Problem: Steve started with 38 dollars and spent it evenly over 8 days. Then he received an extra 11 dollars. John started with 18 dollars but then he spent the same amount of money as Steve had. John found 25 dollars on the street. How much money does John have now?

Llama 3 70B:

Reasoning: Steve spent 38 dollars over 8 days, so he spent 38/8 = 4.75 dollars per day.
John spent the same amount of money as Steve had, so John spent 38 dollars.
John started with 18 dollars and spent 38 dollars, so he had 18 - 38 = -20 dollars.
Then, John found 25 dollars on the street, so he now has -20 + 25 = 5 dollars.
### Answer: 5

Expected answer: 109/4

Correct? No

Problem: You have $45 in your wallet. You find a coin on the street worth $27/30. How much money do you have in total?

Llama 3 70B:

Reasoning: The coin is worth $27/30, which is equivalent to $0.90 (since $27 ÷ $30 = 0.90).
I already have $45 in my wallet, and I found a coin worth $0.90, so I now have a total of $45 + $0.90 = $45.90.
### Answer: $45.90

Expected answer: 459/10

Correct? No

Problem: John has $17 in his bank account. He finds a loose change on his desk that amounts to $8/37. How much money does he have in total?

Llama 3 70B:

Reasoning: To find the total amount of money John has, we need to add the amount he already had in his bank account to the amount of loose change he found.

First, let's convert the fraction $8/37 to a decimal: $8/37 ≈ 0.22

Now, we can add the two amounts together:
$17 + $0.22 = $17.22

### Answer: $17.22

Expected answer: 637/37

Correct? No

Problem: Sally wants to measure the distance of her bike route. Initially, she hesitates and travels only 47/50 of a mile. Then, she gains confidence and rides another 31 miles. Every day for the next 28 days, she completes the same distance. One day, she decided to detour and added an extra 32/24 miles to her regular bike route. How many miles in total did she travel after adding the extra traveling distance?

Llama 3 70B:

Reasoning: Initially, Sally travels 47/50 = 0.94 miles.
Then, she rides another 31 miles, making a total of 0.94 + 31 = 31.94 miles.
Every day for the next 28 days, she completes the same distance, which is 31.94 miles.
So, in total, she travels 31.94 miles/day * 29 days (including the initial day) = 31.94 * 29 = 926.26 miles.
On one day, she adds an extra 32/24 = 1.33 miles to her regular bike route.
So, the total distance traveled is 926.26 + 1.33 = 927.59 miles.
### Answer: 927.59 miles

Expected answer: 67174/75

Correct? No

Problem: A train travels at a steady speed of 47 miles per hour for 4 hours. How far does the train travel in that time?

Llama 3 70B:

Reasoning: To find the distance traveled, we can multiply the speed of the train by the time it traveled. 

Distance = Speed x Time 
Distance = 47 miles/hour x 4 hours 
Distance = 47 x 4 
Distance = 188 miles 

### Answer: 188 miles

Expected answer: 188

Correct? Yes

Problem: A truck can travel a distance of 34/25 kilometers on a liter of fuel. If 11 more kilometers are added to its journey, what is the total distance the truck can travel before running out of fuel? Then, if an additional 49 kilometers are added to the journey, what would be the total distance then?

Llama 3 70B:

Let's break this down step by step:

1. The truck can travel a distance of 34/25 kilometers on a liter of fuel. To find the total distance it can travel, we need to know how many liters of fuel it has. Let's assume it has 1 liter of fuel. Then, the total distance it can travel is 34/25 kilometers.

2. If 11 more kilometers are added to its journey, the new total distance would be:
(34/25) + 11 = (34/25) + (275/25) = (309/25) kilometers

3. Now, if an additional 49 kilometers are added to the journey, the new total distance would be:
(309/25) + 49 = (309/25) + (1225/25) = (1534/25) kilometers

### Answer: 1534/25 or 61.36 kilometers (approximately)

Expected answer: 1534/25

Correct? Yes

Problem: John drank a special energy drink that increased his jogging speed. After the energy drink, he was able to jog 50/49 miles per hour faster. One day, he had a speed of 4/22 miles per hour without the use of the energy drink. After consuming the energy drink, at what rate would he jog if he continued for 46/30 hours?

Llama 3 70B:

Reasoning: Let's first find John's jogging speed after consuming the energy drink. His original speed was 4/22 miles per hour. The energy drink increased his speed by 50/49 miles per hour, so his new speed is:

(4/22) + (50/49) = (92 + 1100) / (22 * 49) = 1192 / 1078 miles per hour

To find the distance he would jog in 46/30 hours, we multiply his speed by the time:

(1192 / 1078) * (46 / 30) = 1192 * 46 / (1078 * 30) = 25192 / 32340 miles

### Answer: 25192/32340 miles

Expected answer: 4968/2695

Correct? No

Problem: A truck driver starts his route with 9 gallons of gas in his tank. He stops at a station and adds to this tank another 21/36 gallons of gas. Later, he stops at another station and adds another 26/42 gallons of gas. How many gallons of gas total does the truck driver have now in his tank?

Llama 3 70B:

Reasoning: First, we need to find a common denominator for the fractions 21/36 and 26/42. The least common multiple of 36 and 42 is 252. So, we can convert the fractions to have a denominator of 252:

21/36 = (21*7)/(36*7) = 147/252
26/42 = (26*6)/(42*6) = 156/252

Now, we can add the fractions:

147/252 + 156/252 = 303/252

The truck driver starts with 9 gallons of gas and adds 303/252 gallons. To add these, we need to convert 9 to an improper fraction:

9 = 9*252/252 = 2268/252

Now, we can add:

2268/252 + 303/252 = 2571/252

To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 21:

2571 ÷ 21 = 122
252 ÷ 21 = 12

So, the truck driver has 122/12 gallons of gas. We can simplify this further by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

122 ÷ 2 = 61
12 ÷ 2 = 6

The truck driver has 61/6 gallons of gas. To convert this to a mixed number, we can divide the numerator by the denominator:

61 ÷ 6 = 10 with a remainder of 1

So, the truck driver has 10 1/6 gallons of gas.

### Answer: 10 1/6

Expected answer: 857/84

Correct? No

Problem: John has 6 dollars in his pocket. He then earns an additional 47/8 dollars from mowing his neighbor's lawn. How much money does he now have in total?

Llama 3 70B:

Reasoning: To find the total amount of money John has, we need to add the initial amount he had to the additional amount he earned.

First, let's convert the fraction 47/8 to a decimal: 47 ÷ 8 = 5.875.

Now, add the initial amount to the additional amount: 6 + 5.875 = 11.875.

### Answer: 11.875

Expected answer: 95/8

Correct? Yes

Problem: Matthew has $29 saved up. He buys a toy robot for $5. After buying the toy, he receives $8 from his grandmother for his birthday. How much money does Matthew have now?

Llama 3 70B:

Reasoning: Matthew starts with $29. He spends $5 on the toy robot, so he has $29 - $5 = $24 left. Then, he receives $8 from his grandmother, so he now has $24 + $8 = $32.
### Answer: $32

Expected answer: 32

Correct? Yes

Problem: A barrel of oil costs $16 and a refinery buys 9 barrels. How much do 9 barrels of oil cost in total?

