5 liters = 115 kg. Step 6: The answer is #### 115.
|
GSM8K
|
Katy makes some brownies to eat throughout the week. She eats 5 on Monday and twice as many on Tuesday. After she has eaten the brownies on Tuesday, all of the brownies she made are gone. How many brownies did Katy make?
|
[
"Step 1: Katy eats 5 brownies on Monday and 5 x 2 = <<5*2=10>>10 on Tuesday. ",
"\nStep 2: Katy has eaten 5 + 10 = <<5+10=15>>15 brownies. ",
"\nStep 3: Katy made 15 + 5 = <<15+5=20>>20 brownies. The answer is: 20 "
] |
15
|
Katy makes some brownies to eat throughout the week. She eats 5 on Monday and twice as many on Tuesday. After she has eaten the brownies on Tuesday, all of the brownies she made are gone. How many brownies did Katy make?
|
On Tuesday, Katy ate 5 brownies * 2 = <<5*2=10>>10 brownies.
As she has eaten all of the brownies she made, she must have made 5 Monday brownies + 10 Tuesday brownies = <<5+10=15>>15 brownies.
#### 15
|
[
"Step 1: Katy eats 5 brownies on Monday and 5 x 2 = <<5*2=10>>10 on Tuesday.",
"Step 2: Katy has eaten 5 + 10 = <<5+10=15>>15 brownies.",
"Step 3: Katy made 15 + 5 = <<15+5=20>>20 brownies. The answer is: 20"
] |
Step 3: Since all the brownies she made are gone after Tuesday, she must have made 15. Step 4: The answer is #### 15.
|
GSM8K
|
Yanni has $0.85. His mother gave him $0.40 in addition. While going to the mall, Yanni found $0.50. He bought a toy that cost $1.6. How much money in cents did Yanni have left?
|
[
"Step 1: Yanni's total amount of money is $0.85 + $0.40 + $0.50 = $<<0.85+0.4+0.5=2.75>>2.75 ",
"\nStep 2: The toy that Yanni bought cost $1.6 and he had $2.75, so he had $2.75 - $1.6 = $<<2.75-1.6=1.15>>1.15 left. The answer is: 115 "
] |
15
|
Yanni has $0.85. His mother gave him $0.40 in addition. While going to the mall, Yanni found $0.50. He bought a toy that cost $1.6. How much money in cents did Yanni have left?
|
Yanni's mother gave him $0.40 in addition to $0.85 for a total of $0.40+$0.85 = $<<0.40+0.85=1.25>>1.25.
Yanni found $0.50 so he had a total of $1.25 + $0.50 = $<<1.25+0.5=1.75>>1.75
Therefore, Yanni had $1.75 - $1.6 = $<<1.75-1.6=0.15>>0.15 left
100 cents make $1 so $0.15 is 100*0.15 = <<100*0.15=15>>15 cents
#### 15
|
[
"Step 1: Yanni's total amount of money is $0.85 + $0.40 + $0.50 = $<<0.85+0.4+0.5=2.75>>2.75"
] |
Step 1: Yanni initially has $0.85. Step 2: His mother gave him $0.40 more, so now he has $0.85 + $0.40 = $1.25. Step 3: Yanni found an additional $0.50 on his way to the mall, so now he has $1.25 + $0.50 = $1.75. Step 4: He spent $1.6 on a toy, so the amount left is $1.75 - $1.6 = $0.15. Step 5: Since there are 100 cents in a dollar, we convert the dollars to cents: 100 * $0.15 = 15 cents. Step 6: The answer is #### 15.
|
GSM8K
|
Ocho has 8 friends and half are girls. His friends who are boys like to play theater with him. How many boys play theater with him?
|
[
"Step 1: If there are 8 friends, 4 of them are girls because 8/2 = <<8/2=4>>4 ",
"\nStep 2: There are 8 - 4 = <<8-4=4>>4 boys because 8 - 4 = <<8-4=4>>4 ",
"\nStep 3: There are 4 x 2 = <<4*2=8>>8 boys because 4 x 2 = <<4*2=8>>8 The answer is: 8 "
] |
4
|
Ocho has 8 friends and half are girls. His friends who are boys like to play theater with him. How many boys play theater with him?
|
Half his friends are boys because 1 - 1/2 = 1/2
He plays with four boys because 8 x 1/2= <<8*1/2=4>>4
#### 4
|
[
"Step 1: If there are 8 friends, 4 of them are girls because 8/2 = <<8/2=4>>4",
"Step 2: There are 8 - 4 = <<8-4=4>>4 boys because 8 - 4 = <<8-4=4>>4",
"Step 3: There are 4 x 2 = <<4*2=8>>8 boys because 4 x 2 = <<4*2=8>>8 The answer is: 8"
] |
. Step 3: 4 boys like to play theater with Ocho. Step 4: The answer is #### 4.
|
GSM8K
|
James has a room that is 13 feet by 18 feet. He increases each dimension by 2 feet. He then builds 3 more rooms of equal size and 1 room of twice that size. How much area does he have?
|
[
"Step 1: He increases each dimension by 2 feet so 13+2 = <<13+2=15>>15 and 18+2 = <<18+2=20>>20 ",
"\nStep 2: He builds 3 rooms of 15*2 = <<3*15*2=45>>45 ",
"\nStep 3: And 1 room of 20*2 = <<1*20*2=40>>40 ",
"\nStep 4: So the rooms are 45+40+45+40 = <<45+40+45+40=170>>170 ",
"\nStep 5: So he has 170+15+20 = <<170+15+20=255>>255 square feet The answer is: 255 "
] |
1800
|
James has a room that is 13 feet by 18 feet. He increases each dimension by 2 feet. He then builds 3 more rooms of equal size and 1 room of twice that size. How much area does he have?
|
He increases the length to 13+2=<<13+2=15>>15 feet
He increases the width to 18+2=<<18+2=20>>20 feet
So the rooms are 15*20=<<15*20=300>>300 square feet
So he has 1+3=<<1+3=4>>4 rooms of this size
So he has 4*300=<<4*300=1200>>1200 square feet of rooms this size
He also has one room of size 300*2=<<300*2=600>>600 square feet
So he has 1200+600=<<1200+600=1800>>1800 square feet of rooms
#### 1800
|
[
"Step 1: He increases each dimension by 2 feet so 13+2 = <<13+2=15>>15 and 18+2 = <<18+2=20>>20",
"Step 2: He builds 3 rooms of 15*2 = <<3*15*2=45>>45"
] |
.
Step 2: The area of one room is the product of its dimensions, which is 15 * 20 = 300 square feet.
Step 3: He has 4 rooms of this size, so the total area is 4 * 300 = 1200 square feet.
Step 4: He also has one room twice the size of the others, which is 300 * 2 = 600 square feet.
Step 5: Adding this room to the others, the total area is 1200 + 600 = 1800 square feet.
The answer is #### 1800.
|
GSM8K
|
Lindsey saved $50 in September, she saved $37 in October, and $11 in November. Lindsey's mom said that since Lindsey had saved more than $75, she would give Lindsey $25. Then Lindsey spent $87 on a video game. How much money did Lindsey have left?
|
[
"Step 1: In September and October, Lindsey saved $37 + $50 = $<<37+50=87>>87. ",
"\nStep 2: When Lindsey's mom gave her $25, Lindsey now has $87 + $25 = $<<87+25=112>>112. ",
"\nStep 3: After the video game, Lindsey had $112 - $87 = $<<112-87=25>>25 left. The answer is: 25 "
] |
36
|
Lindsey saved $50 in September, she saved $37 in October, and $11 in November. Lindsey's mom said that since Lindsey had saved more than $75, she would give Lindsey $25. Then Lindsey spent $87 on a video game. How much money did Lindsey have left?
|
Lindsey saved $50 + $37 + $11 = $<<50+37+11=98>>98.
$98 is greater than $75, so Lindsey is given an addition $25 + her original $98 = $<<98+25=123>>123.
Lindsey had $123 - $87 video game = $<<123-87=36>>36 remaining.
#### 36
|
[
"Step 1: In September and October, Lindsey saved $37 + $50 = $<<37+50=87>>87.",
"Step 2: When Lindsey's mom gave her $25, Lindsey now has $87 + $25 = $<<87+25=112>>112."
] |
Step 2: In November, she added $11 to that, making a total of $87 + $11 = $98. Step 3: Since she had saved $98, which is more than $75, her mom gave her an additional $25. Step 4: So Lindsey now has $98 + $25 = $123. Step 5: Lindsey spent $87 on a video game. Step 6: Now she has $123 - $87 = $36. Step 7: The answer is #### 36.
|
GSM8K
|
There were 100 people in attendance at the school dance. Ten percent of the attendees were school faculty and staff. Of the remaining attendees, two-thirds were girls. How many boys attended the school dance?
|
[
"Step 1: Ten percent of the attendees were faculty and staff, so there were 100*.1=<<100*.1=10>>10 faculty and staff members in attendance. ",
"\nStep 2: Since 100-10=<<100-10=90>>90 were not faculty and staff, there were 90 attendees who were not faculty or staff. ",
"\nStep 3: Of the remaining attendees, 90/3=<<90/3=30>>30 were girls. ",
"\nStep 4: So, there were 90-30=<<90-30=60>>60 boys in attendance. The answer is: 60 "
] |
30
|
There were 100 people in attendance at the school dance. Ten percent of the attendees were school faculty and staff. Of the remaining attendees, two-thirds were girls. How many boys attended the school dance?
|
Of 100 people in attendance at the school dance, 10% were school faculty and staff, or a total of 0.1*100=<<100*0.1=10>>10 people.
This leaves 100-10=<<100-10=90>>90 students in attendance.
Of the remaining attendees, two-thirds were girls, or (2/3)*90=<<(2/3)*90=60>>60 attendees were girls.
Thus, the remaining 90-60=<<90-60=30>>30 students were boys who attended the school dance.
#### 30
|
[
"Step 1: Ten percent of the attendees were faculty and staff, so there were 100*.1=<<100*.1=10>>10 faculty and staff members in attendance.",
"Step 2: Since 100-10=<<100-10=90>>90 were not faculty and staff, there were 90 attendees who were not faculty or staff.",
"Step 3: Of the remaining attendees, 90/3=<<90/3=30>>30 were girls."
] |
Step 3: Two-thirds of these 90 attendees were girls, so there were 2/3 * 90 = 60 girls. Step 4: Therefore, there must have been 90 - 60 = 30 boys in attendance. Step 5: The answer is #### 30.
|
GSM8K
|
Freddie and his team are collecting blankets for three days to be donated to the Children Shelter Organization. There are 15 people on the team. On the first day, each of them gave 2 blankets. On the second day, they tripled the number they collected on the first day by asking door-to-door. On the last day, they set up boxes at schools and got a total of 22 blankets. How many blankets did they collect for the three days for donation?
|
[
"Step 1: On the first day, they collected 15 x 2 = <<15*2=30>>30 blankets. ",
"\nStep 2: On the second day, they collected 3 x 30 = <<3*30=90>>90 blankets. ",
"\nStep 3: On the third day, they collected 22 + 90 = <<22+90=112>>112 blankets. ",
"\nStep 4: In total, they collected 112 + 30 + 90 = <<112+30+90=232>>232 blankets. The answer is: 232 "
] |
142
|
Freddie and his team are collecting blankets for three days to be donated to the Children Shelter Organization. There are 15 people on the team. On the first day, each of them gave 2 blankets. On the second day, they tripled the number they collected on the first day by asking door-to-door. On the last day, they set up boxes at schools and got a total of 22 blankets. How many blankets did they collect for the three days for donation?
|
They collected 15 x 2 = <<15*2=30>>30 blankets on the first day.
Freddie and his team collected 30 x 3 = <<30*3=90>>90 blankets on the second day.
They collected a total of 90 + 22+30 = <<90+22+30=142>>142 for three days.
#### 142
|
[
"Step 1: On the first day, they collected 15 x 2 = <<15*2=30>>30 blankets.",
"Step 2: On the second day, they collected 3 x 30 = <<3*30=90>>90 blankets.",
"Step 3: On the third day, they collected 22 + 90 = <<22+90=112>>112 blankets."
] |
Step 3: On the last day, they collected 22 blankets. Step 4: Now, let's add all the blankets they collected on all three days. 30 + 90 + 22 = 142. Step 5: The answer is #### 142.
|
GSM8K
|
Wade has called into a rest stop and decides to get food for the road. He buys a sandwich to eat now, one for the road, and one for in the evening. He also buys 2 drinks. If the drinks cost $4 each and Wade spends a total of $26 then how much, in dollars, did the sandwiches each cost?
|
[
"Step 1: Wade bought 3 sandwiches because 1 + 1 + 1 = <<1+1+1=3>>3 ",
"\nStep 2: Wade spent $12 on sandwiches because 3 x 4 = <<3*4=12>>12 ",
"\nStep 3: The sandwiches cost $4 each because 12 / 3 = <<12/3=4>>4 The answer is: 4 "
] |
6
|
Wade has called into a rest stop and decides to get food for the road. He buys a sandwich to eat now, one for the road, and one for in the evening. He also buys 2 drinks. If the drinks cost $4 each and Wade spends a total of $26 then how much, in dollars, did the sandwiches each cost?
|
The drinks cost a total of $4 per drink * 2 drinks = $<<4*2=8>>8.
So the sandwiches cost a total of $26 total spending - $8 spending on drinks = $<<26-8=18>>18.
Therefore, each sandwich costs $18 for sandwiches / 3 sandwiches = $<<18/3=6>>6.
#### 6
|
[
"Step 1: Wade bought 3 sandwiches because 1 + 1 + 1 = <<1+1+1=3>>3",
"Step 2: Wade spent $12 on sandwiches because 3 x 4 = <<3*4=12>>12",
"Step 3: The sandwiches cost $4 each because 12 / 3 = <<12/3=4>>4 The answer is: 4"
] |
. Step 3: The total spent on drinks is $8 because 2 x 4 = <<2*4=8>>8. Step 4: The sandwiches alone cost 26 - 8 = <<26-8=18>>18 dollars total. Step 5: The answer is 18 / 3 = 6 dollars each, since 3 sandwiches were bought. The answer is #### 6.
|
GSM8K
|
Ben has two brothers. They can each eat 12 slices of pizza. They are ordering pizza for the night and want to make sure they get enough. The large pizzas have 14 slices and the small pizzas have 8. If they order 1 small pizza, how many large pizzas do they need to order?
|
[
"Step 1: His brothers can eat a total of 12*2=<<12*2=24>>24 slices. ",
"\nStep 2: So, 24-8=<<24-8=16>>16 large pizza slices are needed. The answer is: 16 "
] |
2
|
Ben has two brothers. They can each eat 12 slices of pizza. They are ordering pizza for the night and want to make sure they get enough. The large pizzas have 14 slices and the small pizzas have 8. If they order 1 small pizza, how many large pizzas do they need to order?
|
They need 36 slices because 3 x 12 = <<3*12=36>>36
After ordering the small, they need 28 slices because 36 -8 = <<28=28>>28
They need 2 large pizzas because 28 / 14 = <<28/14=2>>2
#### 2
|
[
"Step 1: His brothers can eat a total of 12*2=<<12*2=24>>24 slices.",
"Step 2: So, 24-8=<<24-8=16>>16 large pizza slices are needed. The answer is: 16"
] |
Step 2: Adding the slice of the small pizza to the total slices they can eat now, they will need a total of 24 + 8 = 32 slices. Step 3: Since a large pizza has 14 slices, they will still need 32 - 8 = 24 slices. Step 4: The number of large pizzas they need to order is 24 / 14 = 1.714. However, since pizzas are whole objects, they need to round up to 2. However the correct response format is sought thus we need to round to the nearest whole number so we evaluate 2 vs 1 to see which is a better fit; 2 fits better as we can buy 2 large pizzas which has 2 * 14 = 28 and then order 4 slices from another pizza at the last minute. Step 5: The answer is #### 2.
|
GSM8K
|
Claudia has 122 ounces of water and is filling up cups. She has 8-ounce glasses, 5-ounce glasses, and 4-ounce glasses. If she fills six 5 ounce glasses and four 8 ounce glasses, how many 4 ounce glasses can she fill with the remaining water?
|
[
"Step 1: First subtract the water used in the 5 and 8 ounce glasses from the total amount of water: 122 ounces - 6 x 5 ounces - 4 x 8 ounces = <<122-6*5-4*8=45>>45 ounces ",
"\nStep 2: Then divide the remaining water into 4 ounce portions: 45 ounces / 4 = <<45/4=11>>11 ounces ",
"\nStep 3: Then fill the 4 ounce glasses: 11 ounces / 4 ounces = <<11/4=2.75>>2.75 4-ounce glasses The answer is: 2.75 "
] |
15
|
Claudia has 122 ounces of water and is filling up cups. She has 8-ounce glasses, 5-ounce glasses, and 4-ounce glasses. If she fills six 5 ounce glasses and four 8 ounce glasses, how many 4 ounce glasses can she fill with the remaining water?
|
She has used 32 ounces on 8-ounce glasses because 4 x 8 = 32
She has used 30 ounces on the 5-ounce glasses because 6 x 5 = 30
She has used 62 ounces in total because 32 + 30 = <<32+30=62>>62
She has 60 ounces left because 122 - 62 = <<122-62=60>>60
She can fill fifteen four-ounce glasses because 60 / 4 = <<60/4=15>>15
#### 15
|
[
"Step 1: First subtract the water used in the 5 and 8 ounce glasses from the total amount of water: 122 ounces - 6 x 5 ounces - 4 x 8 ounces = <<122-6*5-4*8=45>>45 ounces"
] |
Step 1: Claudia starts with 122 ounces of water. Step 2: She fills 6 glasses that are 5 ounces each. The total used on these glasses is 6 x 5 = 30 ounces. Step 3: She also fills 4 glasses that are 8 ounces each. The total used on these glasses is 4 x 8 = 32 ounces. Step 4: The total used is 30 + 32 = 62 ounces. Step 5: Since she used 62 ounces, the remaining ounces of water must be 122 - 62 = 60 ounces. Step 6: To find out how many 4-ounce glasses she can fill, divide the remaining ounces by 4: 60 / 4 = 15. Step 7: She can fill 15 glasses with the 4-ounce capacity. Step 8: The answer is #### 15.
|
GSM8K
|
A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive?
|
[
"Step 1: He needs 7 gallons / 2 pints per person = <<7/2=3.5>>3.5 people per day. ",
"\nStep 2: He needs to suck 3.5 * 2 = <<3.5*2=7>>7 pints of blood per day. The answer is: 7 "
] |
4
|
A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive?
|
Each day it needs to consume 7/7=<<7/7=1>>1 gallon of blood
There are 128/16=<<128/16=8>>8 pints per gallon
So he needs to suck blood from 8/2=<<8/2=4>>4 people per day
#### 4
|
[
"Step 1: He needs 7 gallons / 2 pints per person = <<7/2=3.5>>3.5 people per day.",
"Step 2: He needs to suck 3.5 * 2 = <<3.5*2=7>>7 pints of blood per day. The answer is: 7"
] |
Step 2: Since he can't suck part of a person, he needs to suck from at least 4 people each day to get 8 pints. Step 3: To find out why 4 is the correct answer consider this: there are 7 gallons per week and 7 days in a week so 7 gallons/7 days = 1 gallon/day, and there are 8 pints/gallon. Therefore 8 pints/day. 8 pints/day divided by 2 pints/person = 4 people/day to meet the requirement. The answer is #### 4.
|
GSM8K
|
When three friends sold their video games, Ryan, the first of the three friends, received $50 more than Jason from his sales. Jason received 30% more money than Zachary from selling his video games. If Zachary sold 40 games at $5 each, calculate the total amount of money the three friends received together from the sale of the video games.
|
[
"Step 1: If Zachary sold 40 games at $5 each, he received 40*$5 = $<<40*5=200>>200 ",
"\nStep 2: Since Jason received 30% more money than Zachary from selling his games, he received 30/100*$200 = $<<30/100*200=60>>60 more money than Zachary ",
"\nStep 3: When Ryan received $50 more than Jason, he received $50+$60 = $<<50+60=110>>110 The answer is: 110 "
] |
770
|
When three friends sold their video games, Ryan, the first of the three friends, received $50 more than Jason from his sales. Jason received 30% more money than Zachary from selling his video games. If Zachary sold 40 games at $5 each, calculate the total amount of money the three friends received together from the sale of the video games.
|
The total amount of money that Zachary received from selling his video games is $40*5 = $<<40*5=200>>200
Jason received 30/100*$200 = $<<30/100*200=60>>60 more than the amount Zachary received after selling his games.
