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?

Claude-3 Sonnet:

To solve this problem, we need to find out how much money Steve spent each day, and then calculate how much money John spent. Finally, we can add the remaining money John had and the $25 he found to get the total amount of money he has now.

Given information:
- Steve started with $38 and spent it evenly over 8 days.
- Steve received an extra $11.
- John started with $18.
- John spent the same amount of money as Steve had.
- John found $25 on the street.

Step 1: Find how much money Steve spent each day.
Steve's initial money / Number of days = Money spent per day
$38 / 8 days = $4.75 per day

Step 2: Find the total amount of money Steve had after receiving the extra $11.
Steve's initial money + Extra money received = Total money Steve had
$38 + $11 = $49

Step 3: Find the total amount of money John spent.
Total money Steve had = Total money John spent
$49 = Total money John spent

Step 4: Find the remaining money John had after spending.
John's initial money - Total money John spent = Remaining money
$18 - $49 = -$31 (John had a deficit of $31)

Step 5: Find the total amount of money John has now after finding $25 on the street.
Remaining money + Money found = Total money John has now
-$31 + $25 = -$6

Therefore, John has -$6, which means he is still in debt by $6.

### Answer: -6

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?

Claude-3 Sonnet:

To solve this problem, we need to convert the value of the coin from a fraction to a decimal and then add it to the amount of money you already have in your wallet.

Given information:
- You have $45 in your wallet.
- You find a coin worth $27/30.

Step 1: Convert the fraction $27/30 to a decimal.
$27/30 = 0.9

Step 2: Add the value of the coin to the amount of money in your wallet.
Total money = Money in wallet + Value of the coin
Total money = $45 + $0.9
Total money = $45.9

Therefore, after finding the coin worth $27/30, you have a total of $45.9.

### Answer: $45.9

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?

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money John has in his bank account ($17) and the loose change he found ($8/37).

Given information:
- John has $17 in his bank account.
- John found loose change amounting to $8/37.

Step 1: Convert the fraction $8/37 to a decimal.
$8/37 = 0.2162162162...

Step 2: Add the amount in John's bank account and the loose change.
Total amount = Amount in bank account + Loose change
Total amount = $17 + $0.2162162162...
Total amount = $17.2162162162...

Therefore, John has a total of $17.2162162162... after adding the loose change to the money in his bank account.

### Answer: $17.2162162162...

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance of Sally's regular bike route and then add the extra distance she traveled on the day she took the detour.

Given information:
- Initially, Sally traveled 47/50 of a mile.
- Then, she rode another 31 miles.
- For the next 28 days, she completed the same distance.
- On one day, she added an extra 32/24 miles to her regular bike route.

Step 1: Find the total distance of Sally's regular bike route.
Distance of the regular bike route = 47/50 + 31 miles
Distance of the regular bike route = 0.94 + 31 miles
Distance of the regular bike route = 31.94 miles

Step 2: Find the total distance Sally traveled for the 28 days on her regular bike route.
Total distance for 28 days = Distance of the regular bike route × 28
Total distance for 28 days = 31.94 miles × 28
Total distance for 28 days = 894.32 miles

Step 3: Find the total distance Sally traveled after adding the extra distance on the day of the detour.
Total distance = Total distance for 28 days + Extra distance on the day of the detour
Total distance = 894.32 miles + 32/24 miles
Total distance = 894.32 miles + 1.33 miles
Total distance = 895.65 miles

Therefore, after adding the extra traveling distance on the day of the detour, Sally traveled a total of 895.65 miles.

### Answer: 895.65

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled by the train using the given speed and time.

Given information:
- The train travels at a steady speed of 47 miles per hour.
- The train travels for 4 hours.

To find the distance traveled, we use the formula:
Distance = Speed × Time

Substituting the given values, we get:
Distance = 47 miles/hour × 4 hours
Distance = 188 miles

Therefore, the train travels a distance of 188 miles in 4 hours.

### Answer: 188

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the truck can travel on a liter of fuel, and then use that to calculate the total distance it can travel with the given additional distances.

Given information:
- The truck can travel 34/25 kilometers on a liter of fuel.
- Initially, 11 more kilometers are added to the journey.
- Then, an additional 49 kilometers are added to the journey.

Step 1: Find the distance the truck can travel on a liter of fuel.
Distance per liter of fuel = 34/25 kilometers

Step 2: Calculate the total distance the truck can travel before running out of fuel when 11 kilometers are added.
Total distance = Distance per liter of fuel + 11 kilometers
Total distance = 34/25 + 11 kilometers
Total distance = (34/25) + (275/25) kilometers (since 11 = 275/25)
Total distance = 309/25 kilometers
Total distance = 12.36 kilometers

Step 3: Calculate the total distance the truck can travel before running out of fuel when an additional 49 kilometers are added.
Total distance = Distance per liter of fuel + 11 kilometers + 49 kilometers
Total distance = 34/25 + 275/25 + 1225/25 kilometers (since 49 = 1225/25)
Total distance = 1534/25 kilometers
Total distance = 61.36 kilometers

### Answer: The total distance the truck can travel before running out of fuel is 12.36 kilometers when 11 kilometers are added, and 61.36 kilometers when an additional 49 kilometers are added.

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?

Claude-3 Sonnet:

To solve this problem, we need to find John's jogging speed after consuming the energy drink and then calculate the distance he would cover in 46/30 hours.

Given information:
- John's jogging speed increased by 50/49 miles per hour after consuming the energy drink.
- John's jogging speed without the energy drink was 4/22 miles per hour.
- John continued jogging for 46/30 hours after consuming the energy drink.

Step 1: Find John's jogging speed without the energy drink in miles per hour.
John's jogging speed without the energy drink = 4/22 miles per hour
= (4/22) × (1 hour/60 minutes)
= 1/66 miles per minute
= 1/66 × 60 minutes per hour
= 1 mile per hour

Step 2: Find John's jogging speed after consuming the energy drink.
John's jogging speed after consuming the energy drink = John's jogging speed without the energy drink + Increase in speed
John's jogging speed after consuming the energy drink = 1 mile per hour + 50/49 miles per hour
John's jogging speed after consuming the energy drink = (1 + 50/49) miles per hour
John's jogging speed after consuming the energy drink = 99/49 miles per hour

Step 3: Calculate the distance John would cover in 46/30 hours.
Distance covered = Speed × Time
Distance covered = (99/49) miles per hour × (46/30) hours
Distance covered = (99 × 46) / (49 × 30) miles
Distance covered = 4554 / 1470 miles
Distance covered = 3.096 miles (approximately)

Therefore, after consuming the energy drink, John would jog at a rate of approximately 3.096 miles in 46/30 hours.

### Answer: 3.096

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?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the initial amount of gas in the tank and the amounts of gas added at the two stations.

Given information:
- The truck driver starts with 9 gallons of gas in the tank.
- At the first station, he adds 21/36 gallons of gas.
- At the second station, he adds 26/42 gallons of gas.

Step 1: Convert the fractions to decimals.
21/36 = 0.583 gallons
26/42 = 0.619 gallons

Step 2: Add the initial amount of gas and the amounts added at the two stations.
Total amount of gas = Initial amount + Amount added at first station + Amount added at second station
Total amount of gas = 9 + 0.583 + 0.619
Total amount of gas = 10.202 gallons

Therefore, the truck driver has a total of 10.202 gallons of gas in his tank now.

### Answer: 10.202

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?

Claude-3 Sonnet:

To solve this problem, we need to find the value of 47/8 and then add it to the initial amount of $6 that John had in his pocket.

Given information:
- John initially had $6 in his pocket.
- John earned an additional 47/8 dollars from mowing his neighbor's lawn.

Step 1: Convert the fraction 47/8 to a decimal.
47/8 = 47 ÷ 8 = 5.875

Step 2: Add the amount earned to the initial amount John had.
Total amount = Initial amount + Amount earned
Total amount = $6 + $5.875
Total amount = $11.875

Therefore, after earning an additional 47/8 dollars from mowing his neighbor's lawn, John now has a total of $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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of money Matthew has after buying the toy robot and receiving the birthday money from his grandmother.

Given information:
- Matthew initially has $29 saved up.
- He buys a toy robot for $5.
- After buying the toy, he receives $8 from his grandmother for his birthday.

Step 1: Find the amount of money Matthew has after buying the toy robot.
Initial amount - Cost of the toy robot = Amount after buying the toy robot
$29 - $5 = $24

Step 2: Find the amount of money Matthew has after receiving the birthday money from his grandmother.
Amount after buying the toy robot + Birthday money received = Total amount of money
$24 + $8 = $32

Therefore, Matthew now has $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?