Llama 3 70B:

Reasoning: The cost of one barrel of oil is $16. To find the total cost of 9 barrels, we multiply the cost of one barrel by 9.
Total cost = $16 x 9 = $144
### Answer: $144

Expected answer: 144

Correct? Yes

Problem: Amy's garden is 11 feet long. She plans to expand it by 30 more feet. At the end of this expansion, she decided to further extend the garden by the length equivalent to 30 divided by 13 feet. What will be the total length of her garden after all the expansions?

Llama 3 70B:

Reasoning: Amy's garden is initially 11 feet long. 
She expands it by 30 feet, making it 11 + 30 = 41 feet long.
Then, she further extends the garden by 30 ÷ 13 = 2.31 feet (approximately).
So, the total length of her garden after all the expansions is 41 + 2.31 = 43.31 feet.
### Answer: 43.31 feet.

Expected answer: 563/13

Correct? No

Problem: John's house is (17 / 3) miles from his work. The supermarket is (25 / 41) miles closer to his work than his house. How far is the supermarket from his work?

Llama 3 70B:

Reasoning: Let's first find the distance from John's house to his work: (17 / 3) = 17 ÷ 3 = 5.67 miles.

The supermarket is (25 / 41) miles closer to his work than his house, so we subtract (25 / 41) from the distance from John's house to his work: 5.67 - (25 / 41) = 5.67 - 0.61 = 5.06 miles.

### Answer: 5.06 miles.

Expected answer: 622/123

Correct? No

Problem: A bank has $12 in one-dollar bills. They received an additional $36 from a deposit. After paying out $8, how much money does the bank now have in one-dollar bills?

Llama 3 70B:

Reasoning: The bank initially had $12 in one-dollar bills.
They received an additional $36, so they now have $12 + $36 = $48.
After paying out $8, they have $48 - $8 = $40.
### Answer: 40

Expected answer: 40

Correct? Yes

Problem: Samantha has $28 in her bank account. Later, she found a few coins amounting to 46/41 dollars on the street and added them to her savings. How much money does she have now in her bank account?

Llama 3 70B:

Reasoning: Samantha initially had $28 in her bank account.
She found 46/41 dollars on the street, which is equivalent to $1.12 (since 46 ÷ 41 = 1.12).
She added this amount to her savings, so she now has $28 + $1.12 = $29.12.
### Answer: $29.12

Expected answer: 1194/41

Correct? No

Problem: In a money counting contest, James had $37. Then his little brother gave him 14/19 of a dollar from his piggy bank. How much money does James have now?

Llama 3 70B:

Reasoning: James had $37 initially. His little brother gave him 14/19 of a dollar, which is equivalent to $0.74 (since 14/19 = 0.74).
To find the total amount of money James has now, we add the initial amount to the amount his brother gave him: $37 + $0.74 = $37.74.
### Answer: $37.74

Expected answer: 717/19

Correct? No

Problem: Sophia spends 40 dollars every 28 days to fill up her car's fuel tank. How much does she spend each day for her fuel?

Llama 3 70B:

Reasoning: Sophia spends $40 every 28 days, so to find out how much she spends each day, we need to divide $40 by 28.

$40 ÷ 28 = $1.43 (rounded to two decimal places)

### Answer: $1.43

Expected answer: 10/7

Correct? No

Problem: Roberto has 50 ounces of juice. He splits the juice into 17 equal parts. He then takes the juice from one part and pours it into a container. He then takes 34/44 of what is in that container and pours it into another container. How much juice is now in the second container?

Llama 3 70B:

Reasoning: Roberto has 50 ounces of juice and splits it into 17 equal parts, so each part has 50/17 = 2.94 ounces (approximately).

He takes the juice from one part (2.94 ounces) and pours it into a container.

Then, he takes 34/44 of what is in that container, which is (34/44) × 2.94 = 2.31 ounces (approximately).

### Answer: 2.31 ounces.

Expected answer: 25/11

Correct? No

Problem: John wants to save some money to buy a video game. The game costs $40, but John already has $29. Every week, John is able to save 20/48 of the money he needs. After a certain period of time, he decides to put all his savings so far into an investment account. The account promises a return of 41/11 times the money invested after a year. How much money will John have in his investment account after a year?

Llama 3 70B:

Let's break this problem down step by step:

1. John needs to save $40 - $29 = $11 to buy the video game.
2. Every week, John saves 20/48 of the money he needs, which is 20/48 × $11 = $4.58 per week.
3. To find out how many weeks it takes John to save the remaining $11, we can divide $11 by $4.58, which gives us approximately 2.4 weeks. So, John will save $11 in approximately 2.4 weeks.
4. After 2.4 weeks, John will have saved a total of $29 (initial amount) + $11 (saved amount) = $40.
5. John invests the entire $40 in the investment account, which promises a return of 41/11 times the money invested after a year.
6. The return on investment is 41/11 × $40 = $150.

### Answer: $150

Expected answer: 205/12

Correct? No

Problem: Maria starts with 13/3 euros in her pocket. She buys a candy bar that costs 32/15 euros. How much money does Maria have left?

Llama 3 70B:

Reasoning: To find out how much money Maria has left, we need to subtract the cost of the candy bar from the initial amount of money she had.

First, let's convert both fractions to have a common denominator, which is 15. So, 13/3 = (13*5)/(3*5) = 65/15 euros.

Now, we can subtract the cost of the candy bar: 65/15 - 32/15 = (65 - 32)/15 = 33/15 euros.

### Answer: 33/15 euros.

Expected answer: 11/5

Correct? Yes

Problem: A carpenter cuts a piece of lumber into pieces that are each 45/44 meters long. How long would 20 pieces of such lumber be in total?

Llama 3 70B:

Reasoning: Since each piece of lumber is 45/44 meters long, we can find the total length of 20 pieces by multiplying the length of one piece by 20.

Total length = (45/44) × 20
= (45 × 20) / 44
= 900 / 44
= 20.45 meters

### Answer: 20.45 meters

Expected answer: 225/11

Correct? No

Problem: A sprinter runs two sections of a race. The first part is run at a speed of 34 miles per 14 hours, and the second part is run at a speed of 21 miles per 26 hours. How much distance does the sprinter cover in one hour from both parts together?

Llama 3 70B:

Let's break this down step by step:

Part 1: The sprinter runs at a speed of 34 miles per 14 hours. To find the speed in miles per hour, we can divide 34 miles by 14 hours:

34 miles ÷ 14 hours = 2.43 miles per hour (approximately)

Part 2: The sprinter runs at a speed of 21 miles per 26 hours. To find the speed in miles per hour, we can divide 21 miles by 26 hours:

21 miles ÷ 26 hours = 0.81 miles per hour (approximately)

To find the total distance covered in one hour, we add the speeds from both parts:

2.43 miles/hour + 0.81 miles/hour = 3.24 miles/hour

### Answer: 3.24 miles

Expected answer: 589/182

Correct? No

Problem: Tom has $30 in his wallet and finds $14 on the ground. Later, he gets $25 as a birthday gift. How much money does Tom have now?

Llama 3 70B:

Reasoning: Tom initially had $30 in his wallet. He found $14 on the ground, so he now has $30 + $14 = $44. Later, he received $25 as a birthday gift, so he now has $44 + $25 = $69.

