question stringlengths 201 1.14k | answer stringlengths 167 1.02k | reward float64 0 1 |
|---|---|---|
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Brian has twice as many tennis balls as Frodo, who has 8 more than Lily. If Lily has 3 tennis balls, how many does Brian have? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Lily has 3 tennis balls.
2. Frodo has 8 more than Lily, so Frodo has 3 + 8 = 11 tennis balls.
3. Brian has twice as many tennis balls as Frodo, so Brian has 11 * 2 = 22 tennis balls.
#### Final Answer:
#### 22 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Martin spends 2 hours waiting in traffic, then four times that long trying to get off the freeway. How much time does he waste total? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Martin spends 2 hours waiting in traffic.
2. He spends four times that long trying to get off the freeway, which is 4 * 2 = 8 hours.
3. The total time spent is the sum of the time spent waiting in traffic and the time spent trying to get off the freeway, which is 2 + 8 = 10 hours... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Aaron pays his actuary membership fees each year. The membership fee increases yearly by $10. If he pays $80 in the first year, how much does his membership cost, in dollars, in the sixth year? Let's think step by step and output the final... | Let's break this down step by step:
1. Aaron pays $80 in the first year.
2. The membership fee increases by $10 each year.
3. We need to find out how much he pays in the sixth year.
This is an arithmetic sequence where the first term \(a_1\) is $80, the common difference \(d\) is $10, and the number of terms \(n\) is... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The owner of a company needs to install a transformer to power his electrical equipment. He operates three units of machinery that require a running current of 40A each. These appliances require at least twice their running current for sta... | Let's break this down step by step:
1. Each unit of machinery requires a running current of 40A.
2. Each unit requires at least twice its running current for starting, so each unit requires 40A * 2 = 80A for starting.
3. There are three units of machinery, so the total current required for starting is 3 * 80A = 240A.
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mona plays a multiplayer video game on the weekends. She joins groups with four other players to complete objectives in the game. The past weekend, she joined 9 groups. One of the groups included two players she had grouped with before tha... | Let's break this down step by step:
1. Mona joined 9 groups this weekend.
2. One of the groups included 2 players she had grouped with before.
3. Another group included 1 player she had grouped with before.
To find the total number of unique players Mona grouped with, we need to consider the players she grouped with ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many... | Let's break this down step by step:
1. Number of yellow flowers = 10
2. Number of purple flowers = 10 + 80% of 10 = 10 + 0.8 * 10 = 10 + 8 = 18
3. Number of green flowers = 25% of (10 + 18) = 0.25 * (28) = 7
4. Total number of flowers = 10 (yellow) + 18 (purple) + 7 (green) = 35
#### Final Answer:
#### 35 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
In Alaska the commercial Cod fishing season runs from January 1 - August 1 lasting exactly 7 months, or 213 days on a non-leap year. Two fishermen are competing against each other to see who can earn more profit. The first fisherman plan... | Let's break this down step by step:
1. Calculate the total number of fish caught by the first fisherman:
- 3 fish/day for 213 days = 3 * 213 = 639 fish
2. Calculate the total number of fish caught by the second fisherman:
- 1 fish/day for the first 30 days = 1 * 30 = 30 fish
- 2 fish/day for the next 60 days... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
There are 480 zombies in the shopping mall. If the number of zombies doubled every day, how many days ago were there less than 50 zombies in the mall? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. We start with 480 zombies.
2. The number of zombies doubles every day.
3. We need to find out how many days ago there were less than 50 zombies.
First, let's calculate the number of zombies after each day:
- After 0 days: 480 zombies
- After 1 day: 480 * 2 = 960 zombies
- After... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Joseph had socks of many different colors. His dresser drawer was filled to overflowing with red, blue, black, and white socks. Uncertain of how many pairs he had of each color, he began to sort his socks. He discovered that he had three m... | Let's break this down step by step:
1. Let \( b \) be the number of pairs of blue socks.
2. Then the number of pairs of black socks is \( b - 1 \).
3. The number of pairs of red socks is \( b - 3 \).
4. The number of pairs of white socks is \( 2(b - 3) \).
We know that the number of red socks is 6, so:
\[ b - 3 = 6 \... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
During one day, there are 4 boat trips through the lake. The boat can take up to 12 people during one trip. How many people can the boat transport in 2 days? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the number of people transported in one day:
- Number of boat trips per day = 4
- People per trip = 12
- Total people transported per day = 4 * 12 = 48
2. Calculate the number of people transported in two days:
- Total days = 2
- Total people transported... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Benjamin went to McDonald's to buy something for dinner. He bought a salad, a burger, and two packs of fries. He paid in total $15. How much did the burger cost, if one pack of fries was for $2 and the salad was three times that price? Let... | Let's break this down step by step:
1. Let the cost of the salad be \( S \).
2. The cost of one pack of fries is $2.
3. The cost of two packs of fries is \( 2 \times 2 = $4 \).
4. The cost of the burger is three times the cost of one pack of fries, so the burger costs \( 3 \times 2 = $6 \).
5. The total cost of the sa... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Scout delivers groceries on the weekends. His base pay is $10.00 an hour. He also earns a $5.00 tip per customer that he delivers groceries to. On Saturday he worked 4 hours and delivered groceries to 5 people. Sunday he worked 5 hours... | Let's break this down step by step:
1. Calculate Scout's base pay for Saturday:
- Hourly pay: $10.00
- Hours worked: 4
- Base pay: $10.00 × 4 = $40.00
2. Calculate Scout's base pay for Sunday:
- Hourly pay: $10.00
- Hours worked: 5
- Base pay: $10.00 × 5 = $50.00
3. Calculate the total number of cu... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Kevin holds the world record for eating the biggest quantity of hot wings in 8 minutes. He can eat 64 wings without stopping. Alan, a boy who loves hot wings, wants to beat Kevin's record. He is currently able to eat 5 hot wings per minut... | Let's break this down step by step:
1. Kevin's record is 64 wings in 8 minutes.
2. Alan is currently eating 5 wings per minute.
3. To beat Kevin's record, Alan needs to eat more than 64 wings in 8 minutes.
4. First, calculate how many wings Alan needs to eat in 8 minutes to beat Kevin's record:
64 wings (Kevin's re... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Michelle loves sugar. She bought 14 chocolate bars, each of which had 10 grams of sugar. She also bought a giant lollipop, which had an additional 37 grams of sugar, plus 190 calories. How many grams of sugar were in all of the candy she b... | Let's break this down step by step:
1. Calculate the total grams of sugar from the chocolate bars:
14 bars * 10 grams/bars = 140 grams
2. Add the grams of sugar from the giant lollipop:
140 grams + 37 grams = 177 grams
So, the total grams of sugar in all the candy Michelle bought is:
#### 177
#### 177 grams | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Stephen made 10 round trips up and down a 40,000 foot tall mountain. If he reached 3/4 of the mountain's height on each of his trips, calculate the total distance he covered. Let's think step by step and output the final answer after "####... | Let's break this down step by step:
1. Calculate the total height Stephen reached on each trip:
3/4 of 40,000 feet = 30,000 feet
2. Since Stephen made 10 round trips, the total height he covered is:
10 trips * 30,000 feet/trip = 300,000 feet
So, the total distance Stephen covered is:
#### 300000 feet
#### 3000... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Three schools organized a science fair competition and invited students from all the schools to develop ideas and present them before a panel of judges selected by all the schools competing in the science fair. There were 50 students from ... | Let's break this down step by step:
1. Number of students from Know It All High School:
50 students
2. Number of students from Karen High:
3/5 times as many as Know It All High School
3/5 * 50 = 30 students
3. Combined number of students from Know It All High School and Karen High:
50 + 30 = 80 students
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The outdoor scouts went on a hike to see a waterfall. To get to the hike, the club members took 3 cars, 6 taxis and 2 vans. There were 4 people in each car, 6 people in each taxis and 5 people in each van. How many people went on the hike?... | Let's break this down step by step:
1. Calculate the total number of people in the cars:
3 cars × 4 people per car = 12 people
2. Calculate the total number of people in the taxis:
6 taxis × 6 people per taxi = 36 people
3. Calculate the total number of people in the vans:
2 vans × 5 people per van = 10 peo... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
While reading in bed with his wife Susan, Charlie heard a noise at the door. It was Sarah entering the bedroom with 4 friends. If there were also 8 people in the living room, how many people are in the house? Let's think step by step and o... | Let's break this down step by step:
1. Charlie is in the bedroom.
2. Sarah is entering the bedroom with 4 friends.
3. There are 8 people in the living room.
4. The total number of people in the house is the sum of Charlie, Sarah, and the people in the living room.
So, the total number of people in the house is:
Charl... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Yvonne brings a box of chocolates to school. Half have nuts and half do not. The students eat 80% of the ones with nuts and eat half of the ones without nuts. If there are 28 chocolates left, how many chocolates were in the box? Let's thin... | Let's break this down step by step:
1. Let the total number of chocolates be \( x \).
2. Half of the chocolates have nuts, so the number of chocolates with nuts is \( \frac{x}{2} \).
3. The other half do not have nuts, so the number of chocolates without nuts is also \( \frac{x}{2} \).
4. The students eat 80% of the c... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tayzia and her two young daughters get haircuts. Women’s haircuts are $48. Children’s haircuts are $36. If Tayzia wants to give a 20% tip to the hair stylist, how much would it be? Let's think step by step and output the final answer af... | Let's break this down step by step:
1. Calculate the total cost of the haircuts:
- Women's haircut: $48
- Children's haircut: $36
- Total cost: $48 + $36 = $84
2. Calculate the tip amount:
- Tip is 20% of the total cost.
- Tip amount = 20% of $84 = 0.20 * $84 = $16.80
#### Final Answer:
#### 16.8 | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Bruce can make 15 batches of pizza dough using a sack of flour. If he uses 5 sacks of flour per day, how many pizza doughs can he make in a week? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to find out how many batches of pizza dough Bruce can make in one day.
- Bruce can make 15 batches using 5 sacks of flour.
2. Next, we need to find out how many batches he can make in a week.
- There are 7 days in a week.
- So, the number of batches in a ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
One logger can cut down 6 trees per day. The forest is a rectangle measuring 4 miles by 6 miles, and each square mile has 600 trees. If there are 30 days in each month, how many months will it take 8 loggers to cut down all the trees? Let'... | Let's break this down step by step:
1. Calculate the total number of trees in the forest:
- The forest is a rectangle measuring 4 miles by 6 miles.
- Each square mile has 600 trees.
- Total trees = 4 miles * 6 miles * 600 trees/mile = 14400 trees.
2. Calculate the total number of trees cut down by 8 loggers ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Lucy has been trying new recipes and wants to make sure she keeps the cupboard stocked with ingredients. She had a 500g bag of flour in the cupboard at the start of the week. She used 240g when she baked cookies on Tuesday, and accidentall... | Let's break this down step by step:
1. Lucy started with 500g of flour.
2. She used 240g on Tuesday, so she had 500 - 240 = 260g left.
3. She spilled half of what was left, so she spilled 260 / 2 = 130g.
4. Now she has 260 - 130 = 130g left.
5. She needs a full bag of flour, which is 500g.
6. She needs to buy 500 - 13... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Kyle has a newspaper-delivery route. Every Monday through Saturday, he delivers the daily paper for the 100 houses on his route. On Sunday, 10 of his customers do not get the Sunday paper, but he delivers 30 papers to other houses that get... | Let's break this down step by step:
1. Calculate the number of papers delivered from Monday to Saturday:
- Kyle delivers to 100 houses each day for 6 days.
- Total papers delivered from Monday to Saturday = 100 houses/day * 6 days = 600 houses.