Claude-3 Sonnet:

To solve this problem, we need to find the cost of 9 barrels of oil given that one barrel costs $16.

Given information:
- The cost of one barrel of oil is $16.
- The refinery buys 9 barrels of oil.

Step 1: Find the cost of 9 barrels of oil.
Cost of 9 barrels of oil = Cost of one barrel of oil × Number of barrels
Cost of 9 barrels of oil = $16 × 9
Cost of 9 barrels of oil = $144

Therefore, the total cost of 9 barrels of oil is $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?

Claude-3 Sonnet:

To solve this problem, we need to find the length of the garden after the first expansion and then add the length of the second expansion.

Given information:
- Amy's initial garden length is 11 feet.
- She plans to expand it by 30 feet.
- After the first expansion, she decided to further extend the garden by a length equivalent to 30 divided by 13 feet.

Step 1: Find the length of the garden after the first expansion.
Initial length + First expansion = Length after first expansion
11 feet + 30 feet = 41 feet

Step 2: Find the length of the second expansion.
Second expansion = 30 divided by 13 feet
Second expansion = 30 / 13 feet
Second expansion = 2.3076... feet (rounded to 2.31 feet)

Step 3: Find the total length of the garden after all the expansions.
Total length = Length after first expansion + Second expansion
Total length = 41 feet + 2.31 feet
Total length = 43.31 feet

Therefore, the total length of Amy's garden after all the expansions will be 43.31 feet.

### Answer: 43.31

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance between John's house and his work, and then subtract the distance between the supermarket and his work from it.

Given information:
- John's house is (17 / 3) miles from his work.
- The supermarket is (25 / 41) miles closer to his work than his house.

Step 1: Find the distance between John's house and his work.
Distance between John's house and his work = (17 / 3) miles
Distance between John's house and his work = 5.67 miles (after simplifying the fraction)

Step 2: Find the distance between the supermarket and his work.
Distance between the supermarket and his work = Distance between John's house and his work - (25 / 41) miles
Distance between the supermarket and his work = 5.67 miles - (25 / 41) miles
Distance between the supermarket and his work = 5.67 miles - 0.61 miles (after simplifying the fraction)
Distance between the supermarket and his work = 5.06 miles

Therefore, the supermarket is 5.06 miles from John's work.

### Answer: 5.06

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money the bank has after receiving the deposit and paying out the specified amount.

Given information:
- The bank initially has $12 in one-dollar bills.
- The bank receives an additional $36 from a deposit.
- The bank pays out $8.

Step 1: Find the total amount of money the bank has after receiving the deposit.
Initial amount + Deposit = Total amount after deposit
$12 + $36 = $48

Step 2: Find the amount of money the bank has after paying out $8.
Total amount after deposit - Amount paid out = Final amount
$48 - $8 = $40

Therefore, the bank now has $40 in one-dollar bills.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the value of 46/41 dollars and add it to the initial amount of $28 in Samantha's bank account.

Given information:
- Samantha has $28 in her bank account.
- She found coins amounting to 46/41 dollars on the street.

Step 1: Convert the fraction 46/41 to a decimal.
46/41 = 1.12195121951219... (rounded to two decimal places) = 1.12

Step 2: Convert the decimal value to dollars.
1.12 = $1.12

Step 3: Add the amount found on the street ($1.12) to the initial amount in Samantha's bank account ($28).
$28 + $1.12 = $29.12

Therefore, Samantha now has $29.12 in her bank account.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the value of 14/19 of a dollar and add it to the initial amount of $37 that James had.

Given information:
- James initially had $37.
- James's little brother gave him 14/19 of a dollar.

Step 1: Convert the fraction 14/19 to a decimal.
14/19 = 0.7368421... (rounded to four decimal places) = 0.7368

Step 2: Convert the decimal value to dollars.
0.7368 × $1 = $0.7368

Step 3: Add the amount received from the little brother to James's initial amount.
James's new amount = Initial amount + Amount received from little brother
James's new amount = $37 + $0.7368
James's new amount = $37.7368

Therefore, after receiving 14/19 of a dollar from his little brother, James now has $37.7368.

### Answer: 37.7368

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?

Claude-3 Sonnet:

To solve this problem, we need to find the daily cost of fuel for Sophia.

Given information:
- Sophia spends $40 every 28 days to fill up her car's fuel tank.

Step 1: Find the cost of fuel per day.
Cost of fuel per day = Total cost of fuel / Number of days
Cost of fuel per day = $40 / 28 days
Cost of fuel per day = $1.43 per day

Therefore, Sophia spends $1.43 each day for her fuel.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of juice in the first container and then calculate 34/44 of that amount.

Given information:
- Roberto has 50 ounces of juice.
- He splits the juice into 17 equal parts.
- He 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.

Step 1: Find the amount of juice in one part.
Amount of juice in one part = Total juice / Number of parts
Amount of juice in one part = 50 ounces / 17 parts
Amount of juice in one part = 2.94 ounces (approximately)

Step 2: Find the amount of juice in the first container.
Amount of juice in the first container = Amount of juice in one part
Amount of juice in the first container = 2.94 ounces

Step 3: Calculate 34/44 of the amount of juice in the first container.
Amount of juice in the second container = (34/44) × Amount of juice in the first container
Amount of juice in the second container = (34/44) × 2.94 ounces
Amount of juice in the second container = 2.27 ounces (approximately)

### Answer: 2.27

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?

Claude-3 Sonnet:

To solve this problem, we need to find out how much money John needs to save, how much he can save each week, and then calculate the total amount he can save before investing it. Finally, we need to calculate the return on his investment after a year.

Given information:
- The video game costs $40.
- John already has $29.
- John needs to save $40 - $29 = $11 more.
- John can save 20/48 of the money he needs each week.
- The investment account promises a return of 41/11 times the money invested after a year.

Step 1: Find how much John can save each week.
Amount John needs to save × (20/48) = Amount John can save each week
$11 × (20/48) = $4.58

Step 2: Find the number of weeks it will take John to save the remaining $11.
Amount needed to save / Amount saved per week = Number of weeks
$11 / $4.58 ≈ 2.4 weeks

Since we can't have a fractional week, we'll round up to 3 weeks.

Step 3: Calculate the total amount John will save in 3 weeks.
Amount saved per week × Number of weeks = Total amount saved
$4.58 × 3 = $13.74

Step 4: Calculate the return on John's investment after a year.
Total amount saved × (41/11) = Return on investment after a year
$13.74 × (41/11) = $51.54

Therefore, after a year, John will have $51.54 in his investment account.

### Answer: 51.54

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?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the amount of money Maria had initially and the cost of the candy bar.

Given information:
- Maria starts with 13/3 euros in her pocket.
- The candy bar costs 32/15 euros.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
13/3 = (13 × 5)/15 = 65/15 euros
32/15 euros

Step 2: Subtract the cost of the candy bar from the initial amount of money Maria had.
Initial amount of money - Cost of the candy bar = Amount of money left
65/15 - 32/15 = (65 - 32)/15 = 33/15 euros

Therefore, Maria has 33/15 euros left after buying the candy bar.

### Answer: 33/15

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?

Claude-3 Sonnet:

To solve this problem, we need to find the length of one piece of lumber and then multiply it by the number of pieces.

Given information:
- Each piece of lumber is 45/44 meters long.
- There are 20 pieces of lumber.

Step 1: Find the length of one piece of lumber.
Length of one piece of lumber = 45/44 meters

Step 2: Find the total length of 20 pieces of lumber.
Total length = Length of one piece × Number of pieces
Total length = (45/44) meters × 20
Total length = (45 × 20) / 44 meters
Total length = 900 / 44 meters
Total length = 20.45 meters (approximately)

Therefore, the total length of 20 pieces of lumber, each 45/44 meters long, is approximately 20.45 meters.

### Answer: 20.45

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?

Claude-3 Sonnet:

To solve this problem, we need to find the speed of the sprinter for each part of the race and then calculate the total distance covered in one hour.

Given information:
- The first part is run at a speed of 34 miles per 14 hours.
- The second part is run at a speed of 21 miles per 26 hours.