### Answer: $69

Expected answer: 69

Correct? Yes

Problem: Jenny is on a running exercise. She ran for 41/32 miles in the first round, and then took a break. After resting, she ran for another 11/4 miles. How many miles in total did she run?

Llama 3 70B:

Reasoning: To add these fractions, we need to find a common denominator. The least common multiple of 32 and 4 is 32. So, we can convert 11/4 to 88/32.

Now, we can add the fractions: 41/32 + 88/32 = 129/32.

### Answer: 129/32.

Expected answer: 129/32

Correct? Yes

Problem: John had $32 in his wallet. He then found a $33 bill on the floor. How much money does John have now?

Llama 3 70B:

Reasoning: John initially had $32 in his wallet. He then found a $33 bill, so he added $33 to his initial amount. To find the total amount of money John has now, we add the two amounts together: $32 + $33 = $65.

### Answer: $65

Expected answer: 65

Correct? Yes

Problem: Carrie rode her bike for 7 hours, and then another 38/25 of an hour. If she was able to cover 35 kilometers in each hour, how many kilometers did she cover in total?

Llama 3 70B:

Reasoning: Carrie rode her bike for 7 hours, and then another 38/25 of an hour, which is equivalent to 7 + 38/25 = 7 + 1.52 = 8.52 hours.

Since she covers 35 kilometers in each hour, she covered a total distance of 35 × 8.52 = 298.2 kilometers.

### Answer: 298.2

Expected answer: 1491/5

Correct? Yes

Problem: John saved $17 in January. He then added $10 more for the month of February. How much total money has he saved after February?

Llama 3 70B:

Reasoning: John had $17 in January. He added $10 more in February, so he now has $17 + $10 = $27.
### Answer: $27

Expected answer: 27

Correct? Yes

Problem: A car travels 41 miles per hour on a trip that lasts 20/11 hours. How far did the car travel during this trip?

Llama 3 70B:

Reasoning: To find the distance traveled, we need to multiply the speed of the car by the time it traveled. 

Distance = Speed × Time 
= 41 miles/hour × (20/11) hours 
= 41 × (20/11) 
= (41 × 20) / 11 
= 820 / 11 
= 74 6/11 

### Answer: 74 6/11 miles.

Expected answer: 820/11

Correct? Yes

Problem: Tony has 38 books in his collection. If each book cost him 21 dollars, how much money did he spend in total on his book collection?

Llama 3 70B:

Reasoning: To find the total amount of money Tony spent on his book collection, we need to multiply the number of books he has by the cost of each book.

Total amount = Number of books × Cost of each book
= 38 × 21
= 798

### Answer: 798

Expected answer: 798

Correct? Yes

Problem: Johnnie's car uses 16 liters of gas every hour. How many liters of gas would it use if he drives continuously for 19 hours?

Llama 3 70B:

Reasoning: If Johnnie's car uses 16 liters of gas every hour, then to find out how many liters it would use in 19 hours, we can multiply the number of hours by the number of liters used per hour.

16 liters/hour x 19 hours = 16 x 19 = 304 liters

### Answer: 304

Expected answer: 304

Correct? Yes

Problem: Joe was tasked with distributing 40 pamphlets each day. On day 19, how many pamphlets has Joe distributed in total?

Llama 3 70B:

Reasoning: Joe distributes 40 pamphlets each day. To find the total number of pamphlets distributed in 19 days, we multiply the number of pamphlets per day by the number of days: 40 x 19 = 760.
### Answer: 760

Expected answer: 760

Correct? Yes

Problem: A farmer harvested 16/5 bushels of corn per acre. Meanwhile, the farmer has 42 acres of land but has to let 49/4 acres lie fallow. How many bushels of corn does the farmer harvest from the land that was not fallow?

Llama 3 70B:

Reasoning: The farmer has 42 acres of land, but lets 49/4 = 12.25 acres lie fallow. So, the farmer harvests from 42 - 12.25 = 29.75 acres.

The farmer harvests 16/5 = 3.2 bushels of corn per acre. Therefore, the farmer harvests 3.2 x 29.75 = 95.2 bushels of corn from the land that was not fallow.

### Answer: 95.2

Expected answer: 476/5

Correct? Yes

Problem: Jennifer is selling lemonade for a fundraiser. Every jug she sells contains 21 gallons of lemonade. Due to evaporation, when she sells the jugs she only receives 31/34 of the volume she originally had. How much lemonade does Jennifer have after selling a full jug?

Llama 3 70B:

Reasoning: Jennifer starts with 21 gallons of lemonade. Due to evaporation, she only receives 31/34 of the original volume. To find the amount of lemonade she has after selling a full jug, we multiply the original volume by the fraction: 21 × (31/34) = 21 × 0.91 = 19.09 gallons.
### Answer: 19.09 gallons

Expected answer: 651/34

Correct? No

Problem: Jane cycles at a rate of 11 km/h for 45 hours. In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km. How many kilometers in total does Jane cycle?

Llama 3 70B:

Reasoning: Jane cycles at a rate of 11 km/h for 45 hours, so she covers a distance of 11 km/h x 45 h = 495 km.
In addition to this distance, Jane also decides to cycle for another distance that equals exactly 1 km.
So, the total distance Jane cycles is 495 km + 1 km = 496 km.
### Answer: 496 km.

Expected answer: 496

Correct? Yes

Problem: George had $21 in his wallet, then he found a bundle of change on the street worth $21/39. How much money does George have now?

Llama 3 70B:

Reasoning: George had $21 initially. He found a bundle of change worth $21/39 = $0.54.
Now, George has $21 + $0.54 = $21.54.
### Answer: $21.54

Expected answer: 280/13

Correct? No

Problem: John is on a bike ride. He bikes 46 miles to the town of Baker, and then another 41 miles to the town of Nelson. How many total miles did John bike?

Llama 3 70B:

Reasoning: To find the total miles John biked, we need to add the miles he biked to Baker and the miles he biked to Nelson.

Miles to Baker = 46
Miles to Nelson = 41

Total miles = Miles to Baker + Miles to Nelson
= 46 + 41
= 87

### Answer: 87

Expected answer: 87

Correct? Yes

Problem: John earns 4 dollars per hour at his part-time job. If he works for 9 hours, how much money does John earn in total?

Llama 3 70B:

Reasoning: John earns $4 per hour, and he works for 9 hours. To find out how much he earns in total, we can multiply the hourly wage by the number of hours worked: $4/hour × 9 hours = $4 × 9 = $36.

### Answer: $36

Expected answer: 36

Correct? Yes

Problem: Jack had 38 dollars. He then earned 41/48 of a dollar from recycling cans. The next day, he found a quarter (or 23/24 of a dollar) on the ground. How much money does Jack have now?

Llama 3 70B:

Reasoning: Jack had 38 dollars initially.
He earned 41/48 of a dollar from recycling cans, which is equivalent to 0.8542 dollars (approximately).
So, he now has 38 + 0.8542 = 38.8542 dollars.
The next day, he found a quarter, which is 23/24 of a dollar, equivalent to 0.9583 dollars (approximately).
Now, he has 38.8542 + 0.9583 = 39.8125 dollars.
### Answer: 39.81 (rounded to two decimal places)

Expected answer: 637/16

Correct? No

Problem: Jenny drove for a total of 29 hours at a speed of 32/24 miles per hour. How far could she travel if her speed increased by a factor of 43/15?