2. Calculate the number of papers delivered on Sunday:
- 10 of t... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ephraim has two machines that make necklaces for his store. On Sunday the first machine made 45 necklaces. The second machine made 2.4 times as many necklaces as the first machine. How many necklaces were made in total on Sunday? Let's thi... | Let's break this down step by step:
1. The first machine made 45 necklaces.
2. The second machine made 2.4 times as many necklaces as the first machine, which is 2.4 * 45 = 108 necklaces.
3. The total number of necklaces made on Sunday is 45 + 108 = 153 necklaces.
#### Final Answer:
#### 153 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Brandon can catch 6 squirrels or two rabbits in 1 hour. Each squirrel has 300 calories and each rabbit has 800 calories. How many more calories will he get per hour if he catches squirrels instead of rabbits? Let's think step by step and o... | Let's break this down step by step:
1. Calculate the number of squirrels Brandon can catch in 1 hour:
6 squirrels/hour
2. Calculate the number of rabbits Brandon can catch in 1 hour:
2 rabbits/hour
3. Calculate the total calories Brandon gets from catching squirrels:
6 squirrels * 300 calories/squirrel = 18... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Leila eats cake almost every week. Last week, she ate 6 cakes on Monday, 9 cakes on Friday, and on Saturday, she ate triple the number of cakes she ate on Monday. How many cakes does Leila eat? Let's think step by step and output the final... | Let's break this down step by step:
1. Leila eats 6 cakes on Monday.
2. She eats 9 cakes on Friday.
3. On Saturday, she eats triple the number of cakes she ate on Monday, which is 3 * 6 = 18 cakes.
Now, let's add up the cakes eaten so far:
6 (Monday) + 9 (Friday) + 18 (Saturday) = 33 cakes
#### Final Answer:
#### 33... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A mother duck as 8 ducklings. The first 3 ducklings find 5 snails each. Another 3 ducklings find 9 snails each, and the remaining ducklings each find half the number of snails that mother duck finds. If mother duck finds tree times the tot... | Let's break this down step by step:
1. The first 3 ducklings find 5 snails each, so they find a total of \(3 \times 5 = 15\) snails.
2. The next 3 ducklings find 9 snails each, so they find a total of \(3 \times 9 = 27\) snails.
3. The remaining 5 ducklings find half the number of snails that mother duck finds. Since ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John's car gets 30 mpg. He drives 20 miles to work each way 5 days a week. He also drives another 40 miles a week for leisure travel. How many gallons of gas does he use a week? Let's think step by step and output the final answer after ... | Let's break this down step by step:
1. Calculate the total distance John drives to work in a week:
- Distance to work each way = 20 miles
- Number of workdays per week = 5
- Total distance to work = 20 miles/way × 2 ways/day × 5 days/week = 200 miles/week
2. Add the distance for leisure travel:
- Leisure ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John starts a TV show. He pays $1000 per episode for the first half of the season. The second half of the season had episodes that cost 120% more expensive. If there are 22 episodes how much did the entire season cost? Let's think step ... | Let's break this down step by step:
1. The total number of episodes is 22.
2. The first half of the season has 11 episodes.
3. Each of the first half episodes costs $1000.
4. The second half of the season has 11 episodes.
5. Each of the second half episodes costs 120% more than $1000, which is $1000 * 1.20 = $1200.
6.... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Sara makes cakes during the five weekdays to sell on weekends. She makes 4 cakes a day and sells her cakes for $8. In 4 weeks she managed to sell all the cakes. How much money did she collect during that time? Let's think step by step and ... | Let's break this down step by step:
1. Calculate the total number of cakes made in 4 weeks:
5 weekdays / 5 days/week = 1 week
1 week * 4 cakes/week = 4 cakes
2. Calculate the total revenue:
4 cakes * $8/cake = $32
So, the total amount of money Sara collected is:
#### 32
#### 32 dollars | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Brian can only hold his breath underwater for 10 seconds. He wants to get better, so he starts practicing. After a week, he's doubled the amount of time he can do it. After another week, he's doubled it again from the previous week. Th... | Let's break this down step by step:
1. Initial time = 10 seconds
2. After the first week:
- Time doubled = 10 * 2 = 20 seconds
3. After the second week:
- Time doubled again = 20 * 2 = 40 seconds
4. After the third week:
- Time increased by 50% = 40 * 1.5 = 60 seconds
So, the final answer is:
#### 60 seco... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Miles is a musician. He owns three fewer trumpets than he has fingers, and two more guitars than he has hands. He also owns two more trombones than he has heads, and one fewer French horn than he has guitars. What is the total number of... | Let's break this down step by step:
1. Miles has 10 fingers.
2. He has 2 hands, so he owns 10 - 2 = 8 guitars.
3. He has 2 heads, so he owns 2 + 2 = 4 feet.
4. He owns 8 + 4 = 12 trumpets.
5. He has 1 head, so he owns 1 + 1 = 2 horns.
6. He has 8 - 1 = 7 guitars.
7. He has 2 more trombones than he has heads, so he own... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jamie collects glass balls. He had 16 red balls and two times more blue balls. Later on, he lost 6 of the red balls, so he decided to buy some yellow balls to fill up his collection. How many yellow balls did he buy if, after all, he had 7... | Let's break this down step by step:
1. Jamie initially had 16 red balls.
2. He had two times more blue balls than red balls, so he had \(2 \times 16 = 32\) blue balls.
3. After losing 6 red balls, he had \(16 - 6 = 10\) red balls left.
4. The total number of balls after losing the red balls is \(10 + 32 = 42\) balls.
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The town is having a race to see who can run around the town square 7 times the fastest. The town square is 3/4 of a mile long. The winner finishes the race in 42 minutes. Last year's winner finished in 47.25 minutes. How many minutes on a... | Let's break this down step by step:
1. Calculate the total distance run by the winner this year:
7 miles * 42 minutes/mile = 294 minutes
2. Calculate the total distance run by the winner last year:
7 miles * 47.25 minutes/mile = 320.75 minutes
3. Calculate the difference in time per mile:
320.75 minutes - 4... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
10 boxes each contain 50 bottles of water. Each bottle has a capacity of 12 liters and is filled up to 3/4 of its capacity. How many liters of water altogether are contained within the bottles in the boxes? Let's think step by step and o... | Let's break this down step by step:
1. Calculate the total number of bottles:
10 boxes * 50 bottles/box = 500 bottles
2. Calculate the total capacity of the bottles:
500 bottles * 12 liters/bottle = 6000 liters
3. Calculate the total capacity of the bottles when filled to 3/4 of its capacity:
500 bottles * ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John skateboarded for 10 miles and then walked another 4 miles to the park. He then skated all the way back home. How many miles has John skateboarded in total? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. John skateboarded for 10 miles.