Step 1: Find the speed of the sprinter for the first part of the race.
Speed for the first part = Distance / Time
Speed for the first part = 34 miles / 14 hours
Speed for the first part = 2.43 miles per hour

Step 2: Find the speed of the sprinter for the second part of the race.
Speed for the second part = Distance / Time
Speed for the second part = 21 miles / 26 hours
Speed for the second part = 0.81 miles per hour

Step 3: Calculate the total distance covered in one hour from both parts together.
Total distance covered in one hour = Speed for the first part + Speed for the second part
Total distance covered in one hour = 2.43 miles per hour + 0.81 miles per hour
Total distance covered in one hour = 3.24 miles per hour

### Answer: 3.24

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Tom has after receiving the birthday gift.

Given information:
- Tom initially has $30 in his wallet.
- Tom finds $14 on the ground.
- Tom receives $25 as a birthday gift.

Step 1: Find the total amount of money Tom has after finding the $14 on the ground.
Amount of money Tom had initially + Amount of money found on the ground = Total amount of money after finding the money
$30 + $14 = $44

Step 2: Find the total amount of money Tom has after receiving the birthday gift.
Total amount of money after finding the money + Amount of money received as a birthday gift = Total amount of money Tom has now
$44 + $25 = $69

Therefore, Tom has $69 now.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to add the distances Jenny ran in the first round and the second round.

Given information:
- Jenny ran 41/32 miles in the first round.
- Jenny ran 11/4 miles in the second round.

Step 1: Convert the fractions to a common denominator.
41/32 = 41 × 4/128 = 164/128
11/4 = 11 × 32/128 = 352/128

Step 2: Add the distances.
Total distance = Distance in the first round + Distance in the second round
Total distance = 164/128 + 352/128
Total distance = 516/128
Total distance = 4 2/128 miles (simplified)

Therefore, Jenny ran a total of 4 2/128 miles.

### Answer: 4 2/128

Expected answer: 129/32

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money John initially had in his wallet to the amount he found on the floor.

Given information:
- John had $32 in his wallet.
- John found a $33 bill on the floor.

Step 1: Add the amount of money John had in his wallet to the amount he found on the floor.
Amount of money John had initially + Amount of money John found = Total amount of money John has now
$32 + $33 = $65

Therefore, John has $65 now.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total time Carrie rode her bike and then multiply it by the distance covered per hour.

Given information:
- Carrie rode her bike for 7 hours.
- Carrie rode her bike for an additional 38/25 of an hour.
- Carrie covered 35 kilometers in each hour.

Step 1: Convert the fraction 38/25 to a decimal.
38/25 = 1.52 hours

Step 2: Find the total time Carrie rode her bike.
Total time = 7 hours + 1.52 hours
Total time = 8.52 hours

Step 3: Calculate the total distance covered by multiplying the total time by the distance covered per hour.
Total distance = Total time × Distance covered per hour
Total distance = 8.52 hours × 35 kilometers/hour
Total distance = 298.2 kilometers

Therefore, Carrie covered a total of 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money John saved after February.

Given information:
- John saved $17 in January.
- John added $10 more in February.

Step 1: Find the total amount of money John saved after January.
Amount saved in January = $17

Step 2: Find the total amount of money John saved after February.
Amount saved in February = Amount saved in January + Additional amount saved in February
Amount saved in February = $17 + $10
Amount saved in February = $27

Therefore, John has saved a total of $27 after February.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled by the car, which is the product of the speed and the time taken.

Given information:
- The car travels at a speed of 41 miles per hour.
- The trip lasts 20/11 hours.

Step 1: Convert the fraction 20/11 to a decimal.
20/11 = 1.818181... (repeating decimal)

Step 2: Calculate the distance traveled by multiplying the speed and the time.
Distance traveled = Speed × Time
Distance traveled = 41 miles/hour × 1.818181... hours
Distance traveled = 74.54545... miles

Therefore, the car traveled approximately 74.55 miles during this trip.

### Answer: 74.55

Expected answer: 820/11

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total cost of Tony's book collection by multiplying the number of books he has with the cost of each book.

Given information:
- Tony has 38 books in his collection.
- Each book cost him $21.

Step 1: Multiply the number of books by the cost of each book.
Total cost = Number of books × Cost of each book
Total cost = 38 × $21

Step 2: Calculate the total cost.
Total cost = 38 × $21
Total cost = $798

Therefore, Tony spent a total of $798 on his book collection.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of gas consumed by multiplying the gas consumption rate per hour by the number of hours driven.

Given information:
- Johnnie's car uses 16 liters of gas every hour.
- Johnnie drives continuously for 19 hours.

Step 1: Find the gas consumption rate per hour.
Gas consumption rate per hour = 16 liters

Step 2: Find the total number of liters of gas consumed by multiplying the gas consumption rate per hour by the number of hours driven.
Total gas consumed = Gas consumption rate per hour × Number of hours driven
Total gas consumed = 16 liters × 19 hours
Total gas consumed = 304 liters

Therefore, Johnnie's car would use 304 liters of gas if he drives continuously for 19 hours.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of pamphlets Joe has distributed by multiplying the number of pamphlets he distributes each day by the number of days.

Given information:
- Joe distributes 40 pamphlets each day.
- We need to find the total number of pamphlets distributed by day 19.

Step 1: Find the number of pamphlets distributed in 19 days.
Number of pamphlets distributed per day × Number of days = Total number of pamphlets distributed
40 pamphlets × 19 days = 760 pamphlets

Therefore, by day 19, Joe has distributed a total of 760 pamphlets.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the number of acres that were not left fallow and then multiply it by the yield per acre.

Given information:
- The farmer harvested 16/5 bushels of corn per acre.
- The farmer has 42 acres of land.
- The farmer has to let 49/4 acres lie fallow (not cultivated).

Step 1: Convert the mixed fractions to improper fractions.
16/5 = (16 × 1 + 0) / 5 = 16/5
49/4 = (49 × 1 + 0) / 4 = 49/4

Step 2: Find the number of acres that were not left fallow.
Total acres - Fallow acres = Acres cultivated
42 - 49/4 = 42 - 12.25 = 29.75 acres

Step 3: Calculate the total bushels of corn harvested from the cultivated land.
Bushels of corn harvested = Acres cultivated × Yield per acre
Bushels of corn harvested = 29.75 × 16/5
Bushels of corn harvested = 95.2 bushels

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the volume of lemonade remaining after selling a full jug, given that Jennifer receives 31/34 of the original volume due to evaporation.

Given information:
- Every jug contains 21 gallons of lemonade.
- After selling a jug, Jennifer receives 31/34 of the original volume due to evaporation.

Step 1: Find the volume of lemonade remaining after selling a full jug.
Volume of lemonade remaining = Original volume × (31/34)
Volume of lemonade remaining = 21 gallons × (31/34)
Volume of lemonade remaining = (21 × 31) / 34 gallons
Volume of lemonade remaining = 651 / 34 gallons
Volume of lemonade remaining = 19.15 gallons

Therefore, after selling a full jug, Jennifer has 19.15 gallons of lemonade remaining.

### Answer: 19.15

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance Jane cycled in 45 hours and then add 1 km to it.

Given information:
- Jane cycles at a rate of 11 km/h.
- Jane cycles for 45 hours.
- Jane also cycles an additional 1 km.

Step 1: Find the distance Jane cycled in 45 hours.
Distance cycled in 45 hours = Rate × Time
Distance cycled in 45 hours = 11 km/h × 45 hours
Distance cycled in 45 hours = 495 km

Step 2: Add the additional 1 km to the distance cycled in 45 hours.
Total distance cycled = Distance cycled in 45 hours + Additional distance
Total distance cycled = 495 km + 1 km
Total distance cycled = 496 km

Therefore, Jane cycled a total of 496 kilometers.

### Answer: 496

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?

Claude-3 Sonnet:

To solve this problem, we need to find the value of the bundle of change and add it to the amount of money George initially had in his wallet.

Given information:
- George had $21 in his wallet.
- George found a bundle of change worth $21/39.

Step 1: Find the value of the bundle of change.
Value of the bundle of change = $21/39

Step 2: Add the value of the bundle of change to the amount of money George initially had.
Total amount of money George has now = Amount of money in his wallet + Value of the bundle of change
Total amount of money George has now = $21 + ($21/39)
Total amount of money George has now = $21 + $0.54 (rounded to two decimal places)
Total amount of money George has now = $21.54

Therefore, George now has $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?

Claude-3 Sonnet:

To solve this problem, we need to add the distances John biked to reach the town of Baker and the town of Nelson.

Given information:
- John biked 46 miles to the town of Baker.
- John biked 41 miles from the town of Baker to the town of Nelson.