Llama 3 70B:

Reasoning: First, we need to find the distance Jenny traveled at the original speed. We can do this by multiplying the speed by the time: 

Distance = Speed × Time = (32/24) × 29 = 32 × 29 / 24 = 37.67 miles (approximately)

Now, if her speed increases by a factor of 43/15, her new speed will be:

New Speed = (32/24) × (43/15) = 32 × 43 / (24 × 15) = 64/24 miles per hour

To find the new distance, we can multiply the new speed by the same time:

New Distance = New Speed × Time = (64/24) × 29 = 64 × 29 / 24 = 77.33 miles (approximately)

### Answer: 77.33 miles

Expected answer: 4988/45

Correct? No

Problem: During an art class, students used liquid paint. Every child received 16/31 litres of paint. If there were 32 children in the class, what is the total amount of paint distributed to all the students?

Llama 3 70B:

Reasoning: Each child received 16/31 litres of paint. To find the total amount of paint distributed, we multiply the amount each child received by the number of children: (16/31) × 32.
To multiply a fraction by a whole number, we multiply the numerator (16) by the whole number (32) and keep the denominator (31) the same: (16 × 32)/31 = 512/31.
### Answer: 512/31 litres.

Expected answer: 512/31

Correct? Yes

Problem: Bob has $3 in his piggy bank. He then receives some more money, which is 3/7 of a dollar. How much money does Bob have in total?

Llama 3 70B:

Reasoning: Bob initially has $3 in his piggy bank.
He receives 3/7 of a dollar, which is equivalent to $0.43 (since 3/7 = 0.43).
To find the total amount of money Bob has, we add the initial amount to the additional amount: $3 + $0.43 = $3.43.
### Answer: $3.43

Expected answer: 24/7

Correct? No

Problem: Tom moved two rocks today. The first rock was moved for an interval of 20/50 hours, and the second was moved for an interval of 45/36 hours. If Tom can move rocks at a speed of 25/22 miles per hour, how far in miles did he move the rocks today?

Llama 3 70B:

Reasoning: To find the total distance Tom moved the rocks, we need to find the total time he moved the rocks and then multiply it by his speed.

First, let's convert the time intervals to a common denominator, which is 100. So, the first rock was moved for 40/100 hours, and the second rock was moved for 125/100 hours.

Now, we can add the time intervals: 40/100 + 125/100 = 165/100 hours.

Next, we can multiply the total time by Tom's speed: (165/100) × (25/22) = 4125/2200 miles.

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 25: 4125 ÷ 25 = 165, and 2200 ÷ 25 = 88.

So, the total distance Tom moved the rocks is 165/88 miles.

### Answer: 165/88 miles.

Expected answer: 15/8

Correct? Yes

Problem: A scientist mixes 10/42 liters of solution A and 32 liters of solution B to create a mixture. She then removes 4/28 liters from this mixture. If she then decides to extract 11/29 of the remaining mixture for an experiment, how much solution is she using for her experiment?

Llama 3 70B:

Let's break this down step by step:

1. The scientist mixes 10/42 liters of solution A and 32 liters of solution B. To add these, we need to find a common denominator for the fractions. The least common multiple of 42 and 28 is 84. So, we can convert 10/42 to 20/84 and 4/28 to 12/84. Now, we can add:

20/84 + 32 = 20/84 + 2688/84 = 2708/84 liters

2. She then removes 4/28 liters from this mixture. Again, we need to find a common denominator, which is 84. So, we can convert 4/28 to 12/84. Now, we can subtract:

2708/84 - 12/84 = 2696/84 liters

3. She then decides to extract 11/29 of the remaining mixture for an experiment. To find 11/29 of 2696/84, we can multiply:

(11/29) × (2696/84) = 32356/2436 liters

### Answer: 32356/2436 liters

Expected answer: 7414/609

Correct? No

Problem: A factory produces 24 chairs in an hour. How many chairs would it produce in 25 hours?

Llama 3 70B:

Reasoning: If the factory produces 24 chairs in 1 hour, it would produce 24 x 25 = 600 chairs in 25 hours.
### Answer: 600

Expected answer: 600

Correct? Yes

Problem: There are two containers of juice. The first one contains 23/35 gallon. The second one contains 50/41 gallon. After mixing the two containers of juice together, it was transferred into a bottle which can hold 28 gallons. How much space is left in the bottle after subtracting 11/19 gallon which was drunk by a customer?

Llama 3 70B:

Let's break this problem down step by step:

1. First, we need to find the total amount of juice in the two containers. To do this, we need to find a common denominator for the two fractions. The least common multiple of 35 and 41 is 1435. So, we can convert both fractions to have a denominator of 1435:

(23/35) = (943/1435)
(50/41) = (1225/1435)

Now, we can add the two fractions:

(943/1435) + (1225/1435) = (2168/1435)

So, the total amount of juice is 2168/1435 gallons.

2. Next, we need to convert this fraction to a decimal to make it easier to work with:

2168/1435 ≈ 1.51 gallons

Since the bottle can hold 28 gallons, we subtract the total amount of juice from the capacity of the bottle:

28 - 1.51 ≈ 26.49 gallons

This means the bottle can hold approximately 26.49 gallons of juice.

3. Finally, we need to subtract the amount of juice drunk by the customer from the remaining amount:

26.49 - 11/19 ≈ 26.49 - 0.58 ≈ 25.91 gallons

So, there are approximately 25.91 gallons of space left in the bottle.

### Answer: 25.91 gallons

Expected answer: 696468/27265

Correct? No

Problem: In a bakery, they charge $47 for a regular cake. However, for custom designs, they charge an additional fee of $6 divided by the 26 available designs. What is the total cost if you decide to buy a regular cake with a custom design?

Llama 3 70B:

Reasoning: The additional fee for a custom design is $6 divided by 26, which is $6 ÷ 26 = $6/26 = $0.23.
The total cost of the cake with a custom design is the cost of the regular cake plus the additional fee, which is $47 + $0.23 = $47.23.
### Answer: $47.23

Expected answer: 614/13

Correct? No

Problem: John bought a drone that can fly 3 kilometers, but when it's carrying a delivery package, it can only fly 50 / 43 kilometers less. When the drone is attached with an additional booster, it can fly an additional 47 / 15 kilometers. How far can the drone fly with the package and the additional booster attached?

Llama 3 70B:

Reasoning: The drone can fly 3 kilometers normally. When carrying a package, it can fly 3 - 50/43 = 3 - 1.16 = 1.84 kilometers. With the additional booster, it can fly an additional 47/15 = 3.13 kilometers. So, the total distance the drone can fly with the package and booster is 1.84 + 3.13 = 3.97 kilometers.

### Answer: 3.97

Expected answer: 3206/645

Correct? No

Problem: Ann runs 43/18 kilometers every morning and 22/9 kilometers every evening. How many kilometers does she run in a day?

Llama 3 70B:

Reasoning: To find the total distance Ann runs in a day, we need to add the distances she runs in the morning and evening. 

First, let's simplify the fractions: 
43/18 = 2 7/18 (morning) 
22/9 = 2 4/9 (evening) 

To add these fractions, we need to find a common denominator, which is 18. So, we can convert 2 4/9 to 2 8/18. 