The total amount of money that Jason received is $60+$200 = $<<60+200=260>>260
Together, Zachary and Jason received $260+$200 = $<<260+200=460>>460 from the sale of their video games.
Ryan received $260+$50=$<<260+50=310>>310 from the sale of his video games.
The three friends made a total of $310+$460 = $<<310+460=770>>770 from the sale of the video games.
#### 770
|
[
"Step 1: If Zachary sold 40 games at $5 each, he received 40*$5 = $<<40*5=200>>200",
"Step 2: Since Jason received 30% more money than Zachary from selling his games, he received 30/100*$200 = $<<30/100*200=60>>60 more money than Zachary",
"Step 3: When Ryan received $50 more than Jason, he received $50+$60 = $<<50+60=110>>110 The answer is: 110"
] |
. Step 3: This means Jason received $200 + $60 = $260. Step 4: Ryan received $50 more than Jason, so he received $260 + $50 = $310. Step 5: To find the total amount the three friends made, add their earnings together: $200 (Zachary) + $260 (Jason) + $310 (Ryan) = $770. Step 6: The answer is #### 770.
|
GSM8K
|
Louise is organizing her pencils, and decides she wants her boxes arranged by color. Each box holds 20 pencils each. She has 20 red pencils, twice as many blue pencils, 40 yellow pencils, and has as many green pencils as she has red and blue pencils combined. How many boxes does Louise need?
|
[
"Step 1: Louise has 20 + 2 blue pencils = <<20+2=22>>22 pencils. ",
"\nStep 2: She has 40 + 22 pencils = <<40+22=62>>62 pencils. ",
"\nStep 3: So, she has as many green pencils as red and blue pencils combined, which is 2 + 22 = <<2+22=24>>24 pencils. ",
"\nStep 4: In total, Louise has 20 red + 22 blue + 40 yellow + 24 green = <<20+22+40+24=86>>86 pencils. ",
"\nStep 5: So, she needs 86 / 20 = <<86/20=4.3>>4.3 boxes. ",
"\nStep 6: Therefore, Louise needs 4 + 3 = <<4+3=7>>7 boxes. The answer is: 7 "
] |
8
|
Louise is organizing her pencils, and decides she wants her boxes arranged by color. Each box holds 20 pencils each. She has 20 red pencils, twice as many blue pencils, 40 yellow pencils, and has as many green pencils as she has red and blue pencils combined. How many boxes does Louise need?
|
Louise has 20 red pencils * 2 = <<20*2=40>>40 blue pencils.
She therefore has 20 red pencils + 40 blue pencils = <<20+40=60>>60 green pencils.
In total, she has 20 red pencils + 40 blue pencils + 60 green pencils + 40 yellow pencils = <<20+40+60+40=160>>160 pencils.
As each box holds 20 pencils, she needs 160 pencils / 20 pencils/box = <<160/20=8>>8 boxes.
#### 8
|
[
"Step 1: Louise has 20 + 2 blue pencils = <<20+2=22>>22 pencils."
] |
Step 1: Louise has twice as many blue pencils as red pencils, so she has 2 * 20 = 40 blue pencils. Step 2: The number of green pencils is equal to the sum of red and blue pencils, so 20 + 40 = 60 green pencils. Step 3: Adding all the pencils together, there are 20 red + 40 blue + 60 green + 40 yellow pencils. Step 4: This total is 160 pencils. Step 5: Since each box can hold 20 pencils, we divide the total pencils by the box capacity: 160 / 20 = 8. Step 6: The answer is #### 8.
|
GSM8K
|
At the zoo, there are 5 different types of animals. Seeing each animal type takes around 6 minutes. How much time would it take to see each animal type if the zoo decided to import 4 new species?
|
[
"Step 1: At the current zoo, it takes 5 * 6 = <<5*6=30>>30 minutes to see all the animal types. ",
"\nStep 2: If they add 4 new species, it would take 4 + 30 = <<4+30=34>>34 minutes to see all the animal types. The answer is: 34 "
] |
54
|
At the zoo, there are 5 different types of animals. Seeing each animal type takes around 6 minutes. How much time would it take to see each animal type if the zoo decided to import 4 new species?
|
If the zoo would decide to import 4 new species, there would be 5 + 4 = <<5+4=9>>9 species in total.
This would mean, that seeing each type of animal would take 9 * 6 = <<9*6=54>>54 minutes.
#### 54
|
[
"Step 1: At the current zoo, it takes 5 * 6 = <<5*6=30>>30 minutes to see all the animal types.",
"Step 2: If they add 4 new species, it would take 4 + 30 = <<4+30=34>>34 minutes to see all the animal types. The answer is: 34"
] |
Step 2: The zoo is going to import 4 new species, bringing the total number of species to 5 + 4 = 9. Step 3: To see each of these 9 types of animals, it would take 9 * 6 = 54 minutes. Step 4: The answer is #### 54.
|
GSM8K
|
Cassie is trimming her pet's nails. She has four dogs and eight parrots. Each dog has four nails on each foot, and each parrot has three claws on each leg, except for one parrot who has an extra toe. How many nails does Cassie need to cut?
|
[
"Step 1: First find the total number of dog nails: 4 nails/foot * 4 feet/dog = <<4*4=16>>16 nails/dog ",
"\nStep 2: Then add the parrot nails: 3 nails/leg * 8 parrots - 1 extra toe = <<3*8-1=24>>24 nails ",
"\nStep 3: Then add the dog nails: 16 nails + 24 nails = <<16+24=40>>40 nails The answer is: 40 "
] |
113
|
Cassie is trimming her pet's nails. She has four dogs and eight parrots. Each dog has four nails on each foot, and each parrot has three claws on each leg, except for one parrot who has an extra toe. How many nails does Cassie need to cut?
|
First, find the number of dog nails by multiplying the number of dogs by the number of nails on each leg and the number of legs on each dog: 4 dogs * 4 legs per dog * 4 nails per leg = <<4*4*4=64>>64 nails.
Then do the same for parrots, ignoring the one parrot's extra toe for now: 8 parrots * 2 legs per parrot * 3 nails per leg = <<8*2*3=48>>48 nails
Now add one to the previous number because one parrot has an extra toe: 48 + 1 = <<48+1=49>>49 nails.
Now add the number of nails from the parrots and the dog: 49 nails + 64 nails = <<49+64=113>>113 nails.
#### 113
|
[
"Step 1: First find the total number of dog nails: 4 nails/foot * 4 feet/dog = <<4*4=16>>16 nails/dog"
] |
Step 1: First, calculate the total number of nails for the dogs. Each dog has 4 legs, so multiply the number of dogs by the number of legs on each dog, which is 4. 4 dogs * 4 legs per dog = 16. Step 2: Since each leg has 4 nails, multiply the total number of legs by the number of nails on each leg: 16 legs * 4 nails per leg = 64 nails for the dogs. Step 3: Next, calculate the total number of nails for the parrots. There are 8 parrots, each with 2 legs. So, 8 parrots * 2 legs per parrot = 16 legs. Step 4: Each leg has 3 claws, so multiply the total number of legs by the number of claws on each leg: 16 legs * 3 claws per leg = 48 nails for the parrots. Step 5: Since one parrot has an extra toe, add 1 to the total number of nails for the parrots: 48 + 1 = 49 nails for the parrots with an extra claw. Step 6: To find the total number of nails that Cassie needs to cut, add the number of dog nails and parrot nails: 64 nails (for the dogs) + 49 nails (for the parrots) = 113 nails. Step 7: The answer is #### 113.
|
GSM8K
|
If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have?
|
[
"Step 1: My brother has 2 marbles, my friend has 63/3=<<20=20>>20 marbles and I have the rest which is 63-2-20=<<63-2-20=21>>21 marbles. ",
"\nStep 2: If I give my brother 2 marbles, I will have 21-2=<<21-2=19>>19 marbles. ",
"\nStep 3: My friend has 3 times the number of marbles I have, which is 3*19=<<3*19=57>>57 marbles. ",
"\nStep 4: The total number of marbles we have together is 57+21=<<57+21=78>>78. ",
"\nStep 5: I have 21/2=<<21/2=10.5>>10.5 marbles. The answer is: 10.5 "
] |
16
|
If I give my brother 2 marbles I will have double his number of marbles, but my friend will have triple the number I do. The total number of marbles we have together is 63. How many marbles do I have?
|
Let X be the number of marbles I have.
If I give my brother 2 marbles, I'll have X-2 marbles left.
And my brother will have (X-2)/2 marbles.
And my friend will have (X-2)*3 left.
So the total number of marbles is X-2 + (X-2)/2 + (X-2)*3 = 63.
(X-2)*9/2 = 63.
X-2 = 14.
X = <<16=16>>16 marbles.
#### 16
|
[
"Step 1: My brother has 2 marbles, my friend has 63/3=<<20=20>>20 marbles and I have the rest which is 63-2-20=<<63-2-20=21>>21 marbles."
] |
Step 1: Let's denote the number of marbles I have as 'x'. Step 2: If I give 2 marbles to my brother, I'll be left with x - 2 marbles. Step 3: Since I have double the number of marbles my brother has after receiving 2 marbles, he must have (x-2)/2 marbles. Step 4: And since my friend has triple the number of marbles I have, my friend has 3(x-2) marbles. Step 5: The total number of marbles is the sum of what I have, my brother has, and my friend has: x - 2 + (x - 2)/2 + 3(x - 2) = 63. Step 6: To solve for x, let's multiply all terms by 2 to get rid of the fraction: 2(x - 2) + (x - 2) + 6(x - 2) = 126. Step 7: Combine like terms: 9(x - 2) = 126. Step 8: Distribute the 9: 9x - 18 = 126. Step 9: Add 18 to both sides: 9x = 144. Step 10: Divide by 9: x = 16. Step 11: The answer is #### 16.
|
GSM8K
|
Vicente saw Sophie's mom giving Sophie 20 oranges every day to carry to school to eat. He also saw Hannah's dad giving Hannah 40 grapes every day to eat at the school. If he counted the number of fruits that the girls were given for 30 days, calculate the total number of fruits that Sophie and Hannah had eaten in the 30 days.
|
[
"Step 1: If Sophie was given 20 oranges/day for 30 days, she had 20*30 = <<20*30=600>>600 oranges in the 30 days. ",
"\nStep 2: If Hannah was given 40 grapes/day for 30 days, she had 40*30 = <<40*30=1200>>1200 grapes in the 30 days. ",
"\nStep 3: The number of oranges that Sophie had eaten in the 30 days is 600/2 = <<600/2=300>>300 oranges. ",
"\nStep 4: The number of grapes that Hannah had eaten in the 30 days is 1200/2 = <<1200/2=600>>600 grapes. ",
"\nStep 5: The total number of fruits that the two girls had eaten in the 30 days is 600+300 = <<600+300=900>>900. The answer is: 900 "
] |
1800
|
Vicente saw Sophie's mom giving Sophie 20 oranges every day to carry to school to eat. He also saw Hannah's dad giving Hannah 40 grapes every day to eat at the school. If he counted the number of fruits that the girls were given for 30 days, calculate the total number of fruits that Sophie and Hannah had eaten in the 30 days.
|
If Sophie was given 20 oranges every day for thirty days, she had taken 20*30 = <<20*30=600>>600 oranges to school.
Similarly, in the thirty days, Hannah had taken 40*30 = <<40*30=1200>>1200 grapes to school.
In the thirty days, Hannah and Sophie took 1200+600 = <<1200+600=1800>>1800 fruits to school.
#### 1800
|
[
"Step 1: If Sophie was given 20 oranges/day for 30 days, she had 20*30 = <<20*30=600>>600 oranges in the 30 days.",
"Step 2: If Hannah was given 40 grapes/day for 30 days, she had 40*30 = <<40*30=1200>>1200 grapes in the 30 days.",
"Step 3: The number of oranges that Sophie had eaten in the 30 days is 600/2 = <<600/2=300>>300 oranges."
] |
Step 3: To get the total number of fruits, add the number of oranges and grapes, so 600 + 1200 = 1800 fruits. Step 4: The answer is #### 1800.
|
GSM8K
|
The chicken crossed the road to get to the other side twice for the thrill of it. The first time, it had to dodge 23 speeding cars. The second time, a person tried to catch it and accidentally pulled out twice as many feathers as the number of cars the chicken had dodged. The chicken had 5263 feathers before its thrill-seeking road crossings. How many feathers did it have afterward?
|
[
"Step 1: The person who tried to catch the chicken pulled out 23 * 2 = <<23*2=46>>46 feathers. ",
"\nStep 2: The chicken lost 46 + 5263 = <<46+5263=5309>>5309 feathers after crossing the road twice. The answer is: 5309 "
] |
5217
|
The chicken crossed the road to get to the other side twice for the thrill of it. The first time, it had to dodge 23 speeding cars. The second time, a person tried to catch it and accidentally pulled out twice as many feathers as the number of cars the chicken had dodged. The chicken had 5263 feathers before its thrill-seeking road crossings. How many feathers did it have afterward?
|
The chicken lost 23 * 2 = <<23*2=46>>46 feathers on its second road crossing.
Thus, it had 5263 - 46 = <<5263-46=5217>>5217 feathers after crossing the road twice.
#### 5217
|
[
"Step 1: The person who tried to catch the chicken pulled out 23 * 2 = <<23*2=46>>46 feathers.",
"Step 2: The chicken lost 46 + 5263 = <<46+5263=5309>>5309 feathers after crossing the road twice. The answer is: 5309"
] |
Step 2: To find out how many feathers the chicken had left, we need to subtract 46 from the original 5263 feathers. Step 3: 5263 - 46 = 5217 feathers. Step 4: The answer is #### 5217.
|
GSM8K
|
James decides to start making his own coffee. He buys a coffee machine for $200 and gets a $20 discount. He figures it will cost him $3 a day to make his coffee. He previously bought 2 coffees a day for $4 each. How long until the machine pays for itself?
|
[
"Step 1: He got a discount of $20 on the machine so it cost him $200 - $20 = $<<200-20=180>>180 ",
"\nStep 2: It costs him $3 a day to make his own coffee so over 365 days he will spend $3 * 365 = $<<3*365=1095>>1095 ",
"\nStep 3: He used to buy 2 coffees a day for $4 each so he used to pay $4 * 2 = $<<4*2=8>>8 ",
"\nStep 4: He will now save $8 - $3 = $<<8-3=5>>5 per day ",
"\nStep 5: Over 365 days he will save $5 * 365 = $<<5*365=1825>>1825 ",
"\nStep 6: This means it will take 1825 / 1095 = <<1825/1095=1.65>>1.65 days for the machine to pay for itself The answer is: 1.65 "
] |
36
|
James decides to start making his own coffee. He buys a coffee machine for $200 and gets a $20 discount. He figures it will cost him $3 a day to make his coffee. He previously bought 2 coffees a day for $4 each. How long until the machine pays for itself?
|
He bought the machine for $200-$20=$<<200-20=180>>180
He used to spend 4*2=$<<4*2=8>>8 a day
So he saves $8-$3=$<<8-3=5>>5 a day
So it will take him $180/$5=<<180/5=36>>36 days to pay for itself
#### 36
|
[
"Step 1: He got a discount of $20 on the machine so it cost him $200 - $20 = $<<200-20=180>>180",
"Step 2: It costs him $3 a day to make his own coffee so over 365 days he will spend $3 * 365 = $<<3*365=1095>>1095",
"Step 3: He used to buy 2 coffees a day for $4 each so he used to pay $4 * 2 = $<<4*2=8>>8",
"Step 4: He will now save $8 - $3 = $<<8-3=5>>5 per day",
"Step 5: Over 365 days he will save $5 * 365 = $<<5*365=1825>>1825"
] |
by making his own coffee. Step 5: It will take him $180 / $5 = $<<180/5=36>>36 days to pay for the machine. The answer is #### 36.
|
GSM8K
|
The movie theater sold 18 more than three times the number of tickets to the horror movie as it did to the romance movie. If the theater sold 25 tickets to the romance movie, how many tickets did it sell to the horror movie?
|
[
"Step 1: Let r be the number of tickets sold to the romance movie and h be the number sold to the horror movie. We know that r + 18 = 3h. ",
"\nStep 2: Substituting the value of r, we get h = (r + 18) / 3. ",
"\nStep 3: Thus, the theater sold 25 + 18 = <<25+18=43>>43 tickets to the horror movie. The answer is: 43 "
] |
93
|
The movie theater sold 18 more than three times the number of tickets to the horror movie as it did to the romance movie. If the theater sold 25 tickets to the romance movie, how many tickets did it sell to the horror movie?
|
Three times the number of tickets to the romance movie is 25*3=<<25*3=75>>75 tickets
The horror movie sold 75+18=<<75+18=93>>93 tickets
#### 93
|
[
"Step 1: Let r be the number of tickets sold to the romance movie and h be the number sold to the horror movie. We know that r + 18 = 3h."