2. John walked 4 miles to the park.
3. John skated all the way back home, which is the same distance he skateboarded, so he skated an additional 10 miles.
Now, let's add up all the distances:
10 miles (skateboarded) + 4 miles (walked) + 10 miles (... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mr. Martinez is two feet taller than his daughter, Chiquita. If Chiquita is 5 feet tall, calculate their combined height. Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Chiquita's height is 5 feet.
2. Mr. Martinez is two feet taller than Chiquita, so Mr. Martinez's height is 5 + 2 = 7 feet.
3. Their combined height is 5 + 7 = 12 feet.
#### Final Answer:
#### 12 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Adam has three more than twice as many tattoos as Jason has. If Jason has two tattoos on each of his arms and three tattoos on each of his legs, how many tattoos does Adam have? Let's think step by step and output the final answer after "... | Let's break this down step by step:
1. Determine the number of tattoos Jason has:
- Jason has 2 tattoos on each of his arms.
- Jason has 2 * 2 = 4 arms.
- Jason has 3 tattoos on each of his legs.
- Jason has 3 * 2 = 6 legs.
- Total tattoos Jason has = 4 + 6 = 10 tattoos.
2. Determine the number of tatt... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Gumball was counting his water intake for the previous week. He checked his list and saw that he had drank 60 liters of water for the week. He drank nine liters of water on Monday, Thursday and Saturday and 8 liters of water on Tuesday, Fr... | Let's break this down step by step:
1. Total water intake for the week: 60 liters
2. Water intake on Monday, Thursday, and Saturday: 9 liters each
9 + 9 + 9 = 27 liters
3. Water intake on Tuesday, Friday, and Sunday: 8 liters each
8 + 8 + 8 = 24 liters
4. Water intake from Monday to Saturday: 27 liters
5. Water ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A case of water contains 24 bottles. A children's camp comprising of 4 groups purchased 13 cases for a 3-day camp. The first group has 14 children, the second group has 16 children, the third group has 12 children, and the fourth group has... | Let's break this down step by step:
1. Calculate the total number of children:
- First group: 14 children
- Second group: 16 children
- Third group: 12 children
- Fourth group: (14 + 16 + 12) / 2 = 42 / 2 = 21 children
2. Calculate the total number of bottles needed:
- Each child consumes 3 bottles a d... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Nancy takes 3 antacids per day when she eats Indian food, 2 antacids per day when she eats Mexican food, and 1 antacid per day otherwise. If Nancy eats Indian three times a week and Mexican twice a week, how many antacids does she take per... | Let's break this down step by step:
1. Calculate the number of antacids Nancy takes per week:
- Indian food: 3 times a week × 3 antacids = 9 antacids
- Mexican food: 2 times a week × 2 antacids = 4 antacids
- Other foods: 7 times a week × 1 antacid = 7 antacids
- Total per week: 9 + 4 + 7 = 20 antacids
2.... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The city is holding its annual rubber duck race for charity. The regular size rubber ducks are $3.00 each and the large size rubber duck is $5.00 each. All of the rubber ducks will be dropped into the river at the same time and the first... | Let's break this down step by step:
1. Calculate the total revenue from regular size ducks:
221 ducks * $3.00 per duck = $663
2. Calculate the total revenue from large size ducks:
185 ducks * $5.00 per duck = $925
3. Add the two amounts together to get the total revenue:
$663 + $925 = $1588
#### Final Answ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Lizzy has to ship 540 pounds of fish that are packed into 30-pound crates. If the shipping cost of each crate is $1.5, how much will Lizzy pay for the shipment? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the number of 30-pound crates needed:
540 pounds / 30 pounds/crate = 18 crates
2. Calculate the total shipping cost:
18 crates * $1.5/crate = $27
So, Lizzy will pay $27 for the shipment.
#### Final Answer:
#### 27 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
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? Let'... | Let's break this down step by step:
1. The top level has 64 books.
2. Each level has 80% as many books as the previous level.
3. So, the second level has \( 64 \times 0.8 = 51.2 \) books.
4. The third level has \( 51.2 \times 0.8 = 40.96 \) books.
5. The fourth level has \( 40.96 \times 0.8 = 32.768 \) books.
Now, le... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Bill needs to soak his clothes for 4 minutes to get rid of each grass stain and 7 additional minutes to get rid of each marinara stain. If his clothes have 3 grass stains and 1 marinara stain, how long does he need to soak them? Let's thin... | Let's break this down step by step:
1. Calculate the total time for the grass stains:
3 grass stains * 4 minutes per stain = 12 minutes
2. Calculate the total time for the marinara stain:
1 marinara stain * 7 minutes per stain = 7 minutes
3. Add the two times together to get the total soaking time:
12 minut... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Vicente bought 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is $2 and a pound of meat is $5. How much did Vicente spend in total? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the cost of the rice:
5 kilograms of rice at $2 per kilogram = 5 * 2 = $10
2. Calculate the cost of the meat:
3 pounds of meat at $5 per pound = 3 * 5 = $15
3. Add the two amounts together to get the total cost:
$10 + $15 = $25
#### Final Answer:
#### 25 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mike wants to buy a new phone. The cost of the phone is $1300. How much more money does Mike need if he already has 40% of the amount he needs? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate 40% of the phone cost:
\( 1300 \times 0.40 = 520 \)
2. Subtract the amount Mike already has from the total cost:
\( 1300 - 520 = 780 \)
Mike needs an additional $780.
#### Final Answer:
#### 780 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Arthur wants to sell his basketball card collection and use the money to buy comic books. The store owner tells him that each card is worth 5 cents and comic books cost $6 each. If Arthur sells all 2,000 cards of his and buys as many comic... | Let's break this down step by step:
1. Calculate the total value of the basketball cards:
2000 cards * $0.05/card = $100
2. Determine how many comic books Arthur can buy with $100:
$100 / $6/card = 16.67 cards
3. Calculate the total cost of the comic books:
16.67 cards * $6/card = $99.92
4. Calculate the l... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jessica has one hour to take an exam. She has answered 16 out of 80 questions. She has used 12 minutes of her time. If she keeps up this same pace, how many minutes will be left when she finishes the exam? Let's think step by step and outp... | Let's break this down step by step:
1. Determine the rate at which Jessica answers questions:
- Jessica answered 16 questions out of 80 in 12 minutes.
- The rate is \( \frac{16}{12} = \frac{4}{3} \) questions per minute.