Now, we can add: 
2 7/18 + 2 8/18 = 4 15/18 

To convert this mixed number to an improper fraction, we multiply the whole number part (4) by the denominator (18) and add the numerator (15): 
4 × 18 + 15 = 87 

So, the total distance Ann runs in a day is 87/18 kilometers. 

### Answer: 87/18

Expected answer: 29/6

Correct? Yes

Problem: A car can travel 36 miles on a 1-gallon tank of gas. If the car has a 19-gallon tank, how far can it travel without needing to refuel?

Llama 3 70B:

Reasoning: If the car can travel 36 miles on 1 gallon of gas, it can travel 36 x 19 miles on 19 gallons of gas.
36 x 19 = 684 miles.
### Answer: 684.

Expected answer: 684

Correct? Yes

Problem: John drove 18 miles each hour for 36 hours. After that, he drove an extra distance of 32/45 miles. How many miles did he drive in total?

Llama 3 70B:

Reasoning: John drove 18 miles each hour for 36 hours, so he drove a total of 18 x 36 = 648 miles.
Then, he drove an extra distance of 32/45 miles, so the total distance he drove is 648 + 32/45.
To add these two distances, we need to convert 648 to a fraction: 648 = 29160/45.
Now, we can add: 29160/45 + 32/45 = 29160/45 + 32/45 = (29160 + 32)/45 = 29192/45.
So, the total distance John drove is 29192/45 miles.
### Answer: 29192/45.

Expected answer: 29192/45

Correct? Yes

Problem: A car travels at a speed of 40 / 31 miles per minute. How far will it travel in 10 minutes?

Llama 3 70B:

Reasoning: To find the distance traveled, we need to multiply the speed by the time. The speed is given as 40/31 miles per minute, and the time is 10 minutes.

Distance = Speed × Time
= (40/31) × 10
= (40 × 10) / 31
= 400 / 31
= 12.9 miles (approximately)

### Answer: 12.9 miles

Expected answer: 400/31

Correct? No

Problem: John has 21 dollars and his mom gives him 11 dollars more. How much money does John have now?

Llama 3 70B:

Reasoning: John initially had 21 dollars. His mom gave him 11 dollars more, so we need to add 11 to 21.

21 + 11 = 32

### Answer: 32

Expected answer: 32

Correct? Yes

Problem: Samuel has $17. He finds $30 on the street. If he then converts all his money to Euros and the exchange rate is $47 to an equivalent of 33 Euros, how much money in Euros will he have now?

Llama 3 70B:

Reasoning: Samuel has $17 initially and finds $30, so he now has $17 + $30 = $47.

The exchange rate is $47 to 33 Euros, so Samuel will have 33 Euros.

### Answer: 33 Euros

Expected answer: 2209/33

Correct? No

Problem: Hannah has 5 piggy banks, and each piggy bank contains 34 coins. How many coins does she have in total?

Llama 3 70B:

Reasoning: Since Hannah has 5 piggy banks, and each piggy bank contains 34 coins, we can multiply the number of piggy banks by the number of coins in each piggy bank to find the total number of coins.

5 (piggy banks) × 34 (coins per piggy bank) = 170

### Answer: 170

Expected answer: 170

Correct? Yes

Problem: Alex has $13/10 in his pocket. He finds $47/36 on the floor and picks it up adding to the money he already has. If he duplicates the amount of money he has by 43 times, how much money will he have?

Llama 3 70B:

Reasoning: First, we need to find the total amount of money Alex has after picking up the money on the floor. To do this, we add the two fractions:

$13/10 + $47/36 = $(13*36 + 47*10) / (10*36) = $(468 + 470) / 360 = $938 / 360

Now, we simplify the fraction:

$938 / 360 = $2.43 (approximately)

Next, we duplicate the amount of money Alex has by 43 times:

$2.43 × 43 = $104.49

### Answer: $104.49

Expected answer: 20167/180

Correct? No

Problem: John had saved 20 dollars for a new toy but accidentally lost 19 dollars. How much money does he left now?

Llama 3 70B:

Reasoning: John had 20 dollars initially. He lost 19 dollars, so we need to subtract 19 from 20 to find out how much money he has left.

20 - 19 = 1

### Answer: 1

Expected answer: 1

Correct? Yes

Problem: Richard bought a bottle of wine that had 33 ounces in it. He drank 33/48 of the wine. In the morning, he drank a cup of orange juice that contained 26/30 of a liter. After a few hours, he drank a bottle of water that contained 2/36 of a liter. What is the total volume of the liquid he consumed?

Llama 3 70B:

Reasoning: Richard drank 33/48 of the wine, which is equivalent to (33/48) × 33 = 22.125 ounces.

The cup of orange juice contained 26/30 of a liter, which is equivalent to (26/30) × 1000 = 866.67 milliliters (since 1 liter = 1000 milliliters). To convert this to ounces, we multiply by 33.81 (since 1 milliliter ≈ 0.03381 ounces), which gives us approximately 29.33 ounces.

The bottle of water contained 2/36 of a liter, which is equivalent to (2/36) × 1000 = 55.56 milliliters. Converting this to ounces, we get approximately 1.87 ounces.

The total volume of liquid consumed is the sum of these values: 22.125 + 29.33 + 1.87 = 53.32 ounces.

### Answer: 53.32 ounces

Expected answer: 16999/720

Correct? No

Problem: Jacob has $43 in his savings account and he adds $46 to his account. A few days later, he receives an additional $27/9 from his aunt. How much money does he have in his savings account now?

Llama 3 70B:

Reasoning: Jacob initially had $43 in his savings account. He added $46 to his account, so he now has $43 + $46 = $89.

His aunt gave him an additional $27/9, which is equal to $3 (since 27 divided by 9 is 3). So, Jacob now has $89 + $3 = $92.

### Answer: $92

Expected answer: 92

Correct? Yes

Problem: Jacob has $35 on his gift card. He buys a toy for $22. How much money does he have left on his gift card after buying the toy?

Llama 3 70B:

Reasoning: Jacob starts with $35 on his gift card. He spends $22 on a toy, so we need to subtract $22 from $35 to find out how much money he has left.

$35 - $22 = $13

### Answer: $13

Expected answer: 13

Correct? Yes

Problem: James initially had 32 dollars. He then spent 36/5 dollars on a notepad. How many dollars does he have left after his purchase?

Llama 3 70B:

Reasoning: James spent 36/5 = 7.2 dollars on a notepad.
James had 32 dollars initially and spent 7.2 dollars, so he has 32 - 7.2 = 24.8 dollars left.
### Answer: 24.8

Expected answer: 124/5

Correct? Yes

Problem: Tina spent 39 dollars on groceries. Due to a discount offer, she only had to pay 16/26 of this amount. How much money did Tina pay for the groceries?

Llama 3 70B:

Reasoning: Tina had to pay 16/26 of the original amount, which is 39 dollars. To find the amount she paid, we can multiply 39 by 16/26.

First, we can convert the fraction to a decimal by dividing the numerator by the denominator: 16 ÷ 26 = 0.615

Then, we can multiply 39 by 0.615: 39 × 0.615 = 24

### Answer: 24

Expected answer: 24

Correct? Yes

Problem: Jaden has $19 in his savings account. If his mother gives him $10 more, what will be the total amount in his savings account?