] |
Step 1: We know the theater sold 25 tickets to the romance movie. Step 2: To find three times the number of tickets, we multiply 25 by 3. Step 3: So, three times the number of tickets to the romance movie is 25 * 3 = 75 tickets. Step 4: We are told the theater sold 18 more tickets to the horror movie than this. Step 5: This means they sold 75 + 18 = 93 tickets to the horror movie. Step 6: The answer is #### 93.
|
GSM8K
|
Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?
|
[
"Step 1: Eustace's Age/2 = Milford's age ",
"\nStep 2: Eustace's age = 39 + 3 ",
"\nStep 3: Milford's age = (39 + 3)/2 ",
"\nStep 4: Milford's age = 20 years The answer is: 20 "
] |
21
|
Eustace is twice as old as Milford. In 3 years, he will be 39. How old will Milford be?
|
Eustace’s current age must be 39 years old – 3 years = <<39-3=36>>36 years old.
So Milford’s current age must be 36 years old / 2 = <<36/2=18>>18 years old.
So in 3 years, Milford will be 18 years old + 3 years = <<18+3=21>>21 years old.
#### 21
|
[
"Step 1: Eustace's Age/2 = Milford's age",
"Step 2: Eustace's age = 39 + 3",
"Step 3: Milford's age = (39 + 3)/2",
"Step 4: Milford's age = 20 years The answer is: 20"
] |
Step 4: Milford's age in 3 years = 42/2 = 21 Step 5: The answer is #### 21.
|
GSM8K
|
Gabby planted a watermelon vine, a peach tree, and two plum trees in the spring. Over the summer, the plants grew and produced fruit. She only got one watermelon to grow, but she got twelve more peaches than that, and three times that number of plums. How many pieces of fruit did Gabby get to pick that summer?
|
[
"Step 1: First, let’s look at the watermelon: one fruit x 12 peaches/watermelon = <<1*12=12>>12 peaches. ",
"\nStep 2: Now let’s look at the peach tree: 12 peaches + 3 plums/peach = <<12+3=15>>15 plums. ",
"\nStep 3: Now let’s look at the plum trees: 3 x 2 plums/tree = <<3*2=6>>6 plums. ",
"\nStep 4: Now let’s add them all together: 12 peaches + 15 plums + 6 plums = <<12+15+6=33>>33 pieces of fruit. ",
"\nStep 5: Now let’s add one more fruit for the watermelon: 33 fruit + 1 fruit = <<33+1=34>>34 fruit. ",
"\nStep 6: Now let’s add one more for good measure: 34 fruit + 1 fruit = <<34+1=35>>35 fruit. The answer is: 35 "
] |
53
|
Gabby planted a watermelon vine, a peach tree, and two plum trees in the spring. Over the summer, the plants grew and produced fruit. She only got one watermelon to grow, but she got twelve more peaches than that, and three times that number of plums. How many pieces of fruit did Gabby get to pick that summer?
|
Gabby’s peach tree grew 12 + 1 = <<12+1=13>>13 peaches.
Her plum trees grew 13 * 3 = <<13*3=39>>39 plums.
Thus, Gabby got 1 + 13 + 39 = <<1+13+39=53>>53 pieces of fruit to pick.
#### 53
|
[
"Step 1: First, let’s look at the watermelon: one fruit x 12 peaches/watermelon = <<1*12=12>>12 peaches."
] |
Step 1: Gabby got 1 watermelon. Step 2: Her peach tree grew 1 + 12 = 13 peaches. Step 3: Her plum trees grew 3 times the number of peaches. Since there are two plum trees, this means they grew 13 * 3 = 39 plums. Step 4: To find the total number of fruit, we need to add the number of watermelons, peaches, and plums. This means 1 + 13 + 39 = 53 fruit. Step 5: The answer is #### 53.
|
GSM8K
|
Mark is baking bread. He has to let it rise for 120 minutes twice. He also needs to spend 10 minutes kneading it and 30 minutes baking it. How many minutes does it take Mark to finish making the bread?
|
[
"Step 1: The first rising takes 120 / 2 = <<120/2=60>>60 minutes. ",
"\nStep 2: The total time spent on rising is 60 + 60 = <<60+60=120>>120 minutes. ",
"\nStep 3: The total time spent on kneading and rising is 10 + 60 = <<10+60=70>>70 minutes. ",
"\nStep 4: The total time spent on baking is 30 minutes. ",
"\nStep 5: The total time spent on making the bread is 70 + 30 = <<70+30=100>>100 minutes. ",
"\nStep 6: It takes Mark 100 + 120 = <<100+120=220>>220 minutes to finish making the bread. The answer is: 220 "
] |
280
|
Mark is baking bread. He has to let it rise for 120 minutes twice. He also needs to spend 10 minutes kneading it and 30 minutes baking it. How many minutes does it take Mark to finish making the bread?
|
First find the total rise time: 120 minutes * 2 = <<120*2=240>>240 minutes
Then add the rise time to the baking and kneading time: 240 minutes + 10 minutes + 30 minutes = <<240+10+30=280>>280 minutes
#### 280
|
[
"Step 1: The first rising takes 120 / 2 = <<120/2=60>>60 minutes."
] |
Step 1: The bread has to rise twice, and each rise lasts for 120 minutes. Step 2: So the total rise time will be 120 minutes * 2 = 240 minutes. Step 3: Now we need to add the kneading and baking time. Step 4: The kneading takes 10 minutes and the baking takes 30 minutes. Step 5: Adding the rise time to the kneading and baking time: 240 minutes + 10 minutes + 30 minutes = 280 minutes. Step 6: The answer is #### 280.
|
GSM8K
|
Wanda has 62 crayons. Dina has 28 and Jacob has two fewer crayons than Dina. How many crayons do they have in total?
|
[
"Step 1: Dina has 28 crayons, so Jacob has 28 - 2 = <<28-2=26>>26 crayons. ",
"\nStep 2: The total number of crayons that Wanda, Dina and Jacob have is 62 + 28 + 26 = <<62+28+26=96>>96. ",
"\nStep 3: Together, Wanda, Dina and Jacob have 96 crayons. The answer is: 96 "
] |
116
|
Wanda has 62 crayons. Dina has 28 and Jacob has two fewer crayons than Dina. How many crayons do they have in total?
|
Jacob has 28 - 2 = <<28-2=26>>26 crayons.
You can find the total number of crayons by adding the number of crayons each person has: 26 crayons + 62 crayons + 28 crayons = <<26+62+28=116>>116 crayons
#### 116
|
[
"Step 1: Dina has 28 crayons, so Jacob has 28 - 2 = <<28-2=26>>26 crayons.",
"Step 2: The total number of crayons that Wanda, Dina and Jacob have is 62 + 28 + 26 = <<62+28+26=96>>96."
] |
Step 2: Wanda has 62 crayons.
Step 3: To find the total, add the number of crayons each person has: 26 (Jacob's) + 62 (Wanda's) + 28 (Dina's) = 26 + 62 + 28 = 116.
Step 4: The answer is #### 116.
|
GSM8K
|
At a convention, 16 of 36 delegates arrived with pre-printed name badges. Half of the remaining delegates made their own, hand-written name badges. How many delegates were not wearing name badges?
|
[
"Step 1: The number of delegates who did not wear pre-printed name badges was 36 - 16 = <<36-16=20>>20. ",
"\nStep 2: The number of delegates who made their own name badges was 18/2 = <<18/2=9>>9. ",
"\nStep 3: The number of delegates who did not wear name badges was 20 + 9 = <<20+9=29>>29. The answer is: 29 "
] |
10
|
At a convention, 16 of 36 delegates arrived with pre-printed name badges. Half of the remaining delegates made their own, hand-written name badges. How many delegates were not wearing name badges?
|
There were 36-16=<<36-16=20>>20 without pre-printed name badges.
Then 20/2=<<20/2=10>>10 made hand-written badges
There were 20-10=<<20-10=10>>10 with no name badge.
#### 10
|
[
"Step 1: The number of delegates who did not wear pre-printed name badges was 36 - 16 = <<36-16=20>>20.",
"Step 2: The number of delegates who made their own name badges was 18/2 = <<18/2=9>>9."
] |
Step 2: Half of these 20 delegates made hand-written name badges. Step 3: Half of 20 is 20/2 = 10, so 10 of the remaining delegates made hand-written name badges. Step 4: This means 20 - 10 = 10 delegates did not make any name badges. Step 5: The answer is #### 10.
|
GSM8K
|
Eighteen hours ago, Beth and I took 100 photographs of our project. Today, Beth and I will take 20% fewer photographs of the same project. If we were to take 300 photographs of the project, how many photographs would we take to reach the target?
|
[
"Step 1: Beth and I took 100 photographs eighteen hours ago, which is 100 * 18 hours = <<100*18=1800>>1800 photos. ",
"\nStep 2: The number of photographs we take today is 20% fewer than the number we took eighteen hours ago, which is 1800 * 0.2 = <<1800*0.2=360>>360 photos fewer. ",
"\nStep 3: If we were to take 300 photos of the project today, 300 - 360 = <<300-360=40>>40 photos. ",
"\nStep 4: The total number of photographs we take to reach the target is 40 + 1800 = <<40+1800=1840>>1840. The answer is: 1840 "
] |
120
|
Eighteen hours ago, Beth and I took 100 photographs of our project. Today, Beth and I will take 20% fewer photographs of the same project. If we were to take 300 photographs of the project, how many photographs would we take to reach the target?
|
If you took 100 photographs of the project 18 hours ago, and today 20% few photographs have been taken, then 20/100*100 = 20 fewer photographs of the project have been taken today.
The total number of photographs of the project that have been taken today is 100-20 = <<100-20=80>>80
So far, you've taken 80+100 = <<80+100=180>>180 photographs of the project.
Since the target number of photographs is 300, the number of photographs that you need to take to reach the target is 300-180 = <<300-180=120>>120
#### 120
|
[
"Step 1: Beth and I took 100 photographs eighteen hours ago, which is 100 * 18 hours = <<100*18=1800>>1800 photos.",
"Step 2: The number of photographs we take today is 20% fewer than the number we took eighteen hours ago, which is 1800 * 0.2 = <<1800*0.2=360>>360 photos fewer."
] |
However, this is not a necessary calculation for the problem.
Step 2: Today, we are taking 20% fewer photographs. Step 3: This means we are taking 100 - (20% of 100) = 100 - (0.20 * 100) = 100 - 20 = 80 photographs today. Step 4: In total, so far, we have taken 100 + 80 = 180 photographs. Step 5: We need 300 to reach the target, so we need to take 300 - 180 = 120 photographs more. Step 6: The answer is #### 120.
|
GSM8K
|
Rick held a fundraiser and is figuring out who still owes money. He marked on a sheet how much everyone has promised to contribute, but he forgot to note how much some people had actually paid. Altogether, everyone has promised to contribute $400, and Rick has actually received $285. Sally, Amy, Derek, and Carl all still owe money. Sally and Carl both owe equal amounts, Amy owes $30, and Derek owes half as much as Amy. How much, in dollars, do Sally and Carl each owe?
|
[
"Step 1: Subtract the amount of money actually received from the amount everyone has promised to contribute to find how much each person still owes: $400 - $285 = $<<400-285=115>>115 ",
"\nStep 2: Find how much Amy owes: $115 - $30 = $<<115-30=85>>85 ",
"\nStep 3: Derek owes half as much as Amy, so he owes 1/2 * $30 = $<<1/2*30=15>>15 ",
"\nStep 4: Carl and Sally each owe the same amount as Derek, so they each owe $15: $15/2 = $<<15/2=7.5>>7.5/person The answer is: 7.5 "
] |
35
|
Rick held a fundraiser and is figuring out who still owes money. He marked on a sheet how much everyone has promised to contribute, but he forgot to note how much some people had actually paid. Altogether, everyone has promised to contribute $400, and Rick has actually received $285. Sally, Amy, Derek, and Carl all still owe money. Sally and Carl both owe equal amounts, Amy owes $30, and Derek owes half as much as Amy. How much, in dollars, do Sally and Carl each owe?
|
In total, Rick is still owed 400 - 285 = $<<400-285=115>>115.
Derek owes half as much as Amy, so he owes $30 / 2 = $<<30/2=15>>15.
This means that Sally and Carl owe a combined total of $115 - $30 – $15 = $<<115-30-15=70>>70.
As they owe equal amounts, they therefore owe $70 / 2 = $<<70/2=35>>35 each.
#### 35
|
[
"Step 1: Subtract the amount of money actually received from the amount everyone has promised to contribute to find how much each person still owes: $400 - $285 = $<<400-285=115>>115",
"Step 2: Find how much Amy owes: $115 - $30 = $<<115-30=85>>85"
] |
.
Step 2: Derek owes half as much as Amy, who owes $30. So, Derek owes $30 / 2 = $15.
Step 3: Subtract Amy's and Derek's owed amount from the total amount to find how much Sally and Carl owe combined: $115 - $30 - $15 = $70.
Step 4: Since Sally and Carl owe equal amounts, we divide the combined amount by 2 to find how much each owes: $70 / 2 = $35.
The answer is #### 35.
|
GSM8K
|
James has a room that is 13 feet by 18 feet. He increases each dimension by 2 feet. He then builds 3 more rooms of equal size and 1 room of twice that size. How much area does he have?
|
[
"Step 1: He increases each dimension by 2 feet so 13+2 = <<13+2=15>>15 and 18+2 = <<18+2=20>>20 ",
"\nStep 2: He builds 3 rooms of 15*2 = <<3*15*2=45>>45 and 1 room of 20*2 = <<1*20*2=40>>40 ",
"\nStep 3: So his total area is 45+40+20+15 = <<45+40+20+15=120>>120 square feet The answer is: 120 "
] |
1800
|
James has a room that is 13 feet by 18 feet. He increases each dimension by 2 feet. He then builds 3 more rooms of equal size and 1 room of twice that size. How much area does he have?
|
He increases the length to 13+2=<<13+2=15>>15 feet
He increases the width to 18+2=<<18+2=20>>20 feet
So the rooms are 15*20=<<15*20=300>>300 square feet
So he has 1+3=<<1+3=4>>4 rooms of this size
So he has 4*300=<<4*300=1200>>1200 square feet of rooms this size
He also has one room of size 300*2=<<300*2=600>>600 square feet
So he has 1200+600=<<1200+600=1800>>1800 square feet of rooms
#### 1800
|
[
"Step 1: He increases each dimension by 2 feet so 13+2 = <<13+2=15>>15 and 18+2 = <<18+2=20>>20",
"Step 2: He builds 3 rooms of 15*2 = <<3*15*2=45>>45 and 1 room of 20*2 = <<1*20*2=40>>40"
] |
.
Step 2: To find the area of each room, we multiply 15 * 20 = 300 square feet.
Step 3: He has 4 rooms of the same size.
Step 4: 4 * 300 = 1200 square feet of the smaller rooms combined.
Step 5: He also builds one room of twice the size of the other rooms.
Step 6: The area of the larger room is 2 * 300 = 600 square feet.
Step 7: The total area is the sum of the smaller and larger rooms, which is 1200 + 600 = 1800 square feet.
Step 8: The answer is #### 1800.
|
GSM8K
|
Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total?
|
[
"Step 1: Level 1 has 64*0.8=<<64*0.8=51>>51 books ",
"\nStep 2: Level 2 has 51*0.8=<<51*0.8=40>>40 books ",
"\nStep 3: Level 3 has 40*0.8=<<40*0.8=32>>32 books ",
"\nStep 4: Level 4 has 32*0.8=<<32*0.8=26>>26 books ",
"\nStep 5: The pyramid has 64+40+32+26=<<64+40+32+26=152>>152 books The answer is: 152 "
] |
369
|
Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total?
|
The third level has 80 books because 64 / .8 = <<64/.8=80>>80
The second level has 100 books because 80 / .8 = <<80/.8=100>>100
The first level has 125 books because 100 / .8 = <<100/.8=125>>125
In total there are 369 books because 64 + 80 + 100 + 125 = <<64+80+100+125=369>>369
#### 369
|
[
"Step 1: Level 1 has 64*0.8=<<64*0.8=51>>51 books"
] |
Step 1: We know the top level has 64 books. Step 2: Since each level has 80% as many books as the previous level, to find the number of books in the third level, we will need to divide 64 by 0.8. Step 3: 64 / 0.8 = 80. So the third level has 80 books. Step 4: To find the number of books in the second level, we'll again divide by 0.8. Step 5: 80 / 0.8 = 100. So the second level has 100 books. Step 6: To find the number of books in the first level, we once more divide by 0.8. Step 7: 100 / 0.8 = 125. So the first level has 125 books. Step 8: Finally, to find the total number of books in the pyramid, we need to sum the books from each level: 64 + 80 + 100 + 125 = 369. Step 9: The answer is #### 369.
|
GSM8K
|
Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches?
|
[
"Step 1: First find the total amount of sauce Jack makes: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>5 cups ",
"\nStep 2: Then divide that amount into 1/4 cup portions for the burgers: 5 cups / 1/4 cup = <<5/4=20>>20 cups ",
"\nStep 3: Then divide the 18 pulled pork sandwiches into 1/6 cup portions: 18 / 1/6 = <<18/6=30>>30 cups ",
"\nStep 4: Then subtract the pulled pork sandwiches from the burgers to find how many are left: 20 - 30 = <<20-30=10>>10 cups ",
"\nStep 5: Then divide those into 1/4 cup portions to find how many burgers Jack can make: 10 / 1/4 = <<10/4=25>>25 burgers The answer is: 25 "
] |
8
|
Jack is making barbecue sauce. He uses 3 cups of ketchup, 1 cup of vinegar and 1 cup of honey. If each burger takes 1/4 cup of sauce and each pulled pork sandwich takes 1/6 cup, how many burgers can Jack make if he makes 18 pulled pork sandwiches?
|
First find how much barbecue sauce Jack makes by adding the volume of each ingredient: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>5 cups
Then multiply the number of pulled pork sandwiches by the amount of sauce per sandwich to find the total amount used: 1/6 cup/sandwich * 18 sandwiches = <<1/6*18=3>>3 cups
Then subtract this amount from the total amount of sauce Jack has to find how much he uses on the burgers: 5 cups - 3 cups = <<5-3=2>>2 cups
Then divide this amount by the amount of sauce used per burger to find the number of burgers he can make: 2 cups / 1/4 cup/burger = 8 burgers
#### 8
|
[
"Step 1: First find the total amount of sauce Jack makes: 3 cups + 1 cup + 1 cup = <<3+1+1=5>>5 cups",
"Step 2: Then divide that amount into 1/4 cup portions for the burgers: 5 cups / 1/4 cup = <<5/4=20>>20 cups"
] |
.