2. Calculate the total number of questions Jessica will answer in the remaining time:
- ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jill makes scented candles as a hobby. Her favorite scents are lavender, coconut, and almond, and she uses the same amount of each scent for every candle. This time, she made twice as many lavender candles as coconut candles, along with a ... | Let's break this down step by step:
1. Let \( C \) be the number of coconut candles.
2. Jill made twice as many lavender candles as coconut candles, so the number of lavender candles is \( 2C \).
3. She also made a batch of almond candles, so the number of almond candles is \( A = 1.5A \), but we don't need this infor... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
To get to the library, Jill spends 12 minutes waiting for her first bus, 30 minutes riding on her first bus, and half the combined wait and trip time on her second bus. How many minutes does her second bus ride take? Let's think step by st... | Let's break this down step by step:
1. Jill spends 12 minutes waiting for her first bus.
2. She spends 30 minutes riding on her first bus.
3. The combined wait and trip time for her first bus is 12 + 30 = 42 minutes.
4. She spends half of the combined wait and trip time on her second bus, so the second bus ride time i... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
If Mr. Jones has 6 shirts for every pair of pants, and he has 40 pants, what's the total number of pieces of clothes he owns if all other factors remain the same? Let's think step by step and output the final answer after "####".
assistant... | Let's break this down step by step:
1. Determine the number of shirts:
Mr. Jones has 6 shirts for every pair of pants.
He has 40 pants.
So, the number of shirts = 6 * 40 = 240 shirts.
2. Calculate the total number of pieces of clothes:
Each shirt is paired with one pair of pants.
So, the total number o... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A carnival snack booth made $50 selling popcorn each day. It made three times as much selling cotton candy. For a 5-day activity, the booth has to pay $30 rent and $75 for the cost of the ingredients. How much did the booth earn for 5 days... | Let's break this down step by step:
1. Calculate the daily earnings from popcorn:
$50
2. Calculate the daily earnings from cotton candy:
$50 * 3 = $150
3. Calculate the total daily earnings:
$50 (popcorn) + $150 (cotton candy) = $200 per day
4. Calculate the total earnings for 5 days:
$200/day * 5 days ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Eliza has 4 siblings. The total height of all 5 siblings combined is 330 inches. Two of her siblings are both 66 inches tall. Another sibling is 60 inches tall. If Eliza is 2 inches shorter than the last sibling, how tall is Eliza? Let's t... | Let's break this down step by step:
1. The total height of all 5 siblings is 330 inches.
2. Two of the siblings are 66 inches each.
3. Another sibling is 60 inches tall.
4. Eliza is 2 inches shorter than the last sibling.
First, we calculate the total height of the two 66-inch siblings:
\[ 66 + 66 = 132 \text{ inches... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
James has five huskies, two pitbulls and four golden retrievers, all female. They became pregnant and each golden retriever had two more pups than each husky. If the huskies and pitbulls had 3 pups each, How many more pups than adult dogs ... | Let's break this down step by step:
1. Determine the number of pups each type of dog had:
- Each husky had 3 pups.
- Each pitbull had 3 pups.
- Each golden retriever had 3 + 2 = 5 pups.
2. Calculate the total number of pups:
- Total pups = 5 huskies × 3 pups/husky + 2 pitbulls × 3 pups/pitbull + 4 golden ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John buys 20 hours of music a month. The average length of a song is 3 minutes. He buys each song for $.50. How much does he pay for music a year? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total number of songs John buys in a month:
20 hours = 20 / 60 = 1/3 of a song per month
2. Calculate the total number of songs John buys in a year:
1/3 song/month * 12 months/year = 4 songs/year
3. Calculate the total cost of the songs in a year:
4 songs... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Lemuel is a basketball player. In one of the games, he made 2-point shots 7 times. He also made 3-points shots thrice. How many points, in total, did he make in that game? Let's think step by step and output the final answer after "####".
... | Let's break this down step by step:
1. Calculate the points from 2-point shots:
Lemuel made 2-point shots 7 times, and each shot is worth 2 points.
So, the points from 2-point shots are 7 * 2 = 14 points.
2. Calculate the points from 3-point shots:
Lemuel made 3-point shots 3 times, and each shot is worth 3 ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Hannah wants to save $80 for five weeks. In the first week, she saved $4 and she plans to save twice as much as her savings as the previous week. How much will she save in the fifth week to reach her goal? Let's think step by step and outp... | Let's break this down step by step:
1. In the first week, Hannah saved $4.
2. In the second week, she saved twice as much as the first week, which is $4 * 2 = $8.
3. In the third week, she saved twice as much as the second week, which is $8 * 2 = $16.
4. In the fourth week, she saved twice as much as the third week, w... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
To get his fill of oysters, Crabby has to eat at least twice as many oysters as Squido does. If Squido eats 200 oysters, how many oysters do they eat altogether? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Let's denote the number of oysters Squido eats as S.
2. According to the problem, Squido eats 200 oysters, so S = 200.
3. Crabby has to eat at least twice as many oysters as Squido, so Crabby eats 2S oysters.
4. The total number of oysters they eat altogether is S + 2S = 3S.
5. S... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Joan has 180 socks. Two thirds of the socks are white, and the rest of the socks are blue. How many blue socks does Joan have? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to find out how many white socks Joan has. Two thirds of the socks are white, so:
180 socks * 2/3 = 120 white socks
2. Next, we need to find out how many blue socks Joan has. Since the total number of socks is 180 and we know the number of white socks, we can s... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Helga went shopping for a new pair of shoes. At the first store, she tried on 7 pairs of shoes. At the second store, she tried on 2 more pairs than at the first store. At the third store, she did not try on any shoes, but she did buy a sca... | Let's break this down step by step:
1. At the first store, Helga tried on 7 pairs of shoes.
2. At the second store, she tried on 2 more pairs than at the first store, so she tried on \(7 + 2 = 9\) pairs.
3. At the third store, she did not try on any shoes, so she tried on 0 pairs.
4. At the fourth store, she tried on ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jorge bought 24 tickets for $7 each. For purchasing so many, he is given a discount of 50%. How much, in dollars, did he spend on tickets? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Calculate the total cost of the tickets before the discount:
24 tickets * $7/ticket = $168
2. Calculate the discount amount:
50% of $168 = 0.50 * $168 = $84
3. Subtract the discount from the total cost to get the final amount spent:
$168 - $84 = $84
So, Jorge spent $8... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Paul eats a lot when he studies. He loves sandwiches and eats them at the same rate every three days. He eats 2 sandwiches the first day, then doubles that number of sandwiches for the second day. On the third day, he doubles the number of... | Let's break this down step by step:
1. In the first three days, Paul eats:
- Day 1: 2 sandwiches
- Day 2: 2 * 2 = 4 sandwiches
- Day 3: 4 * 2 = 8 sandwiches
2. So, in the first three days, Paul eats a total of:
2 + 4 + 8 = 14 sandwiches
3. If Paul studied for 6 days in a row, he would eat:
14 * 6 = 84... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Madison and Gigi have to run a total of 2400 meters in gym class. The track is 150 meters around. If they each have run 6 laps, how many more laps do they have to run before they reach 2400 meters? Let's think step by step and output the f... | Let's break this down step by step:
1. Calculate the total distance run by Madison and Gigi:
- Each has run 6 laps, so together they have run \(6 + 6 = 12\) laps.
- The total distance is 2400 meters, so they have run \(2400 - 12 \times 150 = 2400 - 1800 = 600\) meters.
2. Determine how many more laps they need ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Today Geoff bought 2 pairs of sneakers and spent $60 equally between the two. Tomorrow, he's going to spend 4 times as much on sneakers than he did on Monday. Wednesday, he'll spend 5 times as much on sneakers than he did on Monday. How mu... | Let's break this down step by step:
1. **Monday's Spending:**
- Geoff bought 2 pairs of sneakers.
- He spent $60 equally between the two.
- Each pair cost $60 / 2 = $30.
- So, Monday's total cost = $30 + $30 = $60.
2. **Tuesday's Spending:**
- Tomorrow, he'll spend 4 times as much as Monday.
- So, T... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Jasmine wants to organize her books in order of most number of pages to least number of pages. Jasmine's longest book has 396 pages and her shortest book has one-fourth as many pages as the longest. If the book in the middle of her shelf h... | Let's break this down step by step:
1. The longest book has 396 pages.
2. The shortest book has one-fourth as many pages as the longest book, so it has \( \frac{396}{4} = 99 \) pages.
3. The middle book has three times the number of pages of the shortest book, so it has \( 99 \times 3 = 297 \) pages.
#### Final Answe... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Alani earned $45 for 3 hours of baby-sitting. At the same rate, for how many hours would she need to baby-sit to earn $75? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to find out how much Alani earns per hour for baby-sitting.
Alani earned $45 in 3 hours, so her earnings per hour are $45 / 3 = $15 per hour.
2. Next, we need to find out how many hours she needs to baby-sit to earn $75.
If she earns $15 per hour, then to ea... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
One barnyard owl makes 5 hoot sounds per minute. If 5 less than 20 hoots per minute are heard coming out of the barn, how many Barnyard owls would this noise be coming from? Let's think step by step and output the final answer after "####... | Let's break this down step by step:
1. Determine the total number of hoots heard per minute:
20 hoots per minute + 5 hoots less than 20 hoots = 25 hoots per minute.
2. Calculate the number of hoots made by one barnyard owl per minute:
5 hoots per minute.
3. Determine how many owls make 25 hoots per minute:
... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Sheena is sewing the bridesmaid’s dresses for her sister’s wedding. She can sew one dress in 12 hours. There are 5 bridesmaids in the wedding. If Sheena sews the dresses 4 hours each week, how many weeks will it take her to complete them? ... | Let's break this down step by step:
1. Sheena can sew one dress in 12 hours.
2. There are 5 bridesmaids.
3. Sheena sews 4 hours each week.
4. To find out how many weeks it will take her to complete the dresses, we need to calculate the total time required and then divide by the number of hours she sews each week.
Tot... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
If one Burmese python can eat one 50-cm alligator per week, how many Burmese pythons would it take to eat fifteen 50-centimeter alligators in three weeks? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, we need to find out how many 50-centimeter alligators one Burmese python can eat in one week.
- One Burmese python eats 50 cm alligators per week.
2. Next, we need to find out how many 50-centimeter alligators one Burmese python can eat in three weeks.
- In three we... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mckenna starts her day at 8:00 a.m. She works in her office up to 11:00 a.m. then joins her team of developers at the conference room to talk about projects up to 13:00, from which she works for another two hours and then heads home. How m... | Let's break this down step by step:
1. Mckenna starts her day at 8:00 a.m.
2. She works in her office from 11:00 a.m. to 1:00 p.m.
3. She then joins her team at the conference room from 1:00 p.m. to 3:00 p.m.
4. From 3:00 p.m. to 11:00 a.m., she works for 8 hours.
5. After 11:00 a.m., she works for another 2 hours.
6.... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Carlos read 28 books in July and 30 books in August. He needed to read 100 books during his summer vacation. If Carlos read some of the books in June, calculate the number of books that Carlos read in June to meet his goal? Let's think st... | Let's break this down step by step:
1. Carlos read 28 books in July and 30 books in August.
So, the total number of books he read in July and August is 28 + 30 = 58 books.
2. Carlos needed to read 100 books during his summer vacation.
The number of books he needs to read in June is 100 - 58 = 42 books.
Therefo... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After t... | Let's break this down step by step:
1. Calculate the total amount of money in the jar before the trip:
- Pennies: 123
- Nickels: 85
- Dimes: 35
- Quarters: Let's call the number of quarters \( Q \)
- Total = 123 + 85 + 35 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.25 + 0.2... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
An unusual bicycle has 20 spokes on the front wheel and twice as many spokes on the back wheel. How many spokes does the bicycle have? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. The front wheel has 20 spokes.
2. The back wheel has twice as many spokes as the front wheel, so it has 20 * 2 = 40 spokes.
3. The total number of spokes is the sum of the spokes on the front wheel and the back wheel, which is 20 + 40 = 60 spokes.
#### Final Answer:
#### 60 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Brianne saves $10 in January. Each month, she saves twice as much as her previous month's savings. How much will she save in May? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. In January, Brianne saves $10.