Llama 3 70B:

Reasoning: Jaden initially has $19 in his savings account. His mother gives him $10 more, so we need to add $10 to the initial amount.

$19 + $10 = $29

### Answer: $29

Expected answer: 29

Correct? Yes

Problem: John buys 17 pounds of apples every 8 days. He began noticing that his apples lasts about as long as 48 ounces of apple juice, which he happens to consume every 42 days. Calculate the rate of John's apple to apple juice consumption.

Llama 3 70B:

Let's break this down step by step:

1. John buys 17 pounds of apples every 8 days, so his rate of apple consumption is:

17 pounds / 8 days = 17/8 pounds/day

To find the rate in ounces, we can convert pounds to ounces (1 pound = 16 ounces):

(17/8) × 16 = 34 ounces/day

2. John consumes 48 ounces of apple juice every 42 days, so his rate of apple juice consumption is:

48 ounces / 42 days = 48/42 ounces/day

To simplify, we can divide both numerator and denominator by 6:

48/42 = 8/7 ounces/day

3. Now, we can find the rate of John's apple to apple juice consumption by dividing his rate of apple consumption by his rate of apple juice consumption:

(34 ounces/day) / (8/7 ounces/day) = 34 × (7/8) = 29.75

So, John consumes approximately 29.75 times as many ounces of apples as ounces of apple juice.

### Answer: 29.75

Expected answer: 119/64

Correct? No

Problem: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. In another trip, she initially had 38 dollars for gas but spent 50/4 dollars on gas. What is the summation of the total miles Maria drove and the remaining amount of money she had for gas?

Llama 3 70B:

Reasoning: Maria drove her car for 8 hours at a speed of 4/7 miles per hour. 
So, the total miles Maria drove is 8 * (4/7) = 32/7 = 4 4/7 miles.

Maria initially had 38 dollars for gas but spent 50/4 = 12.5 dollars on gas. 
So, the remaining amount of money she had for gas is 38 - 12.5 = 25.5 dollars.

The summation of the total miles Maria drove and the remaining amount of money she had for gas is 4 4/7 + 25.5 = 30 1/7.
### Answer: 30 1/7.

Expected answer: 421/14

Correct? No

Problem: A runner is training for a marathon and runs 17 miles each day. If they run the same distance for 49 days, how many miles will they have run in total?

Llama 3 70B:

Reasoning: The runner runs 17 miles each day, and they do this for 49 days. To find the total distance, we multiply the daily distance by the number of days: 17 miles/day × 49 days = 17 × 49 = 833 miles.

### Answer: 833

Expected answer: 833

Correct? Yes

Problem: A toy car travels 37 kilometers on a single tank of fuel. However, after a modification, the toy car can now travel an additional 33/40 of a kilometer. What is the total distance the toy car can now travel on a single tank of fuel after the modification?

Llama 3 70B:

Reasoning: The toy car can travel an additional 33/40 of a kilometer, which is equivalent to 0.825 kilometers (since 33/40 = 0.825).
The total distance the toy car can now travel on a single tank of fuel after the modification is 37 + 0.825 = 37.825 kilometers.
### Answer: 37.825

Expected answer: 1513/40

Correct? Yes

Problem: John traveled for 1/31 of an hour by car and then took a bus for another 30/12 hours. After taking a short break of 17/4 hours, how long in total was John on the move?

Llama 3 70B:

Reasoning: Let's convert the fractions to hours:

1/31 of an hour = 1/31 × 60 minutes = 60/31 minutes ≈ 1.94 minutes

30/12 hours = 30/12 × 60 minutes = 150 minutes = 2.5 hours

17/4 hours = 17/4 × 60 minutes = 255 minutes = 4.25 hours

Now, let's add up the times:

1.94 minutes ≈ 0.03 hours (convert minutes to hours)
0.03 hours + 2.5 hours = 2.53 hours
2.53 hours + 4.25 hours = 6.78 hours

### Answer: 6.78 hours

Expected answer: 841/124

Correct? No

Problem: In a certain village, the well is 45 miles away. However, every hour, a donkey can carry water back from the well, effectively reducing the distance by 18/33 miles. After 1 hour, what is the effective distance of the well from the village?

Llama 3 70B:

Reasoning: The well is initially 45 miles away. After 1 hour, the donkey carries water back, reducing the distance by 18/33 miles. To find the effective distance, we subtract the reduced distance from the initial distance: 45 - 18/33 = 45 - 0.545454545454545 = 44.45454545454545 miles.

### Answer: 44.45454545454545 miles.

Expected answer: 489/11

Correct? No

Problem: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream. After buying the ice cream, she used 11/21 of her remaining money to buy a book. How many dollars did she spend on the book?

Llama 3 70B:

Reasoning: Clara had 30 dollars initially. She spent 25/6 dollars on ice cream, so she had 30 - 25/6 = 30 - 4.17 = 25.83 dollars left.
She used 11/21 of her remaining money to buy a book, so she spent (11/21) × 25.83 = 11 × 1.23 = 13.53 dollars on the book.
### Answer: 13.53

Expected answer: 1705/126

Correct? No

Problem: John walked 10 miles every day for 2 weeks. After the 2 weeks, he still needed to walk an additional 21 miles to reach his destination. How many miles did he have to walk in total?

Llama 3 70B:

Reasoning: John walked 10 miles per day for 2 weeks, which is 14 days. So, he walked a total of 10 x 14 = 140 miles in 2 weeks.
After walking 140 miles, he still needed to walk an additional 21 miles to reach his destination. Therefore, the total number of miles he had to walk is 140 + 21 = 161 miles.
### Answer: 161

Expected answer: 161

Correct? Yes

Problem: Susan has 48 dollars in her pocket. She goes to a store and buys a toy. The toy cost is 18 dollars plus 41/14 dollars for tax. How much money does she have left after buying the toy?

Llama 3 70B:

Reasoning: First, let's find the total cost of the toy, including tax. The cost of the toy is 18 dollars, and the tax is 41/14 dollars. To add these amounts, we need to find a common denominator, which is 14. So, we can rewrite 18 as 18 × 14/14 = 252/14. Now, we can add the cost and tax: 252/14 + 41/14 = 293/14.

To find the total cost, we can divide the numerator by the denominator: 293 ÷ 14 = 20.93 (approximately).

Now, let's subtract the total cost from the initial amount of money Susan had: 48 - 20.93 = 27.07.

### Answer: 27.07

Expected answer: 379/14

Correct? No

Problem: Jamie deposited $47 in her bank account. The bank then added a bonus of 47/41 dollars to her account. How much money does Jamie now have in her bank account?

Llama 3 70B:

Reasoning: The bonus added to Jamie's account is 47/41 = 1.15 dollars.
The total amount of money Jamie now has in her account is 47 + 1.15 = 48.15 dollars.
### Answer: 48.15

Expected answer: 1974/41

Correct? No

Problem: Walter pays 23/21 dollars for a pen. After buying the pen, he still has 46 dollars left. How much money did he have originally?

Llama 3 70B:

Let's say Walter had x dollars originally.

We know that after buying the pen, he had 46 dollars left, so the amount he spent on the pen is x - 46.