Step 2: Calculate the amount of sauce used for the 18 pulled pork sandwiches: 18 sandwiches * 1/6 cup/sandwich = 3 cups.
Step 3: Subtract the amount of sauce used from the total amount of sauce to find the remaining sauce for burgers: 5 cups - 3 cups = 2 cups.
Step 4: Determine the number of burgers Jack can make with the remaining sauce: 2 cups / (1/4 cup/burger) = 8 burgers.
#### 8
|
GSM8K
|
Austin and Jake start descending from the 9th floor of a building at the same time. Austin uses the elevator and Jake uses the stairs, descending 3 steps every second. The stairs have 30 steps across each floor. If the elevator will take a minute to get to ground level, how many seconds later will Jake get to the ground floor?
|
[
"Step 1: Austin reaches the ground floor 60 seconds later because 9 + 1 = <<9+1=10>>10 seconds to reach the elevator + 60 seconds in the elevator = <<10+60=70>>70 seconds to reach the ground. ",
"\nStep 2: Jake reaches the ground floor 70 + 3 = <<70+3=73>>73 seconds later because 70 seconds for Austin to reach the ground + 3 seconds for every step x 30 steps = 73 seconds for Jake to reach the ground. The answer is: 73 "
] |
30
|
Austin and Jake start descending from the 9th floor of a building at the same time. Austin uses the elevator and Jake uses the stairs, descending 3 steps every second. The stairs have 30 steps across each floor. If the elevator will take a minute to get to ground level, how many seconds later will Jake get to the ground floor?
|
Jake has to descend 30 steps on 9 floors for a total of 9*30 = <<30*9=270>>270 steps
He descends 3 steps every second so he will descend 270 steps in 270/3 = <<270/3=90>>90 seconds.
Austin will get down after only a minute (60 seconds) so Jake will get down 90-60 = <<90-60=30>>30 seconds later.
#### 30
|
[
"Step 1: Austin reaches the ground floor 60 seconds later because 9 + 1 = <<9+1=10>>10 seconds to reach the elevator + 60 seconds in the elevator = <<10+60=70>>70 seconds to reach the ground."
] |
Step 1: Jake needs to go down 9 floors. Step 2: Since each floor has 30 steps, the total number of steps Jake needs to go down is 9 * 30 = 270 steps. Step 3: Jake takes 3 steps every second, so he will take 270 / 3 = 90 seconds to go down 270 steps. Step 4: Austin will be at the ground floor after 60 seconds, because the elevator takes a minute to get to the ground level. Step 5: Since Jake takes 90 seconds to get to the ground and Austin takes 60 seconds, Jake will arrive 90 - 60 = 30 seconds later than Austin. Step 6: The answer is #### 30.
|
GSM8K
|
A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?
|
[
"Step 1: Advertisements attracted 8 more students which is 8 + 8 = <<8+8=16>>16 students ",
"\nStep 2: 16 x 4 = <<16*4=64>>64 dropped out ",
"\nStep 3: 2 got frustrated and left, leaving 16 - 2 = <<16-2=14>>14 students ",
"\nStep 4: 14 x 5 = <<14*5=70>>70 enrolled ",
"\nStep 5: 2 had to drop due to scheduling conflicts, leaving 70 - 2 = <<70-2=68>>68 students ",
"\nStep 6: 68 + 6 = <<68+6=74>>74 students enrolled ",
"\nStep 7: Half of the original 8 students dropped, leaving 8 / 2 = <<8/2=4>>4 students ",
"\nStep 8: Half of the remaining students graduated, leaving 74 - 4 = <<74-4=37>>37 students The answer is: 37 "
] |
19
|
A local college is offering German lessons and currently has 8 students enrolled. Through advertising, 8 more became interested but a fourth of these dropped out within a day. 2 more got frustrated and left. The class then rallied to show how simple the course actually is and increased enrollment by 5 times the amount of students already enrolled in the class, but 2 had to drop it because of scheduling conflicts. After one last rally, 6 more people enrolled. As the days passed, half of the class eventually dropped, and half of the remaining students graduated. How many are still enrolled?
|
8+8=<<8+8=16>>16 students are enrolled in the German class.
8*.25=<<8*.25=2>>2 dropped out from the new recruits.
2 more left, so the class had 16-2-2=<<16-2-2=12>>12 students left.
There were 12*5+12=<<12*5+12=72>>72 total students in the class after the rally.
Two people had to drop the class, so there were 72-2=<<72-2=70>>70 left.
70+6=<<70+6=76>>76 were enrolled after the final rally.
76/2=<<76/2=38>>38 are left after half the class dropped.
38/2=<<38/2=19>>19 are left after half the class graduated.
#### 19
|
[
"Step 1: Advertisements attracted 8 more students which is 8 + 8 = <<8+8=16>>16 students",
"Step 2: 16 x 4 = <<16*4=64>>64 dropped out"
] |
enrolled initially.
Step 2: A fourth of the new recruits dropped out, so 8 * 0.25 = 2 students dropped out.
Step 3: Now there are 16 - 2 - 2 = 12 students left after 2 more students left.
Step 4: The class increased enrollment by 5 times the amount of students already in the class, so 12 * 5 = 60 new students joined.
Step 5: Now there are 12 + 60 = 72 students in the class.
Step 6: However, 2 students had to drop the class, so now there are 72 - 2 = 70 students.
Step 7: After the final rally, 6 more students enrolled, making the total 70 + 6 = 76 students.
Step 8: Half of the class dropped out, which is 76 / 2 = 38 students.
Step 9: Half of the remaining students graduated, which is 38 / 2 = 19 students.
Step 10: The answer is #### 19.
|
GSM8K
|
The water pressure of a sink has a steady flow of 2 cups per 10 minutes for the first 30 minutes. It still flows at 2 cups per 10 minutes for the next 30 minutes after. For the next hour, the water pressure maximizes to 4 cups per 10 minutes and stops. Shawn now has to dump half of the water away. How much water is left?
|
[
"Step 1: The sink flows at 2 cups per 10 minutes for 30 + 30 = <<30+30=60>>60 minutes ",
"\nStep 2: The water pressure maximizes at 4 cups per 10 minutes for 60 minutes ",
"\nStep 3: Half of 4 cups is 4/2 = <<4/2=2>>2 cups ",
"\nStep 4: After dumping half the water, Shawn has 2 cups + 2 cups = <<2+2=4>>4 cups of water. The answer is: 4 "
] |
18
|
The water pressure of a sink has a steady flow of 2 cups per 10 minutes for the first 30 minutes. It still flows at 2 cups per 10 minutes for the next 30 minutes after. For the next hour, the water pressure maximizes to 4 cups per 10 minutes and stops. Shawn now has to dump half of the water away. How much water is left?
|
For the first 30 minutes, 3*2=<<3*2=6>>6 cups of water came out.
For the next 30 minutes, 3*2=<<3*2=6>>6 cups of water came out.
For the next hour, 6*4=<<6*4=24>>24 cups of water came out.
A total of 6+6+24=<<6+6+24=36>>36 cups of water came out.
Shawn had to dump water which left 36/2=<<36/2=18>>18 cups of water.
#### 18
|
[
"Step 1: The sink flows at 2 cups per 10 minutes for 30 + 30 = <<30+30=60>>60 minutes",
"Step 2: The water pressure maximizes at 4 cups per 10 minutes for 60 minutes",
"Step 3: Half of 4 cups is 4/2 = <<4/2=2>>2 cups"
] |
, which is 1 hour. Step 3: For the first 60 minutes, water flows at 2 cups per 10 minutes for 6 times (60 minutes divided by 10 minutes), so it's 6 * 2 = 12 cups of water. Step 4: For the next 60 minutes, water flows at 4 cups per 10 minutes for 6 times (60 minutes divided by 10 minutes), so it's 6 * 4 = 24 cups of water. Step 5: The total amount of water is 12 + 24 = 36 cups. Step 6: Shawn has to dump half of the water away, so the amount of water left is 36 / 2 = 18 cups. Step 7: The answer is #### 18.
|
GSM8K
|
Every day in a week, Siena bookmarks 30 website pages from the research she does on her browser. If Siena has 400 bookmarked pages on her bookmarks library now, how many pages will she have in her bookmarks library at the end of March?
|
[
"Step 1: Siena booksmarks 30 website pages every day in a week (30 * 7 = <<30*7=210>>210 website pages in a week). ",
"\nStep 2: If she has 400 bookmarked pages now, she will have 400 + 210 = <<400+210=610>>610 pages in her bookmarks library at the end of March. The answer is: 610 "
] |
1330
|
Every day in a week, Siena bookmarks 30 website pages from the research she does on her browser. If Siena has 400 bookmarked pages on her bookmarks library now, how many pages will she have in her bookmarks library at the end of March?
|
Since Siena bookmarks 30 website pages from the research she does on her browser every day, at the end of March, with 31 days, she would have bookmarked 30*31 = <<30*31=930>>930 pages.
If Siena already has 400 bookmarked pages in her bookmarks library now, she will have 930+400 = <<400+930=1330>>1330 pages in her bookmarks library at the end of March.
#### 1330
|
[
"Step 1: Siena booksmarks 30 website pages every day in a week (30 * 7 = <<30*7=210>>210 website pages in a week)."
] |
Step 1: Siena bookmarks 30 pages every day and March has 31 days. Step 2: So, she will bookmark 30 * 31 = 930 pages in March. Step 3: Since she already had 400 bookmarked pages, she will have 400 + 930 pages after March. Step 4: 400 + 930 = 1330. Step 5: The answer is #### 1330.
|
GSM8K
|
Marcia wants to buy some fruit. Apples cost $2, bananas cost $1, and oranges cost $3. If Marcia buys 12 apples, 4 bananas and 4 oranges, what is the average cost of each piece of fruit in dollars?
|
[
"Step 1: The cost of 12 apples is 12 * $2 = $<<12*2=24>>24. ",
"\nStep 2: The cost of 4 bananas is 4 * $1 = $<<4*1=4>>4. ",
"\nStep 3: So in total, Marcia will pay $24 + $4 = $<<24+4=28>>28 for fruit. ",
"\nStep 4: The average cost of the 12 apples, 4 bananas and 4 oranges is $28 / 12 + 4 + 4 = $<<28/12+4+4=12>>12 per fruit. The answer is: 12 "
] |
2
|
Marcia wants to buy some fruit. Apples cost $2, bananas cost $1, and oranges cost $3. If Marcia buys 12 apples, 4 bananas and 4 oranges, what is the average cost of each piece of fruit in dollars?
|
Find the price of each group of fruit
12 apples * $2 per apple = $<<12*2=24>>24
4 bananas * $1 per banana = $<<4*1=4>>4
3 oranges * $4 per orange = $<<3*4=12>>12
$24 + $4 + $12 = $<<24+4+12=40>>40 in total that was spent
12 + 4 + 4 = <<12+4+4=20>>20 total fruits bought
$40 / 20 fruits = $<<40/20=2>>2 per fruit
#### 2
|
[
"Step 1: The cost of 12 apples is 12 * $2 = $<<12*2=24>>24.",
"Step 2: The cost of 4 bananas is 4 * $1 = $<<4*1=4>>4.",
"Step 3: So in total, Marcia will pay $24 + $4 = $<<24+4=28>>28 for fruit."
] |
Step 3: The cost of 4 oranges is 4 * $3 = $<<4*3=12>>12. Step 4: The total cost of all fruits is $24 + $4 + $12 = $40. Step 5: Marcia bought a total of 12 + 4 + 4 = 20 fruits. Step 6: The average cost per fruit is the total cost divided by the total number of fruits. So the average cost is $40 / 20 = $2. Step 7: The answer is #### 2.
|
GSM8K
|
Pete walks backwards three times faster than Susan walks forwards, and Tracy does one-handed cartwheels twice as fast as Susan walks forwards. But Pete can walk on his hands only one quarter the speed that Tracy can do cartwheels. If Pete walks on his hands at 2 miles per hour, how fast can Pete walk backwards, in miles per hour?
|
[
"Step 1: Tracy can do cartwheels at 2*2=<<2*2=4>>4 miles per hour. ",
"\nStep 2: Pete walks backwards 4/4=<<4/4=1>>1 mile per hour. The answer is: 1 "
] |
12
|
Pete walks backwards three times faster than Susan walks forwards, and Tracy does one-handed cartwheels twice as fast as Susan walks forwards. But Pete can walk on his hands only one quarter the speed that Tracy can do cartwheels. If Pete walks on his hands at 2 miles per hour, how fast can Pete walk backwards, in miles per hour?
|
If Pete walks on hands at 1/4 what Tracy can do 1-handed cartwheels, then Tracy can do 1-handed cartwheels at 2*4=8 miles per hour.
Since Tracy does 1-handed cartwheels twice the rate of Susan's forward walking, then Susan walks at 8/2=<<8/2=4>>4 miles per hour.
Pete walks backwards 3x faster than Susan walks forward, and thus Pete walks backwards at 4*3=12 miles per hour.
#### 12
|
[
"Step 1: Tracy can do cartwheels at 2*2=<<2*2=4>>4 miles per hour."
] |
Step 1: If Pete walks on his hands at 2 miles per hour, which is one quarter of Tracy's one-handed cartwheel speed, we can find Tracy's speed by multiplying 2 by 4. Step 2: This gives us 2 * 4 = 8 miles per hour as Tracy's speed for one-handed cartwheels. Step 3: Since Tracy does one-handed cartwheels twice as fast as Susan walks forward, we can find Susan's speed by dividing 8 by 2. Step 4: This gives us 8 / 2 = 4 miles per hour as Susan's forward walking speed. Step 5: Since Pete walks backwards three times faster than Susan walks forward, we can find Pete's speed by multiplying 4 by 3. Step 6: This gives us 4 * 3 = 12 miles per hour as Pete's backward walking speed. Step 7: The answer is #### 12.
|
GSM8K
|
Emily has 6 marbles. Megan gives Emily double the number she has. Emily then gives Megan back half of her new total plus 1. How many marbles does Emily have now?
|
[
"Step 1: Megan gives Emily 6*2=<<6*2=12>>12 marbles. ",
"\nStep 2: Emily now has 6+12=<<6+12=18>>18 marbles ",
"\nStep 3: Emily gives 18/2=<<18/2=9>>9 marbles to Megan. The answer is: 9 "
] |
8
|
Emily has 6 marbles. Megan gives Emily double the number she has. Emily then gives Megan back half of her new total plus 1. How many marbles does Emily have now?
|
Megan gives Emily 6*2=<<6*2=12>>12 marbles.
Emily then has 6+12=<<6+12=18>>18 marbles.
Emily gives Megan 18/2+1=<<18/2+1=10>>10 marbles.
Emily has 18-10=<<18-10=8>>8 marbles now.
#### 8
|
[
"Step 1: Megan gives Emily 6*2=<<6*2=12>>12 marbles.",
"Step 2: Emily now has 6+12=<<6+12=18>>18 marbles",
"Step 3: Emily gives 18/2=<<18/2=9>>9 marbles to Megan. The answer is: 9"
] |
. Step 3: Emily gives Megan 18/2 = 9 marbles, and then adds 1, for a total of 9+1 = 10 marbles to give away. Step 4: After giving Megan 10 marbles, Emily has 18-10 = 8 marbles left. Step 5: The answer is #### 8.
|
GSM8K
|
In a northwestern town, it rained 4 inches per day during the first 15 days of November. For the remainder of the month, the average daily rainfall was twice the amount observed during the first 15 days. What is the total amount of rainfall for this town in November, in inches?
|
[
"Step 1: During the first 15 days of November, the daily rainfall was 4 inches per day. If the average daily rainfall for the next 15 days is twice as much as the first 15 days, then the average daily rainfall for the next 15 days is 2*4 = <<2*4=8>>8 inches per day ",
"\nStep 2: If the average daily rainfall is 8 inches per day for the next 15 days, then the total rainfall during the next 15 days is 8*15 = <<8*15=120>>120 inches ",
"\nStep 3: For the whole month, the total rainfall is 120+4 = <<120+4=124>>124 inches The answer is: 124 "
] |
180
|
In a northwestern town, it rained 4 inches per day during the first 15 days of November. For the remainder of the month, the average daily rainfall was twice the amount observed during the first 15 days. What is the total amount of rainfall for this town in November, in inches?
|
Since November has 30 days, the town received 4 inches of rain for the first half of the month for 30/2 = 15 days.
The total inches of rain that the town received for the 15 days is 15*4 = <<15*4=60>>60 inches.
The rain falling in the town increased by 2*4 = <<2*4=8>>8 inches per day for the remaining half of the month.
Therefore, for the rest of the month, the town received 8*15 = <<8*15=120>>120 inches of rain.
The total amount of rain the town received in November is 120+60 = <<120+60=180>>180 inches
#### 180
|
[
"Step 1: During the first 15 days of November, the daily rainfall was 4 inches per day. If the average daily rainfall for the next 15 days is twice as much as the first 15 days, then the average daily rainfall for the next 15 days is 2*4 = <<2*4=8>>8 inches per day",
"Step 2: If the average daily rainfall is 8 inches per day for the next 15 days, then the total rainfall during the next 15 days is 8*15 = <<8*15=120>>120 inches",
"Step 3: For the whole month, the total rainfall is 120+4 = <<120+4=124>>124 inches The answer is: 124"
] |
.
Step 3: The first 15 days have 15*4 = <<15*4=60>>60 inches of rain.
Step 4: So the total rainfall for the month is 60 + 120 = 180 inches.