2. In February, she saves twice as much as in January, which is $10 * 2 = $20.
3. In March, she saves twice as much as in February, which is $20 * 2 = $40.
4. In April, she saves twice as much as in March, which is $40 * 2 = $80.
5. In May, she save... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A garden produced 237 potatoes, 60 fewer cucumbers and twice as many peppers than the cucumbers. How many vegetables did the garden produce? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Number of potatoes: 237
2. Number of cucumbers: 237 - 60 = 177
3. Number of peppers: 2 * 177 = 354
Now, let's add up all the vegetables:
237 (potatoes) + 177 (cucumbers) + 354 (peppers) = 768
#### Final Answer:
#### 768 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Every time Janet folds her blanket its thickness doubles. If it starts out 3 inches thick, how thick will it be after 4 foldings? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Initial thickness: 3 inches
2. After the first folding, the thickness doubles: 3 inches * 2 = 6 inches
3. After the second folding, the thickness doubles again: 6 inches * 2 = 12 inches
4. After the third folding, the thickness doubles again: 12 inches * 2 = 24 inches
5. After th... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tim owns rental properties. He decides to replace all the locks and needs to get 3 keys per lock. He owns two apartment complexes which each have 12 apartments. How many keys does he need to make? Let's think step by step and output the... | Let's break this down step by step:
1. Calculate the total number of apartments:
- Tim owns 2 apartment complexes.
- Each complex has 12 apartments.
- So, the total number of apartments is \(2 \times 12 = 24\).
2. Calculate the total number of locks needed:
- Tim needs 3 keys per lock.
- So, the total ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Kevin has a shoebox filled with toads. Every day, Kevin feeds each toad 3 worms. It takes Kevin 15 minutes to find each worm. If it takes Kevin 6 hours to find enough worms to feed all of his toads, how many toads does Kevin have in his... | Let's break this down step by step:
1. Determine the total number of worms Kevin finds in 6 hours.
- 6 hours = 6 × 60 = 360 minutes
2. Calculate the total number of worms Kevin feeds to all his toads.
- Each toad gets 3 worms, and there are 360 worms in total.
- Number of toads = 360 ÷ 3 = 120 toads
3. Veri... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
At the beginning of an academic year, there were 15 boys in a class and the number of girls was 20% greater. Later in the year, transfer students were admitted such that the number of girls doubled but the number of boys remained the same.... | Let's break this down step by step:
1. Determine the initial number of girls:
- Number of boys = 15
- Number of girls = 15 + (15 * 20%) = 15 + 3 = 18
2. The number of boys remains the same, so there are still 15 boys.
3. The number of girls doubled:
- New number of girls = 18 * 2 = 36
4. Total number of st... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
John has a raw squat of 600 pounds without sleeves or wraps. Sleeves add 30 pounds to his lift. Wraps add 25% to his squat. How much more pounds does he get out of wraps versus sleeves. Let's think step by step and output the final answ... | Let's break this down step by step:
1. John's raw squat without sleeves or wraps is 600 pounds.
2. Sleeves add 30 pounds to his lift.
3. Wraps add 25% to his squat.
First, let's calculate the total weight after adding the sleeves:
\[ 600 + 30 = 630 \text{ pounds} \]
Next, let's calculate the total weight after addin... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A group of bedbugs infested an old mattress. Every day, the number of bedbugs would triple. After four days, there were 810 bedbugs burrowing into the mattress. How many bedbugs did the group start with? Let's think step by step and output... | Let's break this down step by step:
1. Let the initial number of bedbugs be \( x \).
2. After 1 day, the number of bedbugs will be \( 3x \).
3. After 2 days, the number of bedbugs will be \( 3 \times 3x = 9x \).
4. After 3 days, the number of bedbugs will be \( 3 \times 9x = 27x \).
5. After 4 days, the number of bedb... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
There are 12 crates that each contain 150 oranges. There are 16 boxes that each hold 30 nectarines. How many pieces of fruit are in the crates and the boxes in total? Let's think step by step and output the final answer after "####".
assis... | Let's break this down step by step:
1. Calculate the total number of oranges:
12 crates * 150 oranges/crate = 1800 oranges
2. Calculate the total number of nectarines:
16 boxes * 30 nectarines/box = 480 nectarines
3. Add the total number of oranges and nectarines to get the total number of pieces of fruit:
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Ashton had two boxes of pencils with fourteen pencils in each box. He gave six pencils to his brother. How many pencils did Ashton have left? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. First, calculate the total number of pencils Ashton had initially:
2 boxes * 14 pencils per box = 28 pencils
2. Then, subtract the number of pencils he gave to his brother:
28 pencils - 6 pencils = 22 pencils
So, Ashton had 22 pencils left.
#### Final Answer:
#### 22 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Malcolm works in a company where they normally pack 40 apples in a box, producing 50 full boxes per day. Operations went as normal in one week. But in the next week, they packed 500 fewer apples per day. What's the total number of apples p... | Let's break this down step by step:
1. Calculate the total number of apples packed in the first week:
- Normal production per day: 50 boxes
- Total production per day: 50 * 40 = 2000 apples
- Total production for 7 days: 2000 * 7 = 14000 apples
2. Calculate the total number of apples packed in the second wee... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Kimberly went strawberry picking with her family over the weekend. She picked 8 times the amount of strawberries her brother picked and her parents picked 93 strawberries less than her. If her brother picked 3 baskets each containing 15 st... | Let's break this down step by step:
1. Determine how many strawberries Kimberly's brother picked:
3 baskets * 15 strawberries/basket = 45 strawberries
2. Calculate the total number of strawberries picked by Kimberly and her family:
45 strawberries (brother) + 8 * 45 strawberries (Kimberly's brother) + 93 strawb... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Mark buys a Magic card for $100, which then triples in value. How much profit would he make selling it? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Initial cost of the Magic card: $100
2. Value of the card after tripling: $100 * 3 = $300
3. Profit is calculated as the difference between the value and the initial cost: $300 - $100 = $200
So, the profit Mark would make is $200.