Step 1: Add the distances biked to reach each town.
Distance biked to reach Baker + Distance biked from Baker to Nelson = Total distance biked
46 miles + 41 miles = 87 miles

Therefore, John biked a total of 87 miles.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to multiply John's hourly rate by the number of hours he worked.

Given information:
- John earns $4 per hour at his part-time job.
- John worked for 9 hours.

Step 1: Find John's total earnings by multiplying his hourly rate by the number of hours worked.
Total earnings = Hourly rate × Number of hours worked
Total earnings = $4 × 9 hours
Total earnings = $36

Therefore, John earns $36 in total for working 9 hours at his part-time job.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Jack has after earning from recycling cans and finding a quarter on the ground.

Given information:
- Jack initially had $38.
- He earned 41/48 of a dollar from recycling cans.
- He found a quarter (23/24 of a dollar) on the ground.

Step 1: Convert the fractions to decimals.
41/48 of a dollar = 41/48 × $1 = $0.854166...
23/24 of a dollar = 23/24 × $1 = $0.958333...

Step 2: Calculate the total amount of money Jack has after earning from recycling cans.
Initial amount + Amount earned from recycling cans = Total amount after recycling cans
$38 + $0.854166... = $38.854166...

Step 3: Calculate the total amount of money Jack has after finding the quarter.
Total amount after recycling cans + Amount found on the ground = Total amount after finding the quarter
$38.854166... + $0.958333... = $39.8125

Therefore, Jack now has $39.8125.

### Answer: 39.8125

Expected answer: 637/16

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find Jenny's original speed in miles per hour and then calculate the new speed after increasing it by a factor of 43/15. Finally, we can use the new speed and the total time traveled to find the distance she could travel.

Given information:
- Jenny drove for a total of 29 hours.
- Jenny's original speed was 32/24 miles per hour.
- Jenny's speed increased by a factor of 43/15.

Step 1: Find Jenny's original speed in miles per hour.
Jenny's original speed = 32/24 miles per hour
Jenny's original speed = 4/3 miles per hour
Jenny's original speed = 1.33 miles per hour

Step 2: Find Jenny's new speed after increasing it by a factor of 43/15.
New speed = Original speed × (43/15)
New speed = 1.33 miles per hour × (43/15)
New speed = 1.33 miles per hour × 2.87
New speed = 3.82 miles per hour

Step 3: Calculate the distance Jenny could travel with the new speed and the total time traveled.
Distance = Speed × Time
Distance = 3.82 miles per hour × 29 hours
Distance = 110.78 miles

Therefore, Jenny could travel 110.78 miles if her speed increased by a factor of 43/15.

### Answer: 110.78

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of paint received by one student and then multiply it by the total number of students.

Given information:
- Each child received 16/31 litres of paint.
- There were 32 children in the class.

Step 1: Find the amount of paint received by one student.
Amount of paint received by one student = 16/31 litres

Step 2: Find the total amount of paint distributed to all the students.
Total amount of paint distributed = Amount of paint received by one student × Total number of students
Total amount of paint distributed = (16/31) litres × 32 students
Total amount of paint distributed = 512/31 litres
Total amount of paint distributed = 16.516129032258064 litres (rounded to 6 decimal places)

Therefore, the total amount of paint distributed to all the students in the art class is approximately 16.516129 litres.

### Answer: 16.516129

Expected answer: 512/31

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of money Bob received and add it to the initial $3 in his piggy bank.

Given information:
- Bob initially has $3 in his piggy bank.
- He receives an additional amount of money, which is 3/7 of a dollar.

Step 1: Convert the fraction 3/7 to a decimal.
3/7 = 0.428571...

Step 2: Calculate the additional amount of money Bob received.
Additional amount = 0.428571...

Step 3: Calculate the total amount of money Bob has by adding the initial amount and the additional amount.
Total amount = Initial amount + Additional amount
Total amount = $3 + $0.428571...
Total amount = $3.428571...

Therefore, Bob has a total of $3.428571... in his piggy bank after receiving the additional money.

### Answer: $3.428571...

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total time Tom spent moving the rocks and then multiply it by his speed to find the total distance covered.

Given information:
- Tom moved the first rock for 20/50 hours.
- Tom moved the second rock for 45/36 hours.
- Tom's speed is 25/22 miles per hour.

Step 1: Convert the time intervals to a common denominator.
Time for the first rock = (20/50) × (36/36) = 14.4/180 hours
Time for the second rock = (45/36) × (50/50) = 62.5/180 hours

Step 2: Find the total time Tom spent moving the rocks.
Total time = Time for the first rock + Time for the second rock
Total time = 14.4/180 hours + 62.5/180 hours
Total time = 76.9/180 hours

Step 3: Convert Tom's speed to a common denominator with the total time.
Speed = (25/22) × (180/180) = 202.5/180 miles per hour

Step 4: Calculate the total distance covered.
Total distance = Total time × Speed
Total distance = (76.9/180) × (202.5/180) miles
Total distance = 15.6 miles

### Answer: 15.6

Expected answer: 15/8

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of the mixture initially created, then subtract the amount removed, and finally calculate 11/29 of the remaining mixture.

Given information:
- The scientist mixes 10/42 liters of solution A and 32 liters of solution B.
- She removes 4/28 liters from the mixture.
- She wants to extract 11/29 of the remaining mixture for an experiment.

Step 1: Find the total amount of the mixture initially created.
Total amount of the mixture = 10/42 liters + 32 liters
Total amount of the mixture = (10/42) + (32 × 42/42) liters
Total amount of the mixture = 10 + 1344/42 liters
Total amount of the mixture = 1354/42 liters

Step 2: Subtract the amount removed from the total amount of the mixture.
Amount removed = 4/28 liters
Amount removed = (4/28) × (42/42) liters
Amount removed = 6 liters
Remaining amount of the mixture = 1354/42 liters - 6 liters
Remaining amount of the mixture = (1354 - 252)/42 liters
Remaining amount of the mixture = 1102/42 liters

Step 3: Calculate 11/29 of the remaining mixture.
11/29 of the remaining mixture = (11/29) × (1102/42) liters
11/29 of the remaining mixture = 418/1218 liters

Therefore, the scientist is using 418/1218 liters of the solution for her experiment.

### Answer: 418/1218

Expected answer: 7414/609

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to find the number of chairs produced in 25 hours given that the factory produces 24 chairs in an hour.

Given information:
- The factory produces 24 chairs in 1 hour.

Step 1: Find the number of chairs produced in 25 hours.
Number of chairs produced in 25 hours = Number of chairs produced in 1 hour × Number of hours
Number of chairs produced in 25 hours = 24 chairs × 25 hours
Number of chairs produced in 25 hours = 600 chairs

Therefore, the factory would produce 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of juice in the two containers, then subtract the amount drunk by the customer from the capacity of the bottle.

Given information:
- The first container contains 23/35 gallon of juice.
- The second container contains 50/41 gallon of juice.
- The bottle can hold 28 gallons.
- A customer drank 11/19 gallon of juice.

Step 1: Convert the fractions to a common denominator.
23/35 gallon = (23 × 41) / (35 × 41) = 943/1435 gallon
50/41 gallon = (50 × 35) / (41 × 35) = 1750/1435 gallon
11/19 gallon = (11 × 35) / (19 × 35) = 385/665 gallon

Step 2: Find the total amount of juice in the two containers.
Total amount of juice = 943/1435 + 1750/1435 = 2693/1435 gallon

Step 3: Convert the total amount of juice to the same denominator as the capacity of the bottle.
2693/1435 gallon = (2693 × 28) / (1435 × 28) = 75404/40180 gallon

Step 4: Subtract the amount of juice drunk by the customer from the capacity of the bottle.
Capacity of the bottle = 28 gallons = 40180/40180 gallon
Amount of juice drunk by the customer = 385/665 gallon = (385 × 40180) / (665 × 40180) = 23105/40180 gallon
Space left in the bottle = 40180/40180 - 23105/40180 = 17075/40180 gallon

Step 5: Convert the remaining space to a proper fraction.
17075/40180 = 17075 ÷ 40180 = 0.425 gallon

Therefore, the space left in the bottle after subtracting 11/19 gallon which was drunk by the customer is 0.425 gallon.

### Answer: 0.425

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?

Claude-3 Sonnet:

To solve this problem, we need to find the additional fee for a custom design and then add it to the cost of a regular cake.

Given information:
- The cost of a regular cake is $47.
- The additional fee for a custom design is $6 divided by the 26 available designs.