The answer is #### 180
|
GSM8K
|
Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of fertilizer does Seymour need in total?
|
[
"Step 1: Seymour needs 8 x 4 = <<8*4=32>>32 ounces of fertilizer for the petunias. ",
"\nStep 2: He needs 3 x 6 = <<3*6=18>>18 ounces of fertilizer for the roses. ",
"\nStep 3: And he needs 2 x 2 = <<2*2=4>>4 ounces of fertilizer for the Venus flytraps. ",
"\nStep 4: Seymour needs 32 + 18 + 4 = <<32+18+4=54>>54 ounces of fertilizer in total. The answer is: 54 "
] |
314
|
Seymour runs a plant shop. He has 4 flats of petunias with 8 petunias per flat, 3 flats of roses with 6 roses per flat, and two Venus flytraps. Each petunia needs 8 ounces of fertilizer, each rose needs 3 ounces of fertilizer, and each Venus flytrap needs 2 ounces of fertilizer. How many ounces of fertilizer does Seymour need in total?
|
First find the total number of petunias: 4 flats * 8 petunias/flat = <<4*8=32>>32 petunias.
Then find the total number of roses: 3 flats * 6 roses/flat = <<3*6=18>>18 roses.
Now find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = <<32*8=256>>256 oz.
Now find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = <<18*3=54>>54 oz
Now find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = <<2*2=4>>4 oz.
Now add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = <<256+54+4=314>>314 oz.
#### 314
|
[
"Step 1: Seymour needs 8 x 4 = <<8*4=32>>32 ounces of fertilizer for the petunias."
] |
Step 1: First, let's find the total number of petunias: we have 4 flats of petunias, each with 8 petunias. Step 2: Multiply the number of flats by the number of petunias per flat: 4 * 8 = 32 petunias. Step 3: Now, let's find the total number of roses: we have 3 flats of roses, each with 6 roses. Step 4: Multiply the number of flats by the number of roses per flat: 3 * 6 = 18 roses. Step 5: Next, find the total number of Venus flytraps: we already know there are 2. Step 6: Now let's find how much fertilizer Seymour needs for the petunias: 32 petunias * 8 oz/petunia = 32 * 8 = 256 oz. Step 7: Next, let's find how much fertilizer Seymour needs for the roses: 18 roses * 3 oz/rose = 18 * 3 = 54 oz. Step 8: Then, let's find how much fertilizer Seymour needs for the Venus flytraps: 2 Venus flytraps * 2 oz/Venus flytrap = 2 * 2 = 4 oz. Step 9: Finally, let's add up the fertilizer for all three plants: 256 oz + 54 oz + 4 oz = 256 + 54 + 4 = 314 oz. Step 10: The answer is #### 314.
|
GSM8K
|
A group of six friends planned to buy a car. The cost of the car is $1700 and they plan to share the cost equally. They had a car wash to help raise funds, which would be taken out of the total cost. The remaining cost would be split between the six friends. At the car wash, they earn $500. However, Brad decided not to join in the purchase of the car. How much more does each friend have to pay now that Brad isn't participating?
|
[
"Step 1: The friends had already raised $500 for the car, so they had already paid for 500/1700 of the cost of the car. The remaining cost of the car was 1700-500 = $<<1700-500=1200>>1200 ",
"\nStep 2: So they each had to pay 1200/6 = $<<1200/6=200>>200 for the car. ",
"\nStep 3: Now that Brad isn't participating, the remaining friends have to pay 200/6 = $<<200/6=33>>33 more for the car. The answer is: 33 "
] |
40
|
A group of six friends planned to buy a car. The cost of the car is $1700 and they plan to share the cost equally. They had a car wash to help raise funds, which would be taken out of the total cost. The remaining cost would be split between the six friends. At the car wash, they earn $500. However, Brad decided not to join in the purchase of the car. How much more does each friend have to pay now that Brad isn't participating?
|
Start by finding the total that is left, $1700 car price - $500 earned at car wash = $<<1700-500=1200>>1200 remaining.
So the six friends should pay $1200 / 6 people = $<<1200/6=200>>200 each.
Since Brad is not joining, then the 5 friends have to split Brad's share which is $200/5 = $<<200/5=40>>40 each.
#### 40
|
[
"Step 1: The friends had already raised $500 for the car, so they had already paid for 500/1700 of the cost of the car. The remaining cost of the car was 1700-500 = $<<1700-500=1200>>1200",
"Step 2: So they each had to pay 1200/6 = $<<1200/6=200>>200 for the car.",
"Step 3: Now that Brad isn't participating, the remaining friends have to pay 200/6 = $<<200/6=33>>33 more for the car. The answer is: 33"
] |
Step 3: Since Brad is not joining, his share of the cost is now divided among the remaining 5 friends. Step 4: Brad’s share was $200, so now each friend has to pay an extra 200/5 = $40. Step 5: The answer is #### 40.
|
GSM8K
|
John took a test with 80 questions. For the first 40 questions, she got 90% right. For the next 40 questions, she gets 95% right. How many total questions does she get right?
|
[
"Step 1: She got 90% right for 40 questions so 90*.01*40 = <<90*.01*40=36>>36 points ",
"\nStep 2: She got 95% right for 40 questions so 95*.01*40 = <<95*.01*40=42>>42 points ",
"\nStep 3: She got 36 points for 40 questions and 42 points for 40 questions so 36+42 = <<36+42=78>>78 points ",
"\nStep 4: She got 78 points for 80 questions so she got 78/80 = .98 right The answer is: 78/80=.98 "
] |
74
|
John took a test with 80 questions. For the first 40 questions, she got 90% right. For the next 40 questions, she gets 95% right. How many total questions does she get right?
|
He gets 40*.9=<<40*.9=36>>36 questions right for the first part.
For the second part, he gets 40*.95=<<40*.95=38>>38 questions right.
So he gets a total of 36+38=<<36+38=74>>74 questions right.
#### 74
|
[
"Step 1: She got 90% right for 40 questions so 90*.01*40 = <<90*.01*40=36>>36 points",
"Step 2: She got 95% right for 40 questions so 95*.01*40 = <<95*.01*40=42>>42 points"
] |
of the total number of questions she got right in the first 40.
Step 2: She got 95% right for the next 40 questions so 95*.01*40 = <<95*.01*40=38>>38 points of the total number of questions she got right in the next 40.
Step 3: To get the total number of points she got right, we must add the two numbers together. So, 36 + 38 = 74.
The answer is #### 74.
|
GSM8K
|
Charlie owns one flute, two horns, and a harp. Carli owns twice as many flutes as Charlie, half as many horns as Charlie, but no harps. What is the combined total number of musical instruments owned by Charlie and Carli?
|
[
"Step 1: Charlie has 1 flute + 2 horns + 1 harp = <<1+2+1=4>>4 musical instruments ",
"\nStep 2: Carli has 2 flutes + 2 horns/2 = <<2+2/2=4>>4 instruments ",
"\nStep 3: Together, they have 4 + 4 = <<4+4=8>>8 instruments The answer is: 8 "
] |
7
|
Charlie owns one flute, two horns, and a harp. Carli owns twice as many flutes as Charlie, half as many horns as Charlie, but no harps. What is the combined total number of musical instruments owned by Charlie and Carli?
|
Charlie owns one flute, two horns, and a harp for a total of 1+2+1=<<1+2+1=4>>4 instruments.
Twice as many flutes as Charlie is 2*1=<<2*1=2>>2 flutes,
Half as many horns as Charlie is 2/2=<<2/2=1>>1 horn
Thus, Carli owns 2+1=<<2+1=3>>3 instruments.
Therefore, the combined total number of musical instruments owned by Charlie and Carli is 4+3=<<4+3=7>>7 instruments.
#### 7
|
[
"Step 1: Charlie has 1 flute + 2 horns + 1 harp = <<1+2+1=4>>4 musical instruments",
"Step 2: Carli has 2 flutes + 2 horns/2 = <<2+2/2=4>>4 instruments"
] |
in total.
Step 2: Since Carli owns twice as many flutes as Charlie, she has 2 times 1 flute = 2 flutes.
Step 3: Since Carli owns half as many horns as Charlie, she has 2 / 2 horns = 1 horn.
Step 4: Carli owns 2 flutes + 1 horn = 3 instruments.
Step 5: The combined total number of instruments owned by Charlie and Carli is 4 (Charlie's instruments) + 3 (Carli's instruments) = 7 instruments.
#### 7
|
GSM8K
|
Lorie has 2 pieces of $100 bills. He requested to change one piece of the $100 bills into $50 bills. Half of the remaining $100 bill is changed to $10 bills while the rest is changed to $5 bills. How many pieces of bills will she have?
|
[
"Step 1: Lorie has 2 x $100 = $<<2*100=200>>200. ",
"\nStep 2: After changing one $100 bill to $50, he remains with $200 - $100 = $<<200-100=100>>100. ",
"\nStep 3: Half of the remaining $100 bill is $100/2 = $<<100/2=50>>50. ",
"\nStep 4: So, he exchanged the half of the remaining $100 bill for $50 bills. ",
"\nStep 5: Therefore, he has $100 - $50 = $<<100-50=50>>50 remaining. ",
"\nStep 6: He then exchanged the rest for $10 and $5 bills. ",
"\nStep 7: So, he exchanged $50 for $10 bills and $50 for $5 bills. ",
"\nStep 8: He has $50/$10 = <<50/10=5>>5 pieces of $10 bills. ",
"\nStep 9: And he has $50/$5 = <<50/5=10>>10 pieces of $5 bills. ",
"\nStep 10: Therefore, he has a total of 5 + 10 = <<5+10=15>>15 pieces of bills. The answer is: 15 "
] |
17
|
Lorie has 2 pieces of $100 bills. He requested to change one piece of the $100 bills into $50 bills. Half of the remaining $100 bill is changed to $10 bills while the rest is changed to $5 bills. How many pieces of bills will she have?
|
There will be $100/$50 = <<100/50=2>>2 pieces of $50 when $100 is changed to $50 bills.
Half of $100 is $100/2 = $<<100/2=50>>50.
So there will be $50/$10 = <<50/10=5>>5 pieces of $10 when $50 is changed to $10 bills.
The remaining $50 will be changed to $5 bills so there will be $50/$5 = <<50/5=10>>10 pieces of $5 bills.
So in total, Lorie will have 2 $50 bills + 5 $10 bills + 10 $5 bills = <<2+5+10=17>>17 pieces of bills.
#### 17
|
[
"Step 1: Lorie has 2 x $100 = $<<2*100=200>>200.",
"Step 2: After changing one $100 bill to $50, he remains with $200 - $100 = $<<200-100=100>>100."
] |
Step 2: Change 1 of the $100 bills into $50 bills. Step 3: This will give 1 x $100 / $50 = 2 $50 bills. Step 4: The remaining $100 will be split into two equal parts: $100 / 2 = $50. Step 5: Change the $50 to $10 bills: $50 / $10 = 5 $10 bills. Step 6: The remaining $50 will be changed to $5 bills: $50 / $5 = 10 $5 bills. Step 7: Count the total bills: 2 $50 bills + 5 $10 bills + 10 $5 bills = 17 bills. Step 8: The answer is #### 17.
|
GSM8K
|
Betty bought 1 kg of oranges and 3 kg of apples. The total cost of oranges was $12. The apples were two times cheaper than the oranges. How much did Betty pay for 1 kg of apples?
|
[
"Step 1: The price of oranges was $12 / 1 kg = $<<12/1=12>>12/kg. ",
"\nStep 2: So the apples were two times cheaper than oranges, which means that the apples cost $12 / 2 = $<<12/2=6>>6/kg. ",
"\nStep 3: Betty paid $6 / kg * 3 kg = $<<6*3=18>>18 for the apples. The answer is: 18 "
] |
2
|
Betty bought 1 kg of oranges and 3 kg of apples. The total cost of oranges was $12. The apples were two times cheaper than the oranges. How much did Betty pay for 1 kg of apples?
|
The cost of the apples was $12 / 2 = $<<12/2=6>>6.
When the cost of 3 kg of apples was $6, then the cost of 1 kg of apples was $6 / 3 kg = $<<6/3=2>>2/kg.
#### 2
|
[
"Step 1: The price of oranges was $12 / 1 kg = $<<12/1=12>>12/kg."
] |
Step 1: We know that the apples were two times cheaper than the oranges. Step 2: This means that the apples were half the cost of the oranges. Step 3: The cost of the oranges was $12, so the cost of the apples must be $12 / 2 = $6 for 3 kg. Step 4: To find out the cost of 1 kg of apples, we divide the cost of 3 kg by 3. Step 5: Therefore, the cost of 1 kg of apples is $6 / 3 = $2. Step 6: The answer is #### 2.
|
GSM8K
|
Jeff plays tennis for 2 hours. He scores a point every 5 minutes. He wins a match when he scores 8 points. How many games did he win?
|
[
"Step 1: He played for 2*60=<<2*60=120>>120 minutes ",
"\nStep 2: So he scored 120*5=<<120*5=600>>600 points ",
"\nStep 3: That means he won 600/8=<<600/8=75>>75 games The answer is: 75 "
] |
3
|
Jeff plays tennis for 2 hours. He scores a point every 5 minutes. He wins a match when he scores 8 points. How many games did he win?
|
He played for 2*60=<<2*60=120>>120 minutes
So he scores 120/5=<<120/5=24>>24 points
That means he won 24/8=<<24/8=3>>3 games
#### 3
|
[
"Step 1: He played for 2*60=<<2*60=120>>120 minutes",
"Step 2: So he scored 120*5=<<120*5=600>>600 points"
] |
. Step 2: He scores 1 point every 5 minutes, so in 120 minutes he must have scored 120 / 5 = 24 points. Step 3: Since he wins a match when he scores 8 points, he must have won 24 / 8 = 3 matches. Step 4: The answer is #### 3.
|
GSM8K
|
Bridgette has 2 dogs, 3 cats, and 4 birds. She gives the dogs a bath twice a month. She gives the cats a bath once a month. She gives the birds a bath once every 4 months. In a year, how many baths does she give?
|
[
"Step 1: She gives the dogs 2 baths a month * 12 months a year = <<2*12=24>>24 baths a year. ",
"\nStep 2: She gives the cats 1 bath a month * 12 months a year = <<1*12=12>>12 baths a year. ",
"\nStep 3: She gives the birds 1 bath every 4 months * 12 months a year / 4 = <<1*12/4=3>>3 baths a year. ",
"\nStep 4: She gives 24 baths to the dogs + 12 baths to the cats + 3 baths to the birds = <<24+12+3=39>>39 baths a year. The answer is: 39 "
] |
96
|
Bridgette has 2 dogs, 3 cats, and 4 birds. She gives the dogs a bath twice a month. She gives the cats a bath once a month. She gives the birds a bath once every 4 months. In a year, how many baths does she give?
|
Each dog gets 24 baths a year because 2 x 12 = <<2*12=24>>24
Each cat gets 12 baths a year because 1 x 12 = <<1*12=12>>12
Each bird averages .25 baths per month because 1 / 4 = <<1/4=.25>>.25
Each bird gets 3 baths a year because .25 x 12 = <<.25*12=3>>3
She gives 48 dog baths because 2 x 24 = <<2*24=48>>48
She gives 72 cat baths because 3 x 12 = 36
She gives 12 bird baths a year because 4 x 3 = <<4*3=12>>12
She gives 132 baths a year because 48 + 36+ 12 = <<48+36+12=96>>96
#### 96
|
[
"Step 1: She gives the dogs 2 baths a month * 12 months a year = <<2*12=24>>24 baths a year."
] |
Step 1: Since she gives each dog a bath twice a month, a dog gets 2 * 12 = 24 baths per year. Step 2: She has 2 dogs, so the total number of baths for dogs is 24 * 2 = 48. Step 3: Each cat gets 1 * 12 = 12 baths per year. Step 4: She has 3 cats, so the total number of baths for cats is 12 * 3 = 36. Step 5: Each bird gets 1 / 4 * 12 = 3 baths per year. Step 6: She has 4 birds, so the total number of baths for birds is 3 * 4 = 12. Step 7: To get the total number of baths, add the baths for dogs, cats, and birds: 48 + 36 + 12 = 96. Step 8: The answer is #### 96.
|
GSM8K
|
Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?
|
[
"Step 1: Bill and Dale eat 2 pieces per pizza because 50% of 4 is 50/100*4=2 ",
"\nStep 2: Ann and Cate eat 3 pieces per pizza because 75% of 4 is 75/100*4=3 ",
"\nStep 3: Bill, Dale, Ann, and Cate eat a total of 5 pieces per pizza because 2+3=<<2+3=5>>5 ",
"\nStep 4: There are 4-5 uneaten pieces per pizza because 4-5=9 ",
"\nStep 5: There are 9*3=<<9*3=27>>27 uneaten pieces of pizza because 9*3=27 ",
"\nStep 6: There are 27/4=<<27/4=7>>7 uneaten pieces of pizza because 27/4=7 The answer is: 7 "
] |
6
|
Ann, Bill, Cate, and Dale each buy personal pan pizzas cut into 4 pieces. If Bill and Dale eat 50% of their pizzas and Ann and Cate eat 75% of the pizzas, how many pizza pieces are left uneaten?
|
In total, there are 4 x 4 = <<4*4=16>>16 pizza pieces.
Bill and Dale eat 2 x 4 x 50% = <<2*4*50*.01=4>>4 pieces.
Ann and Cate eat 2 x 4 x 75% = <<2*4*75*.01=6>>6 pieces.
The four of them eat 4 + 6 = <<4+6=10>>10 pieces.
There are 16 - 10 = <<16-10=6>>6 pizza pieces uneaten.
#### 6
|
[
"Step 1: Bill and Dale eat 2 pieces per pizza because 50% of 4 is 50/100*4=2",
"Step 2: Ann and Cate eat 3 pieces per pizza because 75% of 4 is 75/100*4=3",
"Step 3: Bill, Dale, Ann, and Cate eat a total of 5 pieces per pizza because 2+3=<<2+3=5>>5"
] |
Step 3: Total eaten by Bill and Dale is 2 * 2 = 4 pieces. Step 4: Total eaten by Ann and Cate is 3 * 2 = 6 pieces. Step 5: The total eaten is 4 + 6 = 10 pieces. Step 6: There are 16 pieces in total (4 * 4). Step 7: Subtracting eaten from total, 16 - 10 = 6 pieces are left. The answer is #### 6
|
GSM8K
|
The length of the straight part of a river is three times shorter than the crooked part. If the river is 80 miles long, how long is the straight part of the river?
|
[
"Step 1: If the crooked part of the river is 80 miles x 3 = <<80*3=240>>240 miles long, the straight part is 240 - 80 = <<240-80=160>>160 miles long. ",
"\nStep 2: The crooked part is 80 miles / 3 = <<80/3=27>>27 miles longer than the straight part. The answer is: 160+27=193 "
] |
20
|
The length of the straight part of a river is three times shorter than the crooked part. If the river is 80 miles long, how long is the straight part of the river?
|
Let's say the river's length in the straight part of the river is x.