The cost of the pen is 23/21 dollars, so we can set up the equation:

x - 46 = 23/21

To solve for x, we can multiply both sides of the equation by 21 to eliminate the fraction:

21(x - 46) = 23

Expanding the left-hand side, we get:

21x - 966 = 23

Adding 966 to both sides gives us:

21x = 989

Dividing both sides by 21, we get:

x = 989/21
x = 47.1

So Walter had 47.1 dollars originally.

### Answer: 47.1

Expected answer: 989/21

Correct? No

Problem: A farmer harvests honey and sells it in kilograms. In a day, the farmer on average harvests 44/10 kilograms from each beehive. If there are 37 beehives, how many kilograms honey does he harvest in a day? If he sells 3/37 of the total honey harvested in a day, how many kilograms of honey does he sell?

Llama 3 70B:

Reasoning: The farmer harvests 44/10 kilograms from each beehive, and there are 37 beehives. So, the total honey harvested in a day is (44/10) × 37 = 161.2 kilograms.

The farmer sells 3/37 of the total honey harvested, which is (3/37) × 161.2 = 13 kilograms.

### Answer: 13

Expected answer: 66/5

Correct? No

Problem: Jessica earns 29 dollars per hour. If she works for 14 hours, how much money will she have earned?

Llama 3 70B:

Reasoning: Jessica earns $29 per hour, and she works for 14 hours. To find out how much money she will have earned, we can multiply the hourly wage by the number of hours worked: $29/hour × 14 hours = $29 × 14 = $406.

### Answer: $406

Expected answer: 406

Correct? Yes

Problem: Tim has a quirky old car with a very unusual fuel consumption - it uses 41/39 liters of fuel per minute. If he drives for 47 minutes, how many litres of fuel will he have consumed?

Llama 3 70B:

Reasoning: To find the total amount of fuel consumed, we need to multiply the fuel consumption per minute by the number of minutes driven.

Fuel consumption per minute = 41/39 liters/minute
Number of minutes driven = 47 minutes

Total fuel consumption = (41/39) × 47
= (41 × 47) / 39
= 1927 / 39
= 49.41 liters (approximately)

### Answer: 49.41 liters

Expected answer: 1927/39

Correct? No

Problem: A cargo ship carries 17 / 26 tons of cargo for every one of its 39 containers. It already has an existing cargo load of 50 / 11 tons. What is the total tonnage of the cargo on the ship after it loads all 39 containers?

Llama 3 70B:

Reasoning: The cargo ship carries 17/26 tons of cargo for every one of its 39 containers. So, the total cargo it will carry is 39 × (17/26) = 39 × 17 / 26 = 261/26 tons.

The ship already has an existing cargo load of 50/11 tons. To add this to the total cargo, we need to find a common denominator, which is 286. So, we can convert 50/11 to 1400/286 and 261/26 to 2451/286.

The total tonnage of the cargo on the ship after it loads all 39 containers is 1400/286 + 2451/286 = 3851/286 tons.

### Answer: 3851/286

Expected answer: 661/22

Correct? No

Problem: Jessie has $34 in savings, and then she receives $20 from her grandma. How much money does she have now?

Llama 3 70B:

Reasoning: Jessie initially had $34 in savings. She received $20 from her grandma, so we need to add this amount to her initial savings. 
$34 + $20 = $54
### Answer: $54

Expected answer: 54

Correct? Yes

Problem: Derek has $42 saved up. His grandmother gives him an additional $7. How much money does Derek have in total now?

Llama 3 70B:

Reasoning: Derek initially had $42. His grandmother gave him an additional $7. To find the total amount of money Derek has now, we add the initial amount to the additional amount: $42 + $7 = $49.

### Answer: $49

Expected answer: 49

Correct? Yes

Problem: A man spends 43 dollars on groceries but gets a discount of 43/27 dollars. Later, he buys a book worth 13/36 dollars. How much money did he spend in total?

Llama 3 70B:

Reasoning: The man spends 43 - 43/27 = 43 - 1.59 = 41.41 dollars on groceries.
Then, he buys a book worth 13/36 = 0.36 dollars.
In total, he spends 41.41 + 0.36 = 41.77 dollars.
### Answer: 41.77

Expected answer: 4511/108

Correct? No

Problem: Jenna has saved up $45 from her part-time job and received $50 from her parents as a gift. After she bought a novel that cost 46/39 dollars, how much money does Jenna have left?

Llama 3 70B:

Reasoning: Jenna had $45 from her part-time job and received $50 as a gift, so she had a total of $45 + $50 = $95.

The novel cost 46/39 dollars, which is equivalent to 1.18 dollars (after converting the fraction to a decimal).

Jenna spent $1.18 on the novel, so she has $95 - $1.18 = $93.82 left.

### Answer: $93.82

Expected answer: 3659/39

Correct? No

Problem: You have 27/6 gallons of water in a tank. You then pour out 5/40 gallons of water from the tank. As you noticed the tank seems low, you add 21/26 gallons more. How many gallons of water are in the tank after all those actions?

Llama 3 70B:

Reasoning: Let's start by converting the fractions to decimals to make the calculations easier:

27/6 = 4.5 gallons (initial amount)
5/40 = 0.125 gallons (amount poured out)
21/26 = 0.808 gallons (amount added)

First, subtract the amount poured out from the initial amount:
4.5 - 0.125 = 4.375 gallons

Then, add the amount added to the result:
4.375 + 0.808 = 5.183 gallons

### Answer: 5.183 gallons

Expected answer: 539/104

Correct? No

Problem: If a car is traveling at a steady speed of 28 miles per hour, how many miles will it travel in 20 hours?

Llama 3 70B:

Reasoning: To find the total distance traveled, we can multiply the speed of the car (28 miles per hour) by the time it travels (20 hours).

Distance = Speed x Time
= 28 miles/hour x 20 hours
= 28 x 20
= 560 miles

### Answer: 560 miles

Expected answer: 560

Correct? Yes

Problem: Tom had 48 dollars in his wallet. After he bought a book for 19 dollars, how much money does he have left?

Llama 3 70B:

Reasoning: Tom had 48 dollars initially. He spent 19 dollars on a book. To find out how much money he has left, we need to subtract the amount he spent from the initial amount: 48 - 19 = 29.
### Answer: 29

Expected answer: 29

Correct? Yes

Problem: James has 19 dollars in his account. He earns 49/44 dollars per hour working online. How many dollars does he have in his account after working for an hour?

Llama 3 70B:

Reasoning: James earns 49/44 dollars per hour. After working for 1 hour, he earns 49/44 dollars.
James has 19 dollars initially. After earning 49/44 dollars, he has 19 + 49/44 = 19 + 1.11 = 20.11 dollars.
### Answer: 20.11

Expected answer: 885/44

Correct? No

Problem: Your favorite juice shop buys oranges for $34 per 8 bags. They've found a new vendor offering the same quantity of oranges for $19 per 30 bags. How much less per bag does the new vendor charge?

Llama 3 70B:

Let's first find the cost per bag for the original vendor:

Cost per bag = Total cost ÷ Number of bags
= $34 ÷ 8
= $4.25 per bag

Now, let's find the cost per bag for the new vendor:

Cost per bag = Total cost ÷ Number of bags
= $19 ÷ 30
= $0.6333 per bag (approximately)

To find the difference in cost per bag, subtract the new vendor's cost from the original vendor's cost:

Difference in cost per bag = $4.25 - $0.6333
= $3.6167 (approximately)

### Answer: $3.62 per bag (approximately)

Expected answer: 217/60

Correct? No

Problem: Lisa spends $50 for over 46 days. How much amount does Lisa spend per day?