Step 1: Find the additional fee for a custom design.
Additional fee for a custom design = $6 / 26 designs
Additional fee for a custom design = $0.23 (rounded to two decimal places)

Step 2: Find the total cost of a regular cake with a custom design.
Total cost = Cost of a regular cake + Additional fee for a custom design
Total cost = $47 + $0.23
Total cost = $47.23

Therefore, the total cost of buying a regular cake with a custom design is $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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the drone can fly with the package, and then add the additional distance it can fly with the booster.

Given information:
- The drone can fly 3 kilometers without any attachments.
- When carrying a delivery package, the drone can fly 50/43 kilometers less.
- With an additional booster, the drone can fly an additional 47/15 kilometers.

Step 1: Find the distance the drone can fly with the package.
Distance the drone can fly without the package = 3 kilometers
Distance the drone can fly with the package = 3 - (50/43) kilometers
Distance the drone can fly with the package = 3 - (50/43)
Distance the drone can fly with the package = 3 - 1.16 kilometers
Distance the drone can fly with the package = 1.84 kilometers

Step 2: Find the additional distance the drone can fly with the booster.
Additional distance the drone can fly with the booster = 47/15 kilometers
Additional distance the drone can fly with the booster = 3.13 kilometers

Step 3: Find the total distance the drone can fly with the package and the booster.
Total distance = Distance with the package + Additional distance with the booster
Total distance = 1.84 kilometers + 3.13 kilometers
Total distance = 4.97 kilometers

### Answer: 4.97 kilometers

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?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the distances Ann runs in the morning and evening.

Given information:
- Ann runs 43/18 kilometers every morning.
- Ann runs 22/9 kilometers every evening.

Step 1: Convert the fractions to decimals.
43/18 = 2.389 kilometers (morning)
22/9 = 2.444 kilometers (evening)

Step 2: Add the distances for morning and evening.
Total distance run in a day = Distance run in the morning + Distance run in the evening
Total distance run in a day = 2.389 kilometers + 2.444 kilometers
Total distance run in a day = 4.833 kilometers

Therefore, Ann runs a total of 4.833 kilometers in a day.

### Answer: 4.833

Expected answer: 29/6

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance the car can travel with a full tank of gas.

Given information:
- The car can travel 36 miles on 1 gallon of gas.
- The car has a 19-gallon tank.

Step 1: Find the total distance the car can travel with a full tank of gas.
Distance per gallon × Number of gallons in the tank = Total distance
36 miles × 19 gallons = 684 miles

Therefore, the car can travel 684 miles without needing to refuel.

### Answer: 684 miles

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance John drove, which is the sum of the distance he drove in the first 36 hours and the extra distance he drove after that.

Given information:
- John drove 18 miles each hour for 36 hours.
- After that, he drove an extra distance of 32/45 miles.

Step 1: Find the distance John drove in the first 36 hours.
Distance driven in 36 hours = Speed × Time
Distance driven in 36 hours = 18 miles/hour × 36 hours
Distance driven in 36 hours = 648 miles

Step 2: Find the total distance John drove by adding the distance driven in 36 hours and the extra distance.
Total distance driven = Distance driven in 36 hours + Extra distance
Total distance driven = 648 miles + 32/45 miles
Total distance driven = 648 + (32/45) miles

Step 3: Convert the fraction 32/45 to a decimal.
32/45 = 0.7111... ≈ 0.71 miles

Step 4: Calculate the total distance driven by adding the two distances.
Total distance driven = 648 miles + 0.71 miles
Total distance driven = 648.71 miles

### Answer: 648.71

Expected answer: 29192/45

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to find the speed of the car in miles per minute and then multiply it by the time in minutes to find the distance traveled.

Given information:
- The speed of the car is 40/31 miles per minute.
- The time is 10 minutes.

Step 1: Convert the fraction 40/31 to a decimal.
40/31 = 1.2903225806451613 miles per minute

Step 2: Calculate the distance traveled in 10 minutes.
Distance traveled = Speed × Time
Distance traveled = 1.2903225806451613 miles per minute × 10 minutes
Distance traveled = 12.9032258064516 miles

Therefore, the car will travel approximately 12.9032258064516 miles in 10 minutes.

### Answer: 12.9032258064516

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?

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money John initially had with the amount of money his mom gave him.

Given information:
- John has $21.
- John's mom gives him $11 more.

Step 1: Add the initial amount of money John had with the amount of money his mom gave him.
John's initial amount + Amount given by his mom = Total amount of money John has now
$21 + $11 = $32

Therefore, John has $32 now.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Samuel has in dollars and then convert it to Euros using the given exchange rate.

Given information:
- Samuel initially has $17.
- He finds $30 on the street.
- The exchange rate is $47 = 33 Euros.

Step 1: Find the total amount of money Samuel has in dollars.
Samuel's initial money + Money found on the street = Total money in dollars
$17 + $30 = $47

Step 2: Convert the total money in dollars to Euros using the given exchange rate.
Total money in Euros = (Total money in dollars) × (33 Euros / $47)
Total money in Euros = $47 × (33 Euros / $47)
Total money in Euros = 33 Euros

Therefore, Samuel will have 33 Euros after converting all his money to Euros.

### Answer: 33

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of coins in all the piggy banks.

Given information:
- Hannah has 5 piggy banks.
- Each piggy bank contains 34 coins.

Step 1: Find the number of coins in one piggy bank.
Number of coins in one piggy bank = 34 coins

Step 2: Find the total number of coins in all the piggy banks.
Total number of coins = Number of coins in one piggy bank × Number of piggy banks
Total number of coins = 34 coins × 5 piggy banks
Total number of coins = 170 coins

Therefore, Hannah has a total of 170 coins in all her piggy banks.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to follow these steps:

1. Convert the fractions to decimal form for easier calculation.
   * $13/10 = 1.3
   * $47/36 = 1.3055...

2. Add the two amounts to find the total money Alex has initially.
   * $1.3 + $1.3055... = $2.6055...

3. Multiply the total money by 43 to find the final amount after duplication.
   * $2.6055... × 43 = $112.0365...

Therefore, after duplicating the amount of money he has by 43 times, Alex will have $112.0365...

### Answer: $112.04

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?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the amount of money John had saved and the amount he lost.

Given information:
- John had saved $20 for a new toy.
- John accidentally lost $19.

Step 1: Find the amount of money John has left.
Amount of money John had saved - Amount of money John lost = Amount of money John has left
$20 - $19 = $1

Therefore, John has $1 left after losing $19 from the $20 he had saved.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to convert all the given quantities to the same unit of measurement, and then add them together.

Given information:
- Richard bought a bottle of wine with 33 ounces.
- He drank 33/48 of the wine.
- He drank a cup of orange juice containing 26/30 of a liter.
- He drank a bottle of water containing 2/36 of a liter.

Step 1: Convert the volume of wine consumed to liters.
33/48 of 33 ounces = (33/48) × (33/33.814) liters = 0.6875 liters (1 ounce ≈ 0.033814 liters)

Step 2: Convert the volume of orange juice to liters.
26/30 of a liter = 0.8667 liters

Step 3: Convert the volume of water to liters.
2/36 of a liter = 0.0556 liters

Step 4: Calculate the total volume of liquid consumed by adding the volumes.
Total volume of liquid consumed = Volume of wine + Volume of orange juice + Volume of water
Total volume of liquid consumed = 0.6875 liters + 0.8667 liters + 0.0556 liters
Total volume of liquid consumed = 1.6098 liters

Therefore, the total volume of liquid that Richard consumed is 1.6098 liters.

### Answer: 1.6098

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Jacob has in his savings account after adding the initial $46 and the additional $27/9 from his aunt.

Given information:
- Jacob initially has $43 in his savings account.
- He adds $46 to his account.
- He receives an additional $27/9 from his aunt.

Step 1: Find the amount of money Jacob has after adding $46 to his initial balance.
Initial balance + Amount added = New balance
$43 + $46 = $89

Step 2: Find the additional amount Jacob received from his aunt.
$27/9 = $3

Step 3: Find the total amount of money Jacob has in his savings account now.
New balance + Additional amount from aunt = Total amount in savings account
$89 + $3 = $92

Therefore, Jacob has $92 in his savings account now.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to subtract the cost of the toy from the initial amount on the gift card.

Given information:
- Jacob has $35 on his gift card.
- He buys a toy for $22.

Step 1: Subtract the cost of the toy from the initial amount on the gift card.
Initial amount on the gift card - Cost of the toy = Amount left on the gift card
$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?