The total length of the river is the length of the straight part plus 3 times the length of the straight part for the crooked part, which is x+3x = 80
The total length of the river is 4x=80
The straight part of the river is x=80/4 = <<80/4=20>>20 miles.
#### 20
|
[
"Step 1: If the crooked part of the river is 80 miles x 3 = <<80*3=240>>240 miles long, the straight part is 240 - 80 = <<240-80=160>>160 miles long."
] |
Step 1: Let's say the length of the straight part is x. Step 2: We know the length of the crooked part is three times the length of the straight part, which makes it 3x. Step 3: The total length of the river is the sum of its straight and crooked parts, so x + 3x = 80 miles. Step 4: Combining the lengths, we get 4x = 80. Step 5: To find the length of the straight part, we divide both sides by 4, which gives x = 80 / 4 = 20 miles. Step 6: The answer is #### 20.
|
GSM8K
|
Cristobal read 15 more than three times the pages that Beatrix read. If Beatrix read 704 pages, how many more pages did Cristobal read?
|
[
"Step 1: If Beatrix read 704 pages, and Cristobal read 15 more than three times the pages Beatrix read, Cristobal read 15+3*704 = 2258 pages. ",
"\nStep 2: Cristobal read 2258-704=<<2258-704=1554>>1554 more pages than Beatrix. The answer is: 1554 "
] |
1423
|
Cristobal read 15 more than three times the pages that Beatrix read. If Beatrix read 704 pages, how many more pages did Cristobal read?
|
Cristobal read: 15 + 3 * 704 = <<15+3*704=2127>>2127 pages
2127 - 704 = <<2127-704=1423>>1423 pages
Cristobal read 1423 more pages than Beatrix.
#### 1423
|
[
"Step 1: If Beatrix read 704 pages, and Cristobal read 15 more than three times the pages Beatrix read, Cristobal read 15+3*704 = 2258 pages."
] |
Step 1: Beatrix read 704 pages. Step 2: We know Cristobal read 3 times the number of pages Beatrix read, so 3 * 704 = 2112 pages. Step 3: Cristobal also read 15 more pages than that, so 2112 + 15 = 2127 pages. Step 4: Since Beatrix read 704 pages, Cristobal read 2127 - 704 = 1423 pages more. Step 5: The answer is #### 1423.
|
GSM8K
|
Mr. John works at a shopping mall and receives a monthly income of $2000, but he spends approximately 5% of this amount on public transport to and from the mall in a month. How much will he have left after deducting his monthly transport fare from his income?
|
[
"Step 1: John's monthly transportation cost is 5/100*$2000 = $<<5/100*2000=100>>100 ",
"\nStep 2: This means he spends a total of $100+$2000 = $<<100+2000=2100>>2100 in a month. ",
"\nStep 3: So he has $2000-$2100 = $<<2000-2100=90>>90 left. The answer is: 90 "
] |
1900
|
Mr. John works at a shopping mall and receives a monthly income of $2000, but he spends approximately 5% of this amount on public transport to and from the mall in a month. How much will he have left after deducting his monthly transport fare from his income?
|
5% of $2000 is (5/100)*$2000 = $<<5/100*2000=100>>100
After removing his transport fare, he will have $2000-$100 = $1900 left
#### 1900
|
[
"Step 1: John's monthly transportation cost is 5/100*$2000 = $<<5/100*2000=100>>100",
"Step 2: This means he spends a total of $100+$2000 = $<<100+2000=2100>>2100 in a month."
] |
.
Step 2: To find his remaining income, we need to subtract his transportation cost from his monthly income. Step 3: The remaining income is $2000 - $100 = $1900. Step 4: The answer is #### 1900.
|
GSM8K
|
Jenna's doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month?
|
[
"Step 1: First figure out how many days are in the first two weeks of the month: 2 weeks * 2 days/week = <<2*2=4>>4 days ",
"\nStep 2: Then subtract that number from the total number of days in the month: 30 days - 4 days = <<30-4=26>>26 days ",
"\nStep 3: Now figure out how many minutes she spends tanning in the first two weeks: 30 minutes/day * 4 days = <<30*4=120>>120 minutes ",
"\nStep 4: Now subtract that number from the total amount of time she is allowed to tan: 200 minutes - 120 minutes = <<200-120=80>>80 minutes ",
"\nStep 5: Now figure out how many days are left in the month: 30 days - 4 days = <<30-4=26>>26 days ",
"\nStep 6: Now multiply the number of days by the number of minutes per day to find out how many minutes she has left to tan: 26 days * 30 minutes/day = <<26*30=810>>810 minutes ",
"\nStep 7: Now subtract the amount of time she already spent tanning to find out how many minutes she has left: 810 minutes - 120 minutes = <<810-120=690>>690 minutes The answer is: 690 "
] |
80
|
Jenna's doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month?
|
First find how many minutes Jenna tans each of the first two weeks: 30 minutes/day * 2 days/week = <<30*2=60>>60 minutes/week
Then multiply that number by the number of weeks to find how many minutes Jenna tans in the first half of the month: 60 minutes/week * 2 weeks = <<60*2=120>>120 minutes
Then subtract that time from the total time Jenna can spend tanning to find how many more minutes she can tan: 200 minutes - 120 minutes = <<200-120=80>>80 minutes
#### 80
|
[
"Step 1: First figure out how many days are in the first two weeks of the month: 2 weeks * 2 days/week = <<2*2=4>>4 days",
"Step 2: Then subtract that number from the total number of days in the month: 30 days - 4 days = <<30-4=26>>26 days",
"Step 3: Now figure out how many minutes she spends tanning in the first two weeks: 30 minutes/day * 4 days = <<30*4=120>>120 minutes",
"Step 4: Now subtract that number from the total amount of time she is allowed to tan: 200 minutes - 120 minutes = <<200-120=80>>80 minutes",
"Step 5: Now figure out how many days are left in the month: 30 days - 4 days = <<30-4=26>>26 days"
] |
Step 5: The answer is #### 80.
|
GSM8K
|
A wood stove burns 4 bundles of wood in the morning, then some more in the afternoon. If there were 10 bundles of wood at the start of the day and 3 bundles of wood at the end of the day, how many bundles of wood were burned in the afternoon?
|
[
"Step 1: There were 10 - 3 = <<10-3=7>>7 bundles of wood at midday. ",
"\nStep 2: So 4 + 7 = <<4+7=11>>11 bundles of wood were burned in the morning and afternoon. The answer is: 11 "
] |
3
|
A wood stove burns 4 bundles of wood in the morning, then some more in the afternoon. If there were 10 bundles of wood at the start of the day and 3 bundles of wood at the end of the day, how many bundles of wood were burned in the afternoon?
|
Working out the difference between the amount of wood available at the start and the end of the day shows that 10 bundles – 3 bundles = <<10-3=7>>7 bundles of wood have been burned throughout the day.
Subtracting the wood burned in the morning from this shows that 7 bundles – 4 bundles = <<7-4=3>>3 bundles of wood were burned in the afternoon.
#### 3
|
[
"Step 1: There were 10 - 3 = <<10-3=7>>7 bundles of wood at midday.",
"Step 2: So 4 + 7 = <<4+7=11>>11 bundles of wood were burned in the morning and afternoon. The answer is: 11"
] |
This means that the difference between the amount of wood available at the start and the end of the day must be 7 bundles.
Step 2: Since 4 bundles of wood were burned in the morning, the wood burned in the afternoon must be 7 - 4 = 3 bundles.
Step 3: The answer is #### 3.
|
GSM8K
|
Davante has twice as many friends as there are days in the week. 3 of his friends are girls. How many friends does he have that are boys?
|
[
"Step 1: Let x be the number of days in the week ",
"\nStep 2: Since there are twice as many friends as days in the week, we get the equation 2x + 3 = x + 3 ",
"\nStep 3: By combining like terms, we get the equation 2x = x + 3 - 3 ",
"\nStep 4: By subtracting x from each side, we get the equation 2x - x = 3 - 3 ",
"\nStep 5: By combining like terms, we get the equation 2x = 3 - 3 ",
"\nStep 6: Since x is the number of days in the week, we get the value of x = 3 ",
"\nStep 7: Since there are twice as many friends as days in the week, we get the value of 2*3 = 6 friends ",
"\nStep 8: Since there are 3 girls, we get the value of 6 - 3 = 3 friends The answer is: 3 "
] |
11
|
Davante has twice as many friends as there are days in the week. 3 of his friends are girls. How many friends does he have that are boys?
|
Davante has 14 friends because 2 times 7 equals <<2*7=14>>14
Davante has 11 friends who are boys because 14-3 equals <<11=11>>11
#### 11
|
[
"Step 1: Let x be the number of days in the week"
] |
Step 1: There are 7 days in a week. Step 2: So, Davante has 2 times 7 = 14 friends. Step 3: He has a total of 14 friends. Step 4: 3 of these friends are girls, so the rest must be boys. Step 5: The number of boy friends he has is 14 - 3 = 11. Step 6: The answer is #### 11.
|
GSM8K
|
Tom wants to make the world's largest dough ball. He needs 500 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make?
|
[
"Step 1: He spends 50*20=$<<50*20=1000>>1000 on promotion ",
"\nStep 2: He spends 10*.2=$<<10*.2=2>>2 on salt ",
"\nStep 3: He spends 500*20=$<<500*20=10000>>10000 on flour ",
"\nStep 4: He sells 500 tickets at $20 apiece for 500*20=$<<500*20=10000>>10000 ",
"\nStep 5: He makes 10000-1000-10-2=<<10000-1000-10-2=8888>>8888 The answer is: 8888 "
] |
8798
|
Tom wants to make the world's largest dough ball. He needs 500 pounds of flour and he can buy 50-pound bags of flour for $20. He also needs 10 pounds of salt and salt cost $.2 a pound. He also spends $1000 promoting everything. He then sells tickets for $20 each and sells 500 tickets. How much money did he make?
|
He needs 500/50=<<500/50=10>>10 bags of flour
That cost 20*10=$<<20*10=200>>200
He needs 10*.2=$<<10*.2=2>>2 worth of salt
So everything cost 1000+200+2=$<<1000+200+2=1202>>1202
He makes 20*500=$<<20*500=10000>>10,000 selling tickets
So he makes a profit of 10000-1202=$<<10000-1202=8798>>8798
#### 8798
|
[
"Step 1: He spends 50*20=$<<50*20=1000>>1000 on promotion"
] |
Step 1: Tom needs 500 pounds of flour, and it comes in 50-pound bags, so the number of bags he needs is 500 / 50 = 10.
Step 2: Each bag costs $20, and Tom needs 10 bags, so the total cost for flour is 10 x $20 = $200.
Step 3: Tom also needs 10 pounds of salt at $0.2 per pound. Step 4: The total cost for salt is 10 pounds x $0.2 per pound = $2.
Step 5: In addition to flour and salt, Tom spent $1000 promoting everything. Step 6: So the total cost is $200 (flour) + $2 (salt) + $1000 (promoting) = $1202.
Step 7: Tom sells 500 tickets at $20 each. Step 8: The total revenue is 500 tickets x $20 per ticket = $10000.
Step 9: To find the profit, we subtract the total cost from the total revenue: $10000 - $1202 = $8798.
The answer is #### 8798.
|
GSM8K
|
There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days?
|
[
"Step 1: The second tree grows 1/2 a day so it grows 1/2 * 1 = 1/2 * 1 = 1/2 meter/day ",
"\nStep 2: The first and second trees grow 1 + 1/2 = <<1+1/2=1.5>>1.5 meters/day ",
"\nStep 3: The third tree grows 2 meters/day ",
"\nStep 4: The fourth tree grows 2 + 1 = <<2+1=3>>3 meters/day ",
"\nStep 5: The trees grow 1.5 + 2 + 3 = <<1.5+2+3=7>>7 meters/day ",
"\nStep 6: The trees grow 4 * 7 = <<4*7=28>>28 meters in total. The answer is: 28 "
] |
32
|
There are four growing trees. The first tree grows 1 meter/day, the second grows the same amount in half the time, the third grows 2 meters/day, and the fourth tree grows a meter more than the third each day. How many meters did the trees grow in total in 4 days?
|
The second tree grows 1*2 = <<1*2=2>>2 meters a day.
The fourth tree grows 2+1 = <<2+1=3>>3 meters a day.
The first tree grows 4*1 = <<4*1=4>>4 meters in 4 days.
The second tree grows 2*4 = <<2*4=8>>8 meters in 4 days.
The third tree grows 2*4 = <<2*4=8>>8 meters in 4 days.
The fourth tree grows 3*4 = <<3*4=12>>12 meters in 4 days.
In 4 days, all four trees grew 4+8+8+12 = <<4+8+8+12=32>>32 meters combined.
#### 32
|
[
"Step 1: The second tree grows 1/2 a day so it grows 1/2 * 1 = 1/2 * 1 = 1/2 meter/day"
] |
Step 1: The second tree grows in half the time of the first tree. Since the first tree grows 1 meter/day, the second tree grows 1 * 2 = 2 meters/day.
Step 2: The fourth tree grows a meter more than the third tree each day. The third tree grows 2 meters/day, so the fourth tree grows 2 + 1 = 3 meters/day.
Step 3: In 4 days, the first tree will grow 1 * 4 = 4 meters.
Step 4: In 4 days, the second tree will grow 2 * 4 = 8 meters.
Step 5: In 4 days, the third tree will grow 2 * 4 = 8 meters.
Step 6: In 4 days, the fourth tree will grow 3 * 4 = 12 meters.
Step 7: To find the total growth, we add the growth of all four trees: 4 + 8 + 8 + 12 = 32 meters.
Step 8: The total growth in 4 days is 32 meters.
#### 32
|
GSM8K
|
A department store offers a 10% discount for the amount exceeding $100 of the customer's total charge. Jaco bought a pair of shoes for $74; 2 pairs of socks that cost $2 per pair; a bag that costs $42. How much will Jaco pay for those items?
|
[
"Step 1: The total charge for the shoes and socks is $74 + $2 x 2 = $<<74+2*2=98>>98. ",
"\nStep 2: Since the total charge exceeds $100, Jaco will get a discount of 10% on $100 - $98 = $<<100-98=2>>2. ",
"\nStep 3: Thus, Jaco will pay $98 - $2 = $<<98-2=96>>96 for those items. The answer is: 96 "
] |
118
|
A department store offers a 10% discount for the amount exceeding $100 of the customer's total charge. Jaco bought a pair of shoes for $74; 2 pairs of socks that cost $2 per pair; a bag that costs $42. How much will Jaco pay for those items?
|
Two pairs of socks cost $2 x 2 = $<<2*2=4>>4.
Jaco's total charge is $74 + $4 + $42 = $<<74+4+42=120>>120.
The amount that exceeds $100 is $120 - $100 = $<<120-100=20>>20.
So, Jaco has $20 x 10/100 = $<<20*10/100=2>>2 discount.
Therefore, Jaco will pay $120 - $2 = $<<120-2=118>>118 for those items.
#### 118
|
[
"Step 1: The total charge for the shoes and socks is $74 + $2 x 2 = $<<74+2*2=98>>98."
] |
Step 1: Jaco bought 2 pairs of socks that cost $2 per pair. Step 2: So, 2 pairs of socks cost 2 x 2 = $4. Step 3: Jaco also bought a pair of shoes for $74 and a bag for $42. Step 4: The total cost of the items must be $74 + $4 + $42 = $120. Step 5: The amount exceeding $100 is $120 - $100 = $20. Step 6: A 10% discount is calculated by multiplying the amount exceeding $100 by 10% (or 0.10). Step 7: So, the discount is $20 x 0.10 = $2. Step 8: The final amount Jaco pays is $120 - $2 = $118. Step 9: The answer is #### 118.
|
GSM8K
|
Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 3 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total?
|
[
"Step 1: Mike received 3 oranges, so the total number of oranges that the children have is 3 + 3 = <<3+3=6>>6 oranges. ",
"\nStep 2: Matt got twice as many apples as Mike, so he received 2 x 3 = <<2*3=6>>6 apples. ",
"\nStep 3: The total number of apples that the children have is 6 + 6 = <<6+6=12>>12 apples. ",
"\nStep 4: Mike and Matt received a total of 3 oranges + 6 apples = <<3+6=9>>9 fruits. ",
"\nStep 5: Adding Mark's bananas to the total, the children have 9 + 3 = <<9+3=12>>12 fruits. The answer is: 12 "
] |
18
|
Annie is a mother of 3 children: Mark, Matt, and Mike. She decided to give them some fruits. Mike received 3 oranges. Matt got twice as many apples, and Mark got as many bananas as Mike and Matt received fruits altogether. How many fruits do the three children have in total?
|
Mike received 3 oranges.
Matt received twice as many apples as Mike received oranges, so he got 3 * 2 = <<3*2=6>>6 apples.
Mark received 6 + 3 = <<6+3=9>>9 bananas.
So in total, all children received 3 + 6 + 9 = <<3+6+9=18>>18 fruits.
#### 18
|
[
"Step 1: Mike received 3 oranges, so the total number of oranges that the children have is 3 + 3 = <<3+3=6>>6 oranges."
] |
Step 1: Mike received 3 oranges. Step 2: Matt got twice as many apples as Mike got oranges, which means Matt got 2 times 3 = 6 apples. Step 3: Mark received the same number of bananas as the total number of fruits Mike and Matt received. Step 4: Since Mike received 3 and Matt received 6, Mark got 3 + 6 = 9 bananas. Step 5: In total, all the children have 3 + 6 + 9 = 18 fruits. Step 6: The answer is #### 18.
|
GSM8K
|
A chair costs 1/7 of the cost of a table. If a table costs $140, how much will it cost to buy a table and 4 chairs?
|
[
"Step 1: If a table costs $140, the 4 chairs cost 4*$140/7 = $<<4*140/7=35>>35 ",
"\nStep 2: The table and 4 chairs will cost $140+$35 = $<<140+35=175>>175 The answer is: 175 "
] |
220
|
A chair costs 1/7 of the cost of a table. If a table costs $140, how much will it cost to buy a table and 4 chairs?
|
One chair costs $140 x 1/7 = $<<140*1/7=20>>20.