Llama 3 70B:

Reasoning: To find out how much Lisa spends per day, we need to divide the total amount she spends ($50) by the number of days (46).

$50 ÷ 46 = $1.09

So, Lisa spends $1.09 per day.

### Answer: $1.09

Expected answer: 25/23

Correct? No

Problem: A bottle contains 22/43 liters of juice. If you drink 18/4 of the bottle, how many liters of juice do you drink?

Llama 3 70B:

Reasoning: First, we need to find the total amount of juice in the bottle, which is 22/43 liters. To find the amount of juice drunk, we need to convert 18/4 to an improper fraction, which is 9/2. Now, we can multiply the fraction of the bottle drunk by the total amount of juice: (9/2) × (22/43) = (9 × 22) / (2 × 43) = 198 / 86 = 99/43 liters.
### Answer: 99/43 liters.

Expected answer: 99/43

Correct? Yes

Problem: John had $31 in his wallet. He spent $4 on a chocolate bar. How much money does he have left?

Llama 3 70B:

Reasoning: John had $31 initially. He spent $4 on a chocolate bar, so we need to subtract $4 from $31 to find out how much money he has left.

$31 - $4 = $27

### Answer: $27

Expected answer: 27

Correct? Yes

Problem: A sports car travels at a speed of 40 miles per hour on a highway. Additional to that, it gains an extra speed of 26/24 miles every hour due to a powerful wind from behind. What would be its speed after one hour with the effect of the wind included?

Llama 3 70B:

Reasoning: The sports car travels at a speed of 40 miles per hour. The wind adds an extra speed of 26/24 miles per hour. To find the total speed, we need to convert the fraction to a decimal: 26/24 = 1.083 miles per hour. Now, we add the two speeds together: 40 + 1.083 = 41.083 miles per hour.

### Answer: 41.083 miles per hour.

Expected answer: 493/12

Correct? No

Problem: James bought a jug of milk which contains 33/37 gallons. Later, he decided to add more milk into the jug, which was 3/25 gallons. How many gallons of milk does James have in total in the jug?

Llama 3 70B:

Reasoning: To add these fractions, we need to find a common denominator. The least common multiple of 37 and 25 is 925. So, we can convert both fractions to have a denominator of 925:

(33/37) = (825/925)
(3/25) = (117/925)

Now we can add:

(825/925) + (117/925) = (942/925)

So, James has 942/925 gallons of milk in total in the jug.

### Answer: 942/925

Expected answer: 936/925

Correct? No

Problem: A journey took 43/17 hours to complete. After the journey, a break of 31/4 hours was taken. What is the total time spent on the journey and the break?

Llama 3 70B:

Reasoning: To add the time spent on the journey and the break, we need to have a common denominator. The least common multiple of 17 and 4 is 68. So, we can convert both fractions to have a denominator of 68:

43/17 = (43*4)/(17*4) = 172/68
31/4 = (31*17)/(4*17) = 527/68

Now we can add the two fractions:

172/68 + 527/68 = (172 + 527)/68 = 699/68

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1. So, the total time spent on the journey and the break is 699/68 hours.

### Answer: 699/68 hours

Expected answer: 699/68

Correct? Yes

Problem: Carrie's car consumes 41 liters of fuel to travel 1 hour. If she has driven for 49/48 hours, how much fuel has her car consumed?

Llama 3 70B:

Reasoning: Since Carrie's car consumes 41 liters of fuel to travel 1 hour, it consumes 41 liters/hour. To find out how much fuel it consumes in 49/48 hours, we multiply the rate by the time: 

(41 liters/hour) × (49/48 hours) = (41 × 49)/48 liters = 2079/48 liters = 43.5 liters.

### Answer: 43.5 liters.

Expected answer: 2009/48

Correct? No

Problem: Oscar has $33 saved up. He decides to spend 13/41 of his money on a new video game. How much money does he spend on the video game?

Llama 3 70B:

Reasoning: To find the amount of money Oscar spends on the video game, we need to find 13/41 of $33.

First, we can convert the fraction 13/41 to a decimal by dividing the numerator by the denominator: 13 ÷ 41 = 0.317.

Then, we can multiply $33 by 0.317 to find the amount Oscar spends: $33 × 0.317 = $10.461.

Since we can't have a fraction of a cent, we round $10.461 to $10.46.

### Answer: $10.46

Expected answer: 429/41

Correct? No

Problem: A turtle travels at a speed of 19/6 feet per second. How far, in feet, would the turtle travel in 24 seconds if it starts 20 feet ahead from the starting point?

Llama 3 70B:

Reasoning: The turtle travels at a speed of 19/6 feet per second. To find the distance traveled in 24 seconds, we multiply the speed by the time: (19/6) × 24 = 19 × 4 = 76 feet.

Since the turtle starts 20 feet ahead, we add this to the distance traveled: 76 + 20 = 96 feet.

### Answer: 96

Expected answer: 96

Correct? Yes

Problem: Carlos has a container with a capacity of 3 liters. He filled it with orange juice to just 41/49 of its capacity. How many liters of orange juice did he pour into the container?

Llama 3 70B:

Reasoning: To find the amount of orange juice Carlos poured into the container, we need to find 41/49 of the container's capacity, which is 3 liters.

To do this, we can multiply the capacity by the fraction:

3 liters × (41/49) = 3 × 41/49 = 123/49 = 2.51 liters (approximately)

So, Carlos poured approximately 2.51 liters of orange juice into the container.

### Answer: 2.51 liters

Expected answer: 123/49

Correct? No

Problem: If a train travels at the speed of 39 kilometers per hour, how far would the train cover in 5 hours?

Llama 3 70B:

Reasoning: To find the distance covered by the train, we need to multiply the speed of the train by the time it travels. 

Distance = Speed × Time 
= 39 km/h × 5 h 
= 195 km 

### Answer: 195 km

Expected answer: 195

Correct? Yes

Problem: Jenny has $3. She then finds a rare coin that is worth 4/37 dollars. How much money does she have altogether?

Llama 3 70B:

Reasoning: Jenny initially has $3.
The rare coin is worth 4/37 dollars, which is equivalent to $0.108 (approximately).
Jenny's total amount of money is $3 + $0.108 = $3.108.
### Answer: $3.108

Expected answer: 115/37

Correct? No

Problem: Henry saved $17 each week. How much money did Henry save in 5 weeks?

Llama 3 70B:

Reasoning: Henry saved $17 each week, so to find out how much he saved in 5 weeks, we can multiply the amount he saves per week by the number of weeks: $17 x 5 = $85.
### Answer: $85.

Expected answer: 85

Correct? Yes

Problem: You have $15 in your savings account. You decided to spend 17/23 of a dollar on a small sweet. How much is left in your savings account after buying the sweet?

Llama 3 70B:

Reasoning: First, let's convert the fraction 17/23 to a decimal by dividing the numerator by the denominator: 17 ÷ 23 = 0.7391 (approximately). So, you spent $0.7391 on the sweet.

To find out how much is left in your savings account, subtract the amount spent from the initial amount: $15 - $0.7391 = $14.2609.

### Answer: $14.26

Expected answer: 328/23

Correct? No