Claude-3 Sonnet:

To solve this problem, we need to find out how much James spent on the notepad and then subtract it from his initial amount of $32.

Given information:
- James initially had $32.
- He spent 36/5 dollars on a notepad.

Step 1: Find the cost of the notepad.
36/5 = 7.2 dollars

Step 2: Subtract the cost of the notepad from James' initial amount.
James' remaining amount = Initial amount - Cost of the notepad
James' remaining amount = $32 - $7.2
James' remaining amount = $24.8

Therefore, James has $24.8 left after his purchase.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the fraction of the original amount that Tina had to pay and then multiply it by the original amount.

Given information:
- Tina spent $39 on groceries.
- Due to a discount offer, she had to pay 16/26 of the original amount.

Step 1: Find the fraction of the original amount that Tina had to pay.
Fraction to pay = 16/26

Step 2: Multiply the original amount by the fraction to find the amount Tina paid.
Amount paid = Original amount × Fraction to pay
Amount paid = $39 × (16/26)
Amount paid = $39 × (0.615384615...)
Amount paid = $24

Therefore, Tina paid $24 for the groceries after the discount.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money Jaden already has in his savings account to the amount his mother will give him.

Given information:
- Jaden has $19 in his savings account.
- Jaden's mother will give him $10 more.

Step 1: Add the amount of money Jaden already has to the amount his mother will give him.
Amount of money Jaden has + Amount of money his mother will give him = Total amount in Jaden's savings account
$19 + $10 = $29

Therefore, after Jaden's mother gives him $10, the total amount in his savings account will be $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.

Claude-3 Sonnet:

To solve this problem, we need to find the rate of John's apple consumption and apple juice consumption, and then compare them.

Given information:
- John buys 17 pounds of apples every 8 days.
- John consumes 48 ounces of apple juice every 42 days.

Step 1: Convert the units to a common unit for easier comparison.
1 pound = 16 ounces
17 pounds of apples = 17 × 16 ounces = 272 ounces of apples

Step 2: Find the rate of apple consumption.
Rate of apple consumption = Amount of apples consumed / Time period
Rate of apple consumption = 272 ounces / 8 days = 34 ounces per day

Step 3: Find the rate of apple juice consumption.
Rate of apple juice consumption = Amount of apple juice consumed / Time period
Rate of apple juice consumption = 48 ounces / 42 days = 1.14 ounces per day

Step 4: Compare the rates by dividing the rate of apple consumption by the rate of apple juice consumption.
Rate of apple to apple juice consumption = Rate of apple consumption / Rate of apple juice consumption
Rate of apple to apple juice consumption = 34 ounces per day / 1.14 ounces per day
Rate of apple to apple juice consumption = 29.82

Therefore, John's rate of apple consumption is 29.82 times higher than his rate of apple juice consumption.

### Answer: 29.82

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total miles Maria drove and the remaining amount of money she had for gas, and then add them together.

Given information:
- Maria drove her car for 8 hours at a speed of 4/7 miles per hour.
- In another trip, she initially had $38 for gas but spent $50/4 on gas.

Step 1: Find the total miles Maria drove.
Speed = 4/7 miles per hour
Time = 8 hours
Total miles driven = Speed × Time
Total miles driven = (4/7) × 8 = 32/7 miles

Step 2: Find the remaining amount of money Maria had for gas.
Initial amount of money for gas = $38
Amount spent on gas = $50/4 = $12.50
Remaining amount of money for gas = Initial amount - Amount spent
Remaining amount of money for gas = $38 - $12.50 = $25.50

Step 3: Find the summation of the total miles driven and the remaining amount of money for gas.
Summation = Total miles driven + Remaining amount of money for gas
Summation = (32/7) + $25.50
Summation = (32/7) + (178/7)
Summation = 210/7

### Answer: 210/7

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance the runner covers in 49 days.

Given information:
- The runner runs 17 miles each day.
- The runner runs for 49 days.

Step 1: Find the distance covered in one day.
Distance covered in one day = 17 miles

Step 2: Find the total distance covered in 49 days.
Total distance covered = Distance covered in one day × Number of days
Total distance covered = 17 miles × 49 days
Total distance covered = 833 miles

Therefore, the runner will have run a total of 833 miles in 49 days.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the additional distance the toy car can travel after the modification and add it to the original distance.

Given information:
- The toy car can travel 37 kilometers on a single tank of fuel before the modification.
- After the modification, the toy car can travel an additional 33/40 of a kilometer.

Step 1: Convert the fraction 33/40 to a decimal.
33/40 = 0.825 kilometers

Step 2: Find the total distance the toy car can travel after the modification.
Total distance = Original distance + Additional distance
Total distance = 37 kilometers + 0.825 kilometers
Total distance = 37.825 kilometers

Therefore, after the modification, the toy car can travel a total distance of 37.825 kilometers on a single tank of fuel.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to convert the given fractions into decimal values and then add them together.

Given information:
- John traveled for 1/31 of an hour by car.
- John took a bus for another 30/12 hours.
- John took a short break of 17/4 hours.

Step 1: Convert the fractions into decimal values.
1/31 of an hour = 1/31 × 60 minutes = 1.93548387 minutes = 0.032258065 hours
30/12 hours = 2.5 hours
17/4 hours = 4.25 hours

Step 2: Calculate the total time John was on the move.
Total time on the move = Time traveled by car + Time traveled by bus
Total time on the move = 0.032258065 hours + 2.5 hours
Total time on the move = 2.532258065 hours

Step 3: Convert the total time on the move from hours to hours and minutes.
2.532258065 hours = 2 hours + (0.532258065 × 60 minutes)
2.532258065 hours = 2 hours + 31.93548387 minutes
2.532258065 hours ≈ 2 hours and 32 minutes

Therefore, John was on the move for a total of 2 hours and 32 minutes.

### Answer: 2 hours and 32 minutes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the effective distance of the well from the village after 1 hour.

Given information:
- The initial distance of the well from the village is 45 miles.
- Every hour, the donkey can carry water back from the well, reducing the effective distance by 18/33 miles.

Step 1: Find the reduction in the effective distance after 1 hour.
Reduction in the effective distance = 18/33 miles

Step 2: Calculate the effective distance of the well from the village after 1 hour.
Effective distance after 1 hour = Initial distance - Reduction in the effective distance
Effective distance after 1 hour = 45 miles - (18/33 miles)
Effective distance after 1 hour = 45 miles - (18/33 × 1 miles)
Effective distance after 1 hour = 45 miles - (6/11 miles)
Effective distance after 1 hour = (495/11 - 6/11) miles
Effective distance after 1 hour = 489/11 miles

Therefore, after 1 hour, the effective distance of the well from the village is 489/11 miles.

### Answer: 489/11

Expected answer: 489/11

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of money Clara had left after buying the ice cream, and then calculate how much she spent on the book.

Given information:
- Clara had $30 initially.
- She spent $25/6 on ice cream.
- She spent 11/21 of her remaining money on a book.

Step 1: Find the amount of money Clara spent on ice cream.
$25/6 = $4.17

Step 2: Find the amount of money Clara had left after buying the ice cream.
Initial amount - Amount spent on ice cream = Remaining amount
$30 - $4.17 = $25.83

Step 3: Find the amount of money Clara spent on the book.
Amount spent on the book = 11/21 × Remaining amount
Amount spent on the book = 11/21 × $25.83
Amount spent on the book = $13.50

Therefore, Clara spent $13.50 on the book.

### Answer: 13.50

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance John walked in 2 weeks and then add the remaining distance he needed to walk to reach his destination.

Given information:
- John walked 10 miles every day for 2 weeks.
- After 2 weeks, he still needed to walk an additional 21 miles to reach his destination.

Step 1: Find the total distance John walked in 2 weeks.
Distance walked per day = 10 miles
Number of days in 2 weeks = 14 days (2 weeks × 7 days per week)
Total distance walked in 2 weeks = Distance walked per day × Number of days
Total distance walked in 2 weeks = 10 miles × 14 days = 140 miles

Step 2: Find the total distance John had to walk by adding the remaining distance to the distance walked in 2 weeks.
Total distance to walk = Total distance walked in 2 weeks + Remaining distance
Total distance to walk = 140 miles + 21 miles = 161 miles

Therefore, John had to walk a total of 161 miles to reach his destination.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total cost of the toy, including the tax, and then subtract it from the amount of money Susan had initially.

Given information:
- Susan has $48 in her pocket.
- The cost of the toy is $18.
- The tax on the toy is $41/14 (or $2.93 when converted to a decimal).