Four chairs cost $20 x 4 = $<<20*4=80>>80.
So a table and 4 chairs cost $140 + $80 = $<<140+80=220>>220.
#### 220
|
[
"Step 1: If a table costs $140, the 4 chairs cost 4*$140/7 = $<<4*140/7=35>>35"
] |
Step 1: A table costs $140. Step 2: The cost of a chair is 1/7 of the table's cost. Step 3: This means 1 chair costs (1/7) * 140 = $20. Step 4: Four chairs will cost 4 * $20 = $80. Step 5: To buy a table and 4 chairs, we need to add the cost of the table and the chairs together. Step 6: This will be $140 (table) + $80 (chairs) = $220. Step 7: The answer is #### 220.
|
GSM8K
|
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?
|
[
"Step 1: First find the total width of the pebble splashes: 6 pebbles * 1/4 meter/pebble = <<6*1/4=3/4>>3/4 meter ",
"\nStep 2: Then find the total width of the rock splashes: 3 rocks * 1/2 meter/rock = <<3*1/2=1.5>>1.5 meter ",
"\nStep 3: Then add the pebble and rock widths to find the total width of the splashes from these two types of rocks: 3/4 meter + 1.5 meter = <<3/4+1.5=2.25>>2.25 meters ",
"\nStep 4: Then find the total width of the boulder splashes: 2 boulders * 2 meters/boulder = <<2*2=4>>4 meters ",
"\nStep 5: Then add the width of the pebble and rock splashes to the width of the boulder splashes to find the total width of his splashes: 4 meters + 2.25 meters = <<4+2.25=6.25>>6.25 meters The answer is: 6.25 "
] |
7
|
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?
|
The pebble's total splash width is 1.5 meters because 6 times 1/4 equals <<6*1/4=1.5>>1.5.
The rock's total splash width is 1.5 meters because 3 times 1/2 equals <<3*1/2=1.5>>1.5.
The boulder's total splash width is 4 because 2 times 2 equals four.
The total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7.
#### 7
|
[
"Step 1: First find the total width of the pebble splashes: 6 pebbles * 1/4 meter/pebble = <<6*1/4=3/4>>3/4 meter"
] |
Step 1: We know the width of a pebble's splash is 1/4 meter. Step 2: Since TreQuan throws 6 pebbles, the total width of their splashes will be 6 * (1/4) = 6 * 0.25 = 1.5 meters. Step 3: Similarly, the width of a rock's splash is 1/2 meter. Step 4: Since he throws 3 rocks, the total width of their splashes will be 3 * (1/2) = 3 * 0.5 = 1.5 meters. Step 5: Lastly, the width of a boulder's splash is 2 meters. Step 6: Since TreQuan throws 2 boulders, the total width of their splashes will be 2 * 2 = 4 meters. Step 7: Now we add up the widths of all the splashes: 1.5 + 1.5 + 4 = 7 meters. Step 8: The total width of the splashes is 7 meters. The answer is #### 7.
|
GSM8K
|
Because of the migration of salmon, the total number of salmon in river Trout has increased by ten times the number initially in the river. If there were 500 salmons initially, calculate the total number of fish in the river now.
|
[
"Step 1: If there were 500 salmons initially, the total number of fish in the river is ten times the initial number, that is, 500*10 = <<500*10=5000>>5000 fish ",
"\nStep 2: If there were 500 salmons in the river initially, the total number of fish in the river has increased by 5000-500 = <<5000-500=4500>>4500 fish The answer is: 4500 "
] |
5500
|
Because of the migration of salmon, the total number of salmon in river Trout has increased by ten times the number initially in the river. If there were 500 salmons initially, calculate the total number of fish in the river now.
|
If the number of salmons in the river increased by ten times the number initially there, then 500*10 = <<500*10=5000>>5000 new salmons migrated up the river.
The total number of salmon in the river now is 5000+500 = <<5000+500=5500>>5500
#### 5500
|
[
"Step 1: If there were 500 salmons initially, the total number of fish in the river is ten times the initial number, that is, 500*10 = <<500*10=5000>>5000 fish",
"Step 2: If there were 500 salmons in the river initially, the total number of fish in the river has increased by 5000-500 = <<5000-500=4500>>4500 fish The answer is: 4500"
] |
. Step 2: This means 5000 new fish have migrated up the river. Step 3: Adding these new fish to the initial number of fish, we get 5000 + 500 = 5500 fish in total. Step 4: The answer is #### 5500.
|
GSM8K
|
Maurice is getting $2 for every finished task. And for every 10 tasks finished, he receives a $6 bonus. How much money would Maurice make for finishing 30 tasks?
|
[
"Step 1: Maurice would get 30 * 2 = $<<30*2=60>>60 for finishing 30 tasks. ",
"\nStep 2: And he would get a $6 bonus for 30 / 10 = <<30/10=3>>3 finished tasks. ",
"\nStep 3: In total Maurice would make $60 + $6 = $<<60+6=66>>66 for finishing 30 tasks. The answer is: 66 "
] |
78
|
Maurice is getting $2 for every finished task. And for every 10 tasks finished, he receives a $6 bonus. How much money would Maurice make for finishing 30 tasks?
|
Starting with the bonus, Maurice would receive it 30 / 10 = <<30/10=3>>3 times.
This means the bonus money, would make up to 3 * 6 = $<<3*6=18>>18.
Maurice would do 30 tasks, so for all of them, he would receive 30 * 2 = $<<30*2=60>>60.
So in total Maurice would make 60 + 18 = $<<60+18=78>>78 for finishing 30 tasks.
#### 78
|
[
"Step 1: Maurice would get 30 * 2 = $<<30*2=60>>60 for finishing 30 tasks.",
"Step 2: And he would get a $6 bonus for 30 / 10 = <<30/10=3>>3 finished tasks."
] |
Step 2: He would also receive a bonus for finishing 10 tasks, 20 tasks, and 30 tasks. Step 3: This is 3 bonuses because 30 is divisible by 10. Step 4: The total bonus would be 3 * 6 = $18. Step 5: The total amount Maurice would make for finishing 30 tasks would be 60 + 18 = $78. Step 6: The answer is #### 78.
|
GSM8K
|
Scott, Mary, and Ken committed to raising $4,000 for their local children’s cancer hospital. Right now, Mary’s collection is five times what Ken has, but three times Scott’s funds. If Ken has $600, by how much have the three exceeded their goal?
|
[
"Step 1: If Ken has raised $600, Mary has raised 5 * $600 = $<<5*600=3000>>3000. ",
"\nStep 2: Scott’s collection is 3 times Ken’s, so Scott has raised $600 * 3 = $<<600*3=1800>>1800 ",
"\nStep 3: Together, Mary and Scott have raised $3000 + $1800 = $<<3000+1800=4800>>4800 ",
"\nStep 4: Together, the three have raised $4800 + $600 = $<<4800+600=5400>>5400, which is $400 more than their goal. The answer is: 400 "
] |
600
|
Scott, Mary, and Ken committed to raising $4,000 for their local children’s cancer hospital. Right now, Mary’s collection is five times what Ken has, but three times Scott’s funds. If Ken has $600, by how much have the three exceeded their goal?
|
Mary has collected 5 * $600 = $<<5*600=3000>>3000
Scott therefore has $3000 / 3 = $<<3000/3=1000>>1000
All together, they have raised $3000 + $1000 + $600 = $<<3000+1000+600=4600>>4600
They have therefore exceeded their goal by $4600 - $4000 = $<<4600-4000=600>>600
#### 600
|
[
"Step 1: If Ken has raised $600, Mary has raised 5 * $600 = $<<5*600=3000>>3000.",
"Step 2: Scott’s collection is 3 times Ken’s, so Scott has raised $600 * 3 = $<<600*3=1800>>1800"
] |
Step 2: Since Mary has 3 times Scott's funds, Scott has 3000 / 3 = $1000. Step 3: Now we add the funds of all three, 3000 + 1000 + 600 = 4600. Step 4: They raised a total of $4600, exceeding their goal of $4000. Step 5: Therefore, the amount they exceeded their goal by is 4600 - 4000 = 600. Step 6: The answer is #### 600.
|
GSM8K
|
Elvis is releasing a new album with 10 songs, but he doesn't want to waste too much time on writing. He spends 5 hours in the studio, where he writes, records, and edits his songs. Each song takes 12 minutes to record, then it takes 30 minutes to edit all of his songs. How many minutes did it take Elvis to write each song, if each song took the same amount of time to write?
|
[
"Step 1: First find how long the writing and recording took: 5 hours * 60 minutes/hour = <<5*60=300>>300 minutes ",
"\nStep 2: Then subtract the time spent editing to find out how long it took to write each song: 300 - 30 = <<300-30=270>>270 minutes ",
"\nStep 3: Then divide that number by the number of songs to find out how long each song took to write: 270 / 10 = <<270/10=27>>27 minutes/song The answer is: 27 "
] |
15
|
Elvis is releasing a new album with 10 songs, but he doesn't want to waste too much time on writing. He spends 5 hours in the studio, where he writes, records, and edits his songs. Each song takes 12 minutes to record, then it takes 30 minutes to edit all of his songs. How many minutes did it take Elvis to write each song, if each song took the same amount of time to write?
|
5 hours in the studio is the same as 5 * 60 = <<5*60=300>>300 minutes.
To record all of his songs, Elvis takes 12 * 10 = <<12*10=120>>120 minutes.
After editing and recording 300 – 120 – 30 = <<300-120-30=150>>150 minutes are left to write all of his songs.
Songwriting therefore took 150 / 10 = <<150/10=15>>15 minutes per song.
#### 15
|
[
"Step 1: First find how long the writing and recording took: 5 hours * 60 minutes/hour = <<5*60=300>>300 minutes",
"Step 2: Then subtract the time spent editing to find out how long it took to write each song: 300 - 30 = <<300-30=270>>270 minutes"
] |
in total.
Step 2: Next, we find how long recording all 10 songs took: 10 songs * 12 minutes/song = 120 minutes.
Step 3: Now we know editing all songs took 30 minutes. Step 4: We find the remaining time: 300 minutes (all time) - 120 minutes (recording time) - 30 minutes (editing time) = 150 minutes.
Step 5: We now have 10 songs to write, so we need to find the writing time per song, which is 150 minutes / 10 songs = 15 minutes per song. Step 6: The answer is #### 15.
|
GSM8K
|
Ralph watches TV for 4 hours a day from Monday to Friday, and 6 hours a day on Saturday and Sunday. How many hours does Ralph spend watching TV in one week?
|
[
"Step 1: Ralph spends 4 + 6 = <<4+6=10>>10 hours watching TV on both weekdays and weekends. ",
"\nStep 2: Therefore, Ralph spends 10 x 7 = <<10*7=70>>70 hours watching TV in a week. The answer is: 70 "
] |
32
|
Ralph watches TV for 4 hours a day from Monday to Friday, and 6 hours a day on Saturday and Sunday. How many hours does Ralph spend watching TV in one week?
|
From Monday to Friday, Ralph watches TV for 4 * 5 = <<4*5=20>>20 hours.
On Saturday and Sunday, Ralph watches TV for 2 * 6 = <<2*6=12>>12 hours.
In one week, Ralph watches TV for a total of 20 + 12 = <<20+12=32>>32 hours.
#### 32
|
[
"Step 1: Ralph spends 4 + 6 = <<4+6=10>>10 hours watching TV on both weekdays and weekends."
] |
Step 1: First, let's calculate the number of hours Ralph spends watching TV from Monday to Friday. Step 2: Since there are 5 days from Monday to Friday, he watches TV for 4 hours * 5 days = 20 hours. Step 3: Next, let's calculate the number of hours Ralph watches TV on Saturday and Sunday. Step 4: He watches TV for 6 hours * 2 days = 12 hours. Step 5: To find the total hours spent watching TV, add the hours from Monday to Friday and the hours on Saturday and Sunday: 20 hours + 12 hours = 32 hours. Step 6: The answer is #### 32.
|
GSM8K
|
Salaria is growing oranges this summer. She bought two types of trees. She has 50% of tree A and 50% of tree B. Tree A gives her 10 oranges a month and 60% are good. Tree B gives her 15 oranges and 1/3 are good. If she gets 55 good oranges per month, how many total trees does she have?
|
[
"Step 1: She has 10 * 50% = <<10*50*.01=5>>5 trees of type A. ",
"\nStep 2: She has 15 * 1/3 = <<15*1/3=5>>5 trees of type B. ",
"\nStep 3: She has 5 + 5 = <<5+5=10>>10 trees. ",
"\nStep 4: 10 * 60% = 60% of oranges from tree A are good. ",
"\nStep 5: 10 * 1/3 = 1/3 of oranges from tree B are good. ",
"\nStep 6: 1/3 + 60% = 70% of the oranges she gets are good. ",
"\nStep 7: She gets 55 * 70% = <<55*70*.01=38>>38 good oranges per month. The answer is: 38 "
] |
10
|
Salaria is growing oranges this summer. She bought two types of trees. She has 50% of tree A and 50% of tree B. Tree A gives her 10 oranges a month and 60% are good. Tree B gives her 15 oranges and 1/3 are good. If she gets 55 good oranges per month, how many total trees does she have?
|
Each tree A gives her six good oranges a month 10 x .6 = <<10*.6=6>>6
Each tree B gives her five good oranges a month because 15 x (1/3) = <<15*(1/3)=5>>5
On average, a tree gives her 5.5 oranges a month because .5(6) + .5(5) = 5.5
She has ten total trees because 55 / 5.5 = <<55/5.5=10>>10
#### 10
|
[
"Step 1: She has 10 * 50% = <<10*50*.01=5>>5 trees of type A.",
"Step 2: She has 15 * 1/3 = <<15*1/3=5>>5 trees of type B.",
"Step 3: She has 5 + 5 = <<5+5=10>>10 trees."
] |
Step 3: She has a total of 5 + 5 = 10 trees. Step 4: Each tree A gives 10 * 60% = 6 oranges per month. Step 5: Each tree B gives 15 * 1/3 = 5 oranges per month. Step 6: 5 trees of A would give 5 * 6 = 30 oranges per month. Step 7: 5 trees of B would give 5 * 5 = 25 oranges per month. Step 8: 30 + 25 = 55 oranges in total per month. Step 9: The number of good oranges should be the same each month, so she indeed has 10 trees in total. Step 10: The answer is #### 10.
|
GSM8K
|
Billy made 49 sandwiches; Katelyn made 47 more than that. Chloe made a quarter of the amount that Katelyn made. How many sandwiches did they make in all?
|
[
"Step 1: Katelyn made 49 + 47 = <<49+47=96>>96 sandwiches. ",
"\nStep 2: Chloe made 1/4 x 96 = <<1/4*96=24>>24 sandwiches. ",
"\nStep 3: They made 49 + 96 + 24 = <<49+96+24=170>>170 sandwiches in all. The answer is: 170 "
] |
169
|
Billy made 49 sandwiches; Katelyn made 47 more than that. Chloe made a quarter of the amount that Katelyn made. How many sandwiches did they make in all?
|
Katelyn made 49+47 = <<49+47=96>>96 sandwiches.
Chloe made 96/4 = <<96/4=24>>24 sandwiches.
Billy, Katelyn, and Chloe made 49+96+24 = <<49+96+24=169>>169 sandwiches in all.
#### 169
|
[
"Step 1: Katelyn made 49 + 47 = <<49+47=96>>96 sandwiches.",
"Step 2: Chloe made 1/4 x 96 = <<1/4*96=24>>24 sandwiches.",
"Step 3: They made 49 + 96 + 24 = <<49+96+24=170>>170 sandwiches in all. The answer is: 170"
] |
Step 3: To find the total, add the number of sandwiches each person made: 49 + 96 + 24 = 169. Step 4: The answer is #### 169.
|
GSM8K
|
Utopia National Park hosted 30,000 elephants on Friday night. The next morning, there was a 4-hour elephant exodus out of the park, at a constant rate of 2,880 elephants/hour. Over the next 7-hour period, new elephants entered the park at a constant rate. If the final number of elephants in the park was 28,980, at what rate did the new elephants enter the park?
|
[
"Step 1: There were 30,000 elephants in the park on Friday night, and during the 4-hour exodus, 2,880 * 4 = <<2880*4=11520>>11,520 elephants left the park. ",
"\nStep 2: This means there were 30,000 - 11,520 = <<30000-11520=18480>>18,480 elephants in the park at the end of the exodus. ",
"\nStep 3: During the next 7-hour period, 28,980 - 18,480 = <<28980-18480=14500>>14,500 elephants entered the park. ",
"\nStep 4: The rate at which the new elephants entered the park was 14,500 / 7 = <<14500/7=2070>>2,070 elephants/hour. The answer is: 2,070 "
] |
1500
|
Utopia National Park hosted 30,000 elephants on Friday night. The next morning, there was a 4-hour elephant exodus out of the park, at a constant rate of 2,880 elephants/hour. Over the next 7-hour period, new elephants entered the park at a constant rate. If the final number of elephants in the park was 28,980, at what rate did the new elephants enter the park?
|
The Saturday morning exodus out of the park comprised 4*2880 = <<4*2880=11520>>11520 elephants
This means that after the exodus, the park was left with 30000 - 11520 = <<30000-11520=18480>>18480 elephants
Since the final number of elephants was 28,980, the new elephants that entered were 28980 - 18480 = <<28980-18480=10500>>10500
The rate at which the new elephants entered the park was therefore 10500/7 = <<10500/7=1500>>1500 elephants/hour
#### 1500
|
[
"Step 1: There were 30,000 elephants in the park on Friday night, and during the 4-hour exodus, 2,880 * 4 = <<2880*4=11520>>11,520 elephants left the park.",
"Step 2: This means there were 30,000 - 11,520 = <<30000-11520=18480>>18,480 elephants in the park at the end of the exodus.",
"Step 3: During the next 7-hour period, 28,980 - 18,480 = <<28980-18480=14500>>14,500 elephants entered the park."