#### Final Answer:
#### 200 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Clive is buying olives for dinner. He has $10 to spend and needs 80 olives. A jar of 20 olives costs $1.50. How much change will Clive have when he buys what he needs? Let's think step by step and output the final answer after "####".
assi... | Let's break this down step by step:
1. Calculate the total cost of 80 olives:
80 olives / 20 olives/jar = 4 jars
Cost of 4 jars = 4 jars * $1.50/jar = $6.00
2. Calculate the change Clive will have after buying 80 olives:
Clive has $10
Change = $10 - $6 = $4.00
So, the final answer is:
#### 4
#### 4 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
At the polar bear club, Jerry and his three friends, Elaine, George, and Kramer, took turns jumping into a swimming pool filled with freezing-cold water. Jerry was in the pool for 3 minutes before becoming too cold to remain in the cold w... | Let's break this down step by step:
1. Jerry was in the pool for 3 minutes.
2. Elaine stayed in the pool for twice as long as Jerry, so Elaine stayed in the pool for \(2 \times 3 = 6\) minutes.
3. George stayed in the pool for one-third as long as Elaine, so George stayed in the pool for \(\frac{6}{3} = 2\) minutes.
4... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tara has a shoebox that is 4 inches tall and 6 inches wide. She puts a square block inside that is 4 inches per side. How many square inches of the box are left uncovered? Let's think step by step and output the final answer after "####".
... | Let's break this down step by step:
1. Calculate the area of the shoebox:
\[
\text{Area of the shoebox} = 4 \text{ inches} \times 6 \text{ inches} = 24 \text{ square inches}
$$
2. Calculate the area of the square block:
\[
\text{Area of the square block} = 4 \text{ inches} \times 4 \text{ inches} = 16 ... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Tino has 24 more jellybeans than Lee. Arnold has half as many jellybeans as Lee. If Arnold has 5 jellybeans, how many jellybeans does Tino have? Let's think step by step and output the final answer after "####".
assistant
| Let's break this down step by step:
1. Let the number of jellybeans Lee has be \( L \).
2. According to the problem, Arnold has half as many jellybeans as Lee, so Arnold has \( \frac{L}{2} \) jellybeans.
3. We are given that Arnold has 5 jellybeans, so \( \frac{L}{2} = 5 \).
4. Solving for \( L \), we get \( L = 10 \)... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Lillian is making chocolate cupcakes to sell at a fundraiser. She only has 3 cups of sugar at home. She goes to the store and buys 2 bags of sugar. Each bag of sugar contains 6 cups. The batter uses 1 cup of sugar per 12 cupcakes. She need... | Let's break this down step by step:
1. Lillian starts with 3 cups of sugar.
2. She buys 2 bags of sugar, and each bag contains 6 cups, so she buys a total of 2 * 6 = 12 cups of sugar.
3. After buying the sugar, she has 3 + 12 = 15 cups of sugar.
4. Each dozen cupcakes requires 1 cup of sugar, so she can make 15 / 1 = ... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
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 ... | Let's break this down step by step:
1. Determine how many pencils Jenine needs in total.
- She needs 105 hours of writing.
- She can sharpen a pencil 5 times before it runs out.
- So, the total number of pencils needed is \( \frac{105}{5} = 21 \) pencils.
2. Determine how many more pencils she needs to buy.
... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
It is raining outside and Bill puts his empty fish tank in his yard to let it fill with rainwater. It starts raining at 1 pm. 2 inches of rainfall in the first hour. For the next four hours, it rains at a rate of 1 inch per hour. It then r... | Let's break this down step by step:
1. The fish tank is 18 inches tall.
2. It starts raining at 1 pm.
3. In the first hour, it rains 2 inches.
4. For the next four hours, it rains 1 inch per hour.
5. After four hours, it rains for 3 hours at 3 inches per hour.
First hour: 2 inches
Next four hours: 4 hours * 1 inch/ho... | 0 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Marcel goes to the store with Dale to buy groceries for cooking dinner. Marcel buys 10 ears of corn, and Dale buys half that amount. Dale buys 8 potatoes and Marcel buys some, too. If they check out together and end up buying 27 vegetables... | Let's break this down step by step:
1. Marcel buys 10 ears of corn.
2. Dale buys half that amount, so Dale buys 10 / 2 = 5 ears of corn.
3. Dale also buys 8 potatoes.
4. Together, they buy 10 (Marcel's corn) + 5 (Dale's corn) + 8 (Dale's potatoes) = 23 vegetables.
5. They end up buying 27 vegetables in total.
6. There... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Shelly makes braided keychains for her friends at school. Each keychain takes 12 inches of thread to braid. This year, she made six friends in classes and half that number from after-school clubs. She wants to make each of them a keychain.... | Let's break this down step by step:
1. Shelly made 6 friends in classes.
2. She made half that number from after-school clubs, so she made \(6 / 2 = 3\) friends from after-school clubs.
3. The total number of friends is \(6 + 3 = 9\).
4. Each keychain requires 12 inches of thread.
5. Shelly needs to make 9 keychains.
... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
The girl scouts earned $30 total from selling delicious cookies. They want to go to the pool. It will cost them $2.50 per person to go and 10 people are going. What is the amount left? Let's think step by step and output the final answer a... | Let's break this down step by step:
1. Calculate the total cost for 10 people to go to the pool:
$2.50 per person * 10 people = $25
2. Subtract the total cost from the total earnings:
$30 total earnings - $25 cost = $5 left
#### Final Answer:
#### 5 | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
Solomon collected three times as many cans as Juwan. Levi collected half of what Juwan collected. Solomon collected 66 cans. How many cans did the boys collect in all? Let's think step by step and output the final answer after "####".
assi... | Let's break this down step by step:
1. Let the number of cans Juwan collected be \( J \).
2. According to the problem, Solomon collected three times as many cans as Juwan, so Solomon collected \( 3J \) cans.
3. The problem also states that Solomon collected 66 cans, so we can write the equation: \( 3J = 66 \).
4. Solv... | 1 |
system
You are Qwen, created by Alibaba Cloud. You are a helpful assistant.
user
A bead shop sells one set of crystal beads at $9 each and one set of metal beads at $10 each. Nancy buys one set of crystal beads and two sets of metal beads. How much does she spend in all? Let's think step by step and output the final an... | Let's break this down step by step:
1. Cost of one set of crystal beads: $9
2. Cost of two sets of metal beads: 2 * $10 = $20
Total cost:
$9 + $20 = $29
#### Final Answer:
#### 29 | 1 |
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