Step 1: Find the total cost of the toy, including the tax.
Cost of the toy + Tax = Total cost
$18 + $2.93 = $20.93

Step 2: Subtract the total cost from the amount of money Susan had initially.
Amount of money Susan had - Total cost = Amount of money left
$48 - $20.93 = $27.07

Therefore, Susan will have $27.07 left after buying the toy.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the bonus amount and add it to the initial deposit of $47.

Given information:
- Jamie deposited $47 in her bank account.
- The bank added a bonus of 47/41 dollars to her account.

Step 1: Find the bonus amount.
47/41 = 1.146341463... (rounded to three decimal places) = 1.146 dollars

Step 2: Calculate the total amount in Jamie's bank account.
Total amount = Initial deposit + Bonus amount
Total amount = $47 + $1.146
Total amount = $48.146

Therefore, Jamie now has $48.146 in her bank account.

### Answer: 48.146

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?

Claude-3 Sonnet:

To solve this problem, we need to find the cost of the pen and add it to the amount of money Walter had left after buying the pen.

Given information:
- Walter pays 23/21 dollars for a pen.
- After buying the pen, Walter has $46 left.

Step 1: Convert the fraction 23/21 to a decimal.
23/21 = 1.095238095... ≈ 1.10 dollars

Step 2: Find the cost of the pen.
Cost of the pen = $1.10

Step 3: Find the total amount of money Walter had originally.
Total amount of money = Cost of the pen + Amount of money left after buying the pen
Total amount of money = $1.10 + $46
Total amount of money = $47.10

Therefore, Walter had $47.10 originally.

### Answer: 47.10

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of honey harvested in a day and then calculate the amount of honey sold based on the given fraction.

Given information:
- The farmer harvests 44/10 kilograms of honey from each beehive per day.
- There are 37 beehives.
- The farmer sells 3/37 of the total honey harvested in a day.

Step 1: Find the total amount of honey harvested in a day.
Amount of honey harvested from each beehive per day = 44/10 kilograms = 4.4 kilograms
Total amount of honey harvested in a day = Amount of honey harvested from each beehive × Number of beehives
Total amount of honey harvested in a day = 4.4 kilograms × 37 beehives
Total amount of honey harvested in a day = 162.8 kilograms

Step 2: Find the amount of honey sold in a day.
Amount of honey sold in a day = 3/37 × Total amount of honey harvested in a day
Amount of honey sold in a day = 3/37 × 162.8 kilograms
Amount of honey sold in a day = 13.2 kilograms

Therefore, the farmer harvests 162.8 kilograms of honey in a day, and he sells 13.2 kilograms of honey.

### Answer: 13.2

Expected answer: 66/5

Correct? Yes

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

Claude-3 Sonnet:

To solve this problem, we need to multiply Jessica's hourly rate by the number of hours she worked.

Given information:
- Jessica earns $29 per hour.
- Jessica worked for 14 hours.

Step 1: Multiply Jessica's hourly rate by the number of hours she worked.
Jessica's earnings = Hourly rate × Number of hours worked
Jessica's earnings = $29 × 14 hours
Jessica's earnings = $406

Therefore, Jessica will have earned $406 for working 14 hours at a rate of $29 per hour.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the fuel consumption rate per minute and then multiply it by the number of minutes Tim drives.

Given information:
- Tim's car uses 41/39 liters of fuel per minute.
- Tim drives for 47 minutes.

Step 1: Convert the fraction 41/39 to a decimal.
41/39 = 1.05128205128205

Step 2: Calculate the fuel consumption for 47 minutes.
Fuel consumption = Fuel consumption rate per minute × Number of minutes
Fuel consumption = 1.05128205128205 liters/minute × 47 minutes
Fuel consumption = 49.4102564602564 liters

Step 3: Round the answer to two decimal places.
Fuel consumption = 49.41 liters

Therefore, Tim will have consumed 49.41 liters of fuel after driving for 47 minutes.

### Answer: 49.41

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?

Claude-3 Sonnet:

To solve this problem, we need to find the total cargo load after loading all 39 containers and then add it to the existing cargo load.

Given information:
- The ship carries 17/26 tons of cargo for each of its 39 containers.
- The existing cargo load on the ship is 50/11 tons.

Step 1: Find the cargo load for all 39 containers.
Cargo load for one container = 17/26 tons
Cargo load for 39 containers = (17/26) × 39 = 663/26 tons
Cargo load for 39 containers = 25.5 tons

Step 2: Find the total cargo load by adding the existing cargo load and the cargo load for 39 containers.
Total cargo load = Existing cargo load + Cargo load for 39 containers
Total cargo load = 50/11 tons + 25.5 tons
Total cargo load = (50/11) + (275/11) tons
Total cargo load = 325/11 tons

### Answer: 325/11

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?

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money Jessie had in savings ($34) to the amount of money she received from her grandma ($20).

Given information:
- Jessie has $34 in savings.
- Jessie receives $20 from her grandma.

Step 1: Add the amount of money Jessie had in savings to the amount of money she received from her grandma.
Amount of money Jessie has now = Amount of money in savings + Amount of money received from grandma
Amount of money Jessie has now = $34 + $20
Amount of money Jessie has now = $54

Therefore, Jessie now has $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?

Claude-3 Sonnet:

To solve this problem, we need to add the amount of money Derek had saved up with the additional money his grandmother gave him.

Given information:
- Derek had $42 saved up.
- Derek's grandmother gave him an additional $7.

Step 1: Add the amount of money Derek had saved up with the additional money his grandmother gave him.
Derek's total money = Derek's saved money + Additional money from grandmother
Derek's total money = $42 + $7
Derek's total money = $49

Therefore, Derek has a total of $49 now.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money spent by the man after the discount on groceries and the cost of the book.

Given information:
- The man spent $43 on groceries.
- He received a discount of $43/27 on the groceries.
- He bought a book worth $13/36.

Step 1: Find the amount paid for groceries after the discount.
Amount paid for groceries = Cost of groceries - Discount
Amount paid for groceries = $43 - ($43/27)
Amount paid for groceries = $43 - $1.59 (rounded to two decimal places)
Amount paid for groceries = $41.41

Step 2: Find the total amount spent by adding the cost of the book.
Total amount spent = Amount paid for groceries + Cost of the book
Total amount spent = $41.41 + ($13/36)
Total amount spent = $41.41 + $0.36 (rounded to two decimal places)
Total amount spent = $41.77

Therefore, the man spent a total of $41.77 on groceries and the book.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Jenna had initially and then subtract the cost of the novel from it.

Given information:
- Jenna saved $45 from her part-time job.
- Jenna received $50 as a gift from her parents.
- The cost of the novel is 46/39 dollars.

Step 1: Find the total amount of money Jenna had initially.
Total money = Money saved from part-time job + Money received as a gift
Total money = $45 + $50 = $95

Step 2: Convert the cost of the novel from a fraction to a decimal.
Cost of the novel = 46/39 dollars
Cost of the novel = $1.18 (rounded to two decimal places)

Step 3: Calculate the amount of money Jenna has left after buying the novel.
Money left = Total money - Cost of the novel
Money left = $95 - $1.18 = $93.82

Therefore, after buying the novel that cost 46/39 dollars, Jenna has $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?

Claude-3 Sonnet:

To solve this problem, we need to follow the given steps and perform the necessary calculations.

Given information:
- Initially, there are 27/6 gallons of water in the tank.
- 5/40 gallons of water are poured out from the tank.
- 21/26 gallons of water are added to the tank.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
27/6 = 135/30 gallons (initially in the tank)
5/40 = 3/24 gallons (poured out)
21/26 = 21/26 gallons (added)

Step 2: Calculate the amount of water remaining after pouring out.
Amount of water remaining = Initial amount - Amount poured out
Amount of water remaining = 135/30 - 3/24 gallons
Amount of water remaining = (135 × 4 - 3 × 5) / 120 gallons
Amount of water remaining = 537/120 gallons

Step 3: Calculate the total amount of water after adding 21/26 gallons.
Total amount of water = Amount of water remaining + Amount added
Total amount of water = 537/120 + 21/26 gallons
Total amount of water = (537 × 13 + 21 × 55) / (120 × 13) gallons
Total amount of water = 7002/1560 gallons

Step 4: Convert the fraction to a mixed number.
7002/1560 = 4 49/78 gallons

Therefore, after all the actions, there are 4 49/78 gallons of water in the tank.