] |
Step 3: Since there were 28,980 elephants in the park at the end, the new elephants that entered were 28,980 - 18,480 = 10,500 elephants. Step 4: These new elephants entered over a 7-hour period, so the rate at which the new elephants entered the park was 10,500 / 7 = 1,500 elephants/hour. Step 5: The answer is #### 1500.
|
GSM8K
|
Sally took 342 pens to her class of 44 students. If she gave 7 pens to each student, left half of the remainder in her locker, and took the rest home, how many did she take home?
|
[
"Step 1: Subtract the number of pens given to the students from the total number of pens to find the remainder: 342 pens - 44 pens = <<342-44=298>>298 pens ",
"\nStep 2: Sally left 298/2 = 149 pens in her locker. ",
"\nStep 3: Then she took home 298 - 149 = 149 pens. The answer is: 149 "
] |
17
|
Sally took 342 pens to her class of 44 students. If she gave 7 pens to each student, left half of the remainder in her locker, and took the rest home, how many did she take home?
|
She gave 7 pens each to 44 students for a total of 7*44 = <<7*44=308>>308 pens
There are now 342-308 = <<342-308=34>>34 pens left
She left half of 34 pens in her locker which is 34*(1/2) = <<34*(1/2)=17>>17 pens
She took 34-17 = <<34-17=17>>17 pens home
#### 17
|
[
"Step 1: Subtract the number of pens given to the students from the total number of pens to find the remainder: 342 pens - 44 pens = <<342-44=298>>298 pens"
] |
Step 1: Sally started with 342 pens. Step 2: She gave 7 pens to each of her 44 students, so she gave away 7 * 44 = 308 pens. Step 3: The number of pens she had left is 342 - 308 = 34 pens. Step 4: She left half of the 34 pens in her locker, which is 34 * 0.5 = 17 pens. Step 5: She took home the remaining pens, which is 34 - 17 = 17 pens. Step 6: The answer is #### 17.
|
GSM8K
|
David is taking a data analytics course that lasts for 24 weeks. The course consists of 2 three-hour classes and 1 four-hour class each week. In addition, David must spend 4 hours each week working on small group homework assignments. How many hours will he spend on this course?
|
[
"Step 1: Each week, David spends 3 hours in class and 4 hours working on homework for a total of 3 + 4 = <<3+4=7>>7 hours ",
"\nStep 2: In 24 weeks, David will spend 7 hours each week for a total of 24 * 7 = <<24*7=168>>168 hours The answer is: 168 "
] |
336
|
David is taking a data analytics course that lasts for 24 weeks. The course consists of 2 three-hour classes and 1 four-hour class each week. In addition, David must spend 4 hours each week working on small group homework assignments. How many hours will he spend on this course?
|
Each week, David will spend 3 hours + 3 hours + 4 hours = <<3+3+4=10>>10 hours in class.
Add to that his 4 hours of small group work, 4 + 10 = <<4+10=14>>14 hours a week.
He will spend 14 hours x 24 weeks = <<14*24=336>>336 hours on the course.
#### 336
|
[
"Step 1: Each week, David spends 3 hours in class and 4 hours working on homework for a total of 3 + 4 = <<3+4=7>>7 hours"
] |
Step 1: There are 2 three-hour classes in a week. Step 2: So, he spends 2 * 3 = 6 hours in class for those two sessions. Step 3: In addition to that, there is a 4-hour class. Step 4: So, the total time spent in class is 6 + 4 = 10 hours. Step 5: David also spends 4 hours each week on small group homework. Step 6: In total, he spends 10 + 4 = 14 hours per week on the course. Step 7: Since the course lasts for 24 weeks, the total hours spent is 14 * 24 = 336 hours. Step 8: The answer is #### 336.
|
GSM8K
|
Tommy's home is worth 25% more than he bought it for. He sells it and buys a new house that costs $500,000. If he had to take a loan for the 75% he can't pay, how much did he buy his first house for?
|
[
"Step 1: He paid 25% less for the new house than he got for the first one, so the first one was worth 500000*(25/100)=$125000 ",
"\nStep 2: The first house was worth 125000+25%=$15625 more than what he paid for it, so he paid 125000-15625=$<<125000-15625=109375>>109375 for it The answer is: 109375 "
] |
100000
|
Tommy's home is worth 25% more than he bought it for. He sells it and buys a new house that costs $500,000. If he had to take a loan for the 75% he can't pay, how much did he buy his first house for?
|
He paid 25% of the new home price because 100 - 75 = <<100-75=25>>25
He paid $125,000 towards the new home because 500,000 x .25 = <<500000*.25=125000>>125,000
Therefore he paid $100,000 for his first home because 125,000 / 1.25 = <<125000/1.25=100000>>100,000
#### 100000
|
[
"Step 1: He paid 25% less for the new house than he got for the first one, so the first one was worth 500000*(25/100)=$125000"
] |
Step 1: Since Tommy bought the new house for $500,000 and had to take a loan for 75% of it, he must have paid 25% of the cost in cash. Step 2: 25% is the same as 1/4 or 0.25, so to find 25% of $500,000, we multiply 0.25 by 500,000. Step 3: Multiplying 500,000 by 0.25 gives us 125,000. Step 4: Since 125,000 is 25% more than the original price, the original price can be found by dividing 125,000 by 1.25 (which is 1 + 0.25). Step 5: Dividing 125,000 by 1.25 gives us 100,000. Step 6: Therefore, Tommy bought his first house for 100,000.
#### 100000
|
GSM8K
|
Brendan can cut 8 yards of grass per day, he bought a lawnmower and it helped him to cut more yards by Fifty percent per day. How many yards will Brendan be able to cut after a week?
|
[
"Step 1: Brendan was able to cut 8/2 = <<8/2=4>>4 yards more per day after buying the lawnmower. ",
"\nStep 2: This means that he can cut 4*7 = <<4*7=28>>28 yards per day after a week. ",
"\nStep 3: Therefore, Brendan will be able to cut 28*7= <<28*7=208>>208 yards per day. The answer is: 208 "
] |
84
|
Brendan can cut 8 yards of grass per day, he bought a lawnmower and it helped him to cut more yards by Fifty percent per day. How many yards will Brendan be able to cut after a week?
|
The additional yard Brendan can cut after buying the lawnmower is 8 x 0.50 = <<8*0.50=4>>4 yards.
So, the total yards he can cut with the lawnmower is 8 + 4 = <<8+4=12>>12.
Therefore, the total number of yards he can cut in a week is 12 x 7 = <<12*7=84>>84 yards.
#### 84
|
[
"Step 1: Brendan was able to cut 8/2 = <<8/2=4>>4 yards more per day after buying the lawnmower.",
"Step 2: This means that he can cut 4*7 = <<4*7=28>>28 yards per day after a week.",
"Step 3: Therefore, Brendan will be able to cut 28*7= <<28*7=208>>208 yards per day. The answer is: 208"
] |
Step 3: This is because he can cut 8 yards (as before) plus 4 more yards per day. Step 4: Since there are 7 days in a week, he can cut 8 * 7 = 56 yards from before plus 4 * 7 = 28 yards from the new mower. Step 5: 56 + 28 = 84. Step 6: Therefore, the total yards Brendan can cut in a week is 84 yards. Step 7: The answer is #### 84.
|
GSM8K
|
Jenine can sharpen a pencil 5 times before it runs out. She needs to sharpen a pencil for every 1.5 hours of use. She already has ten pencils and needs to write for 105 hours. A new pencil costs $2. How much does she need to spend on more pencils to be able to write for 105 hours?
|
[
"Step 1: Jenine needs 105 / 5 = <<105/5=21>>21 pencils to write for 105 hours. ",
"\nStep 2: She needs to buy 21 - 10 = <<21-10=11>>11 pencils. ",
"\nStep 3: It will cost her 11 * $2 = $<<11*2=22>>22 to buy the pencils she needs. The answer is: 22 "
] |
8
|
Jenine can sharpen a pencil 5 times before it runs out. She needs to sharpen a pencil for every 1.5 hours of use. She already has ten pencils and needs to write for 105 hours. A new pencil costs $2. How much does she need to spend on more pencils to be able to write for 105 hours?
|
A pencil last 7.5 hours because 5 x 1.5 = <<5*1.5=7.5>>7.5
The pencils she has will last 75 hours because 10 x 7.5 = <<10*7.5=75>>75
She needs 30 more hours of writing because 105 - 75 = <<105-75=30>>30
She will need 4 more pencils to reach this because 30 / 7.5 = <<30/7.5=4>>4
She will spend $8 on pencils because 4 x 2 = <<4*2=8>>8
#### 8
|
[
"Step 1: Jenine needs 105 / 5 = <<105/5=21>>21 pencils to write for 105 hours."
] |
Step 1: Since a pencil lasts 1.5 hours per sharpening, it will last for 5 sharpenings or 5 * 1.5 = 7.5 hours. Step 2: She has 10 pencils, so they will last for a total of 10 * 7.5 = 75 hours. Step 3: Since she needs to write for 105 hours, she needs 105 - 75 = 30 more hours of writing. Step 4: To find out how many pencils she needs, we divide 30 hours by the 7.5 hours per pencil, which is 30 / 7.5 = 4. Step 5: Since each new pencil costs $2, she will need 4 * 2 = $8 to buy the additional pencils. Step 6: The answer is #### 8.
|
GSM8K
|
Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?
|
[
"Step 1: If in the first year, Adam teaches 40 students, then he teaches 50 students - 40 students = <<50-40=10>>10 more students in the next 9 years. ",
"\nStep 2: In 10 years, Adam will teach 10 students/year * 10 years = <<10*10=100>>100 students. The answer is: 100 "
] |
490
|
Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?
|
Adam will teach 50 * 9 = <<50*9=450>>450 students in 9 years.
So, in 10 year Adam will teach 450 + 40 = <<450+40=490>>490 students.
#### 490
|
[
"Step 1: If in the first year, Adam teaches 40 students, then he teaches 50 students - 40 students = <<50-40=10>>10 more students in the next 9 years."
] |
Step 1: Adam teaches 50 students every year, except for the first year when he teaches 40. Step 2: For the remaining 9 years, he will teach 50 students per year. Step 3: So, he will teach 9 * 50 = 450 students in 9 years. Step 4: Adding the 40 students from the first year, he will teach 450 + 40 = 490 students in 10 years. Step 5: The answer is #### 490.
|
GSM8K
|
James' keyboard is missing 1/7 of the consonants and two vowels. How many keys are missing in total? (Remember there are 5 vowels and 21 consonants in the alphabet.)
|
[
"Step 1: Missing consonants: 21 / 7 = <<21/7=3>>3 ",
"\nStep 2: Missing vowels: 5 - 2 = <<5-2=3>>3 ",
"\nStep 3: Missing keys: 3 + 3 = <<3+3=6>>6 The answer is: 6 "
] |
5
|
James' keyboard is missing 1/7 of the consonants and two vowels. How many keys are missing in total? (Remember there are 5 vowels and 21 consonants in the alphabet.)
|
First find how many consonants are missing: 21 consonants * 1/7 = <<21*1/7=3>>3 consonants
Then add the number of missing vowels to find the total number of missing keys: 3 consonants + 2 vowels = <<3+2=5>>5 keys
#### 5
|
[
"Step 1: Missing consonants: 21 / 7 = <<21/7=3>>3"
] |
Step 1: There are 21 consonants in the alphabet. Step 2: We need to find 1/7 of the consonants, which is (1/7) * 21 = 3 consonants missing. Step 3: There are 5 vowels, and 2 of them are missing. Step 4: To find the total number of missing keys, we add the missing consonants and vowels, 3 + 2 = 5 keys. Step 5: The answer is #### 5.
|
GSM8K
|
An apple tree has three times as many apples as the number of plums on a plum tree. If Damien picks 3/5 of the fruits from the trees, calculate the total number of plums and apples remaining on the tree if there were 180 apples on the apple tree before Damien picked any of the fruits.
|
[
"Step 1: Since there are three times as many apples as plums on the apple tree, the number of plums is 1/3 the number of apples on the tree, or 180*(1/3)= <<180*(1/3)=60>>60. ",
"\nStep 2: If Damien picks 3/5 of the fruits from the trees, he picks 3/5*60= <<3/5*60=42>>42 plums. ",
"\nStep 3: The total number of plums remaining on the plum tree is 60-42=<<60-42=18>>18 The answer is: 18 "
] |
96
|
An apple tree has three times as many apples as the number of plums on a plum tree. If Damien picks 3/5 of the fruits from the trees, calculate the total number of plums and apples remaining on the tree if there were 180 apples on the apple tree before Damien picked any of the fruits.
|
Initially, the were 180//3= <<180//3=60>>60 plums on the plum tree.
When Damien picked 3/5 of the apples from the apple tree, he picked 3/5*180 = <<3/5*180=108>>108 apples
The number of apples remaining on the apple tree is 180-108= <<180-108=72>>72
The number of plums that Damien picked from the plum tree is 3/5*60 = <<3/5*60=36>>36
The number of plums remaining on the plum tree is 60-36 = <<60-36=24>>24
The total number of fruits remaining on the trees is 72 apples+24 plums = <<72+24=96>>96
#### 96
|
[
"Step 1: Since there are three times as many apples as plums on the apple tree, the number of plums is 1/3 the number of apples on the tree, or 180*(1/3)= <<180*(1/3)=60>>60.",
"Step 2: If Damien picks 3/5 of the fruits from the trees, he picks 3/5*60= <<3/5*60=42>>42 plums."
] |
Step 2: Initially, there are 60 plums on the plum tree. Step 3: Damien picks 3/5 of the apples from the apple tree, which is 3/5 * 180 = 108. Step 4: So the number of apples remaining on the apple tree is 180 - 108 = 72. Step 5: Now, let’s find out how many plums Damien picked from the plum tree. 3/5 of the total plums is 3/5 * 60 = 36. Step 6: The number of plums remaining on the plum tree is 60 - 36 = 24. Step 7: The total number of fruits remaining on the tree is 72 apples + 24 plums = 96. Step 8: The answer is #### 96
|
GSM8K
|
April went to a concert that has two bands. 2/3 of the audience was there for the second band and 1/3 was there for the first band. 50% of the audience there for the second band is under the age of 30. Of this group, 60% are women and there are 20 men. How many people are at the concert?
|
[
"Step 1: 2/3 of the audience was there for the second band so 2/3*500 = <<2/3*500=333>>333 people ",
"\nStep 2: The second band has 50% of the audience under the age of 30 so 333/2 = <<333/2=166>>166 people ",
"\nStep 3: Of this group, 60% are women so 166*.6 = <<166*.6=100>>100 people ",
"\nStep 4: There are 20 men in this group so 100-20 = <<100-20=80>>80 people The answer is: 80 "
] |
150
|
April went to a concert that has two bands. 2/3 of the audience was there for the second band and 1/3 was there for the first band. 50% of the audience there for the second band is under the age of 30. Of this group, 60% are women and there are 20 men. How many people are at the concert?
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Of the under-30s there for the second band, 40% are men because 100-60 = <<100-60=40>>40
There are fifty under-30s there for the second band because 20 / .4 = <<20/.4=50>>50
There are 100 people there to see the second band because 50 / .5 = <<50/.5=100>>100
There are 150 people at the concert because 100 / (2/3) = <<100/(2/3)=150>>150
#### 150
|
[
"Step 1: 2/3 of the audience was there for the second band so 2/3*500 = <<2/3*500=333>>333 people"
] |
Step 1: 20 men are there for the second band. Step 2: Since 60% of the under-30s there for the second band are women, the remaining 40% must be men. Step 3: Therefore, the number of men there for the second band is 20 men, which is 40% of the under-30s, so 100% can be found by dividing 20 by 0.4, which equals 50. Step 4: This means there are 50 people under the age of 30 there for the second band. Step 5: We know that 50% of the audience there for the second band are under the age of 30, so to find the total number of people there for the second band, we multiply 50 by 2, which equals 100. Step 6: Since 2/3 of the audience is there for the second band, and the total number of people there for the second band is 100, we can find the total audience by multiplying 100 by 3/2, which equals 150. Step 7: The answer is #### 150.
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GSM8K
|
Aaron and his brother Carson each saved up $40 to go to dinner. The bill is 3/4 of their total money. After, they go out for ice cream. Each scoop costs $1.5 and they get the same amount as each other. If they leave with $1 in change each, how many scoops did they each buy?
|
[
"Step 1: The bill is 3/4 of their total money so 3/4*$40 = $<<3/4*40=30>>30 ",
"\nStep 2: They each get the same amount of ice cream and Aaron has $1 in change so they both spent $30+$1 = $<<30+1=31>>31 on dinner ",
"\nStep 3: Each scoop costs $1.5 and they each bought the same amount so 31/2 = $1.5*2 = $<<31/2=18>>18 worth of ice cream ",
"\nStep 4: They each had 18/2 = $<<18/2=9>>9 worth of ice cream The answer is: 9 "
] |
6
|
Aaron and his brother Carson each saved up $40 to go to dinner. The bill is 3/4 of their total money. After, they go out for ice cream. Each scoop costs $1.5 and they get the same amount as each other. If they leave with $1 in change each, how many scoops did they each buy?
|
They had $80 saved up because 2 x 40 = <<2*40=80>>80
They spent $60 because 80 x (3/4) = <<80*(3/4)=60>>60
They had $20 left for ice cream because 80 - 60 = <<80-60=20>>20
They had $2 left after leaving the ice cream shop because 2 x 1 = <<2*1=2>>2
They spent $18 on ice cream because 20 - 2 = <<20-2=18>>18
The bought 12 scoops of ice cream because 18 / 1.5 = <<18/1.5=12>>12
The each bought 6 scoops because 12 / 2 = <<12/2=6>>6
#### 6
|
[
"Step 1: The bill is 3/4 of their total money so 3/4*$40 = $<<3/4*40=30>>30"
] |
Step 1: Since Aaron and Carson each saved $40, they saved a total of 40 + 40 = 80 dollars. Step 2: The dinner bill was 3/4 of their total money, so the bill was (3/4) * 80 = 60 dollars. Step 3: They spent 60 dollars at dinner, so they had 80 - 60 = 20 dollars left for ice cream. Step 4: After buying ice cream, they each left with $1 in change, so together they spent 20 - 2 = 18 dollars on ice cream. Step 5: Since each scoop of ice cream costs $1.5, they bought 18 / 1.5 = 12 scoops in total. Step 6: Since they got the same amount as each other, each person bought 12 / 2 = 6 scoops. Step 7: The answer is #### 6.
|
GSM8K
|
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