### Answer: 4 49/78

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance traveled by the car in 20 hours, given its speed.

Given information:
- The car is traveling at a steady speed of 28 miles per hour.
- We need to find the distance traveled in 20 hours.

We can use the formula: Distance = Speed × Time

Step 1: Substitute the given values into the formula.
Distance = Speed × Time
Distance = 28 miles per hour × 20 hours

Step 2: Calculate the distance by multiplying the speed and time.
Distance = 28 miles per hour × 20 hours
Distance = 560 miles

Therefore, if a car is traveling at a steady speed of 28 miles per hour, it will travel 560 miles in 20 hours.

### Answer: 560

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?

Claude-3 Sonnet:

To solve this problem, we need to subtract the cost of the book from the amount of money Tom had initially.

Given information:
- Tom had $48 in his wallet.
- He bought a book for $19.

Step 1: Subtract the cost of the book from the initial amount of money Tom had.
Amount of money left = Initial amount of money - Cost of the book
Amount of money left = $48 - $19
Amount of money left = $29

Therefore, after buying the book for $19, Tom has $29 left in his wallet.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find out how much James earns in one hour and then add it to the amount he already has in his account.

Given information:
- James has $19 in his account.
- James earns $49/44 per hour working online.

Step 1: Convert the fraction $49/44 to a decimal.
$49/44 = 1.11363636...

Step 2: Calculate James's earnings for one hour.
James's earnings for one hour = $1.11363636...

Step 3: Add James's earnings to the amount he already has in his account.
Amount in his account after working for an hour = Amount in his account before working + Earnings for one hour
Amount in his account after working for an hour = $19 + $1.11363636...
Amount in his account after working for an hour = $20.11363636...

Therefore, after working for an hour, James has $20.11363636... in his account.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the cost per bag for each vendor and then calculate the difference.

Given information:
- Current vendor: $34 for 8 bags
- New vendor: $19 for 30 bags

Step 1: Find the cost per bag for the current vendor.
Cost per bag for the current vendor = $34 / 8 bags = $4.25 per bag

Step 2: Find the cost per bag for the new vendor.
Cost per bag for the new vendor = $19 / 30 bags = $0.63 per bag

Step 3: Find the difference between the cost per bag for the current vendor and the new vendor.
Difference in cost per bag = Cost per bag for the current vendor - Cost per bag for the new vendor
Difference in cost per bag = $4.25 - $0.63 = $3.62 per bag

Therefore, the new vendor charges $3.62 less per bag compared to the current vendor.

### Answer: $3.62

Expected answer: 217/60

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to divide the total amount spent by the number of days.

Given information:
- Lisa spends $50.
- The duration is over 46 days.

Since the duration is "over 46 days," we can assume it is at least 47 days.

Total amount spent = $50
Number of days = 47 days (minimum)

Amount spent per day = Total amount spent / Number of days
Amount spent per day = $50 / 47 days
Amount spent per day = $1.0638 per day (rounded to 4 decimal places)

### Answer: $1.0638

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?

Claude-3 Sonnet:

To solve this problem, we need to find the fraction of the bottle that 18/4 represents and then multiply it by the total amount of juice in the bottle (22/43 liters).

Given information:
- The bottle contains 22/43 liters of juice.
- You drink 18/4 of the bottle.

Step 1: Convert 18/4 to an equivalent fraction with a denominator of 43.
18/4 = (18/4) × (43/43) = (18 × 43) / (4 × 43) = 207/172

Step 2: Find the fraction of the bottle that 207/172 represents.
207/172 = (207/172) / (22/43) = (207 × 43) / (172 × 22) = 9/4

Step 3: Calculate the amount of juice you drink by multiplying the fraction of the bottle by the total amount of juice in the bottle.
Amount of juice you drink = (9/4) × (22/43) liters
Amount of juice you drink = (9 × 22) / (4 × 43) liters
Amount of juice you drink = 198/172 liters
Amount of juice you drink ≈ 1.15 liters

Therefore, you drink approximately 1.15 liters of juice.

### Answer: 1.15

Expected answer: 99/43

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to subtract the amount John spent on the chocolate bar from the initial amount of money he had in his wallet.

Given information:
- John had $31 in his wallet.
- John spent $4 on a chocolate bar.

Step 1: Subtract the amount spent on the chocolate bar from the initial amount of money in John's wallet.
Amount of money left = Initial amount of money - Amount spent on the chocolate bar
Amount of money left = $31 - $4
Amount of money left = $27

Therefore, after spending $4 on a chocolate bar, John has $27 left in his wallet.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the total speed of the sports car after one hour, considering the initial speed and the additional speed gained due to the wind.

Given information:
- The initial speed of the sports car is 40 miles per hour.
- The additional speed gained due to the wind is 26/24 miles per hour.

Step 1: Convert the fraction 26/24 to a decimal.
26/24 = 1.0833 miles per hour

Step 2: Calculate the total speed after one hour by adding the initial speed and the additional speed gained due to the wind.
Total speed after one hour = Initial speed + Additional speed gained due to the wind
Total speed after one hour = 40 miles per hour + 1.0833 miles per hour
Total speed after one hour = 41.0833 miles per hour

Therefore, after one hour, with the effect of the wind included, the speed of the sports car would be 41.0833 miles per hour.

### Answer: 41.0833

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?

Claude-3 Sonnet:

To solve this problem, we need to add the two fractions representing the initial amount of milk in the jug and the additional amount of milk added.

Given information:
- James initially had 33/37 gallons of milk in the jug.
- James added 3/25 gallons of milk to the jug.

Step 1: Find the least common denominator (LCD) of 37 and 25.
LCD = 37 × 25 = 925

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
33/37 = (33 × 25)/925 = 825/925
3/25 = (3 × 37)/925 = 111/925

Step 3: Add the fractions.
(825/925) + (111/925) = 936/925

Step 4: Simplify the fraction if possible.
936/925 = 1 (remaining 11/925)

Therefore, James has 1 gallon and 11/925 gallons of milk in the jug.

### Answer: 1 11/925 gallons

Expected answer: 936/925

Correct? Yes

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?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions into decimal form and then add them together.

Given information:
- The journey took 43/17 hours.
- The break lasted 31/4 hours.

Step 1: Convert the fractions into decimal form.
43/17 = 2.529411764705882 hours (for the journey)
31/4 = 7.75 hours (for the break)

Step 2: Add the time spent on the journey and the break.
Total time = Time spent on the journey + Time spent on the break
Total time = 2.529411764705882 hours + 7.75 hours
Total time = 10.279411764705882 hours

Therefore, the total time spent on the journey and the break is 10.279411764705882 hours.

### Answer: 10.279411764705882

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?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of fuel consumed by Carrie's car for the given duration of travel.

Given information:
- Carrie's car consumes 41 liters of fuel to travel for 1 hour.
- Carrie has driven for 49/48 hours.

Step 1: Convert the fraction 49/48 to a decimal.
49/48 = 1.020833333...

Step 2: Calculate the amount of fuel consumed by multiplying the fuel consumption rate with the duration of travel.
Fuel consumed = Fuel consumption rate × Duration of travel
Fuel consumed = 41 liters/hour × 1.020833333... hours
Fuel consumed = 41.854166667... liters

Step 3: Round the answer to two decimal places.
Fuel consumed = 41.85 liters

Therefore, Carrie's car has consumed approximately 41.85 liters of fuel after driving for 49/48 hours.

### Answer: 41.85

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?

Claude-3 Sonnet:

To solve this problem, we need to find 13/41 of $33.

Given information:
- Oscar has $33 saved up.
- He wants to spend 13/41 of his money on a new video game.

Step 1: Convert the fraction 13/41 to a decimal.
13/41 = 0.3170732... ≈ 0.317

Step 2: Multiply the decimal by the total amount of money Oscar has.
0.317 × $33 = $10.461

Therefore, Oscar will spend approximately $10.46 on the new video game.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the turtle travels in 24 seconds and then add it to the initial distance of 20 feet.

Given information:
- The turtle's speed is 19/6 feet per second.
- The turtle starts 20 feet ahead from the starting point.
- We need to find the total distance traveled in 24 seconds.

Step 1: Convert the turtle's speed from a fraction to a decimal.
19/6 feet per second = 3.17 feet per second

Step 2: Calculate the distance traveled in 24 seconds.
Distance traveled = Speed × Time
Distance traveled = 3.17 feet per second × 24 seconds
Distance traveled = 76.08 feet

Step 3: Add the initial distance of 20 feet to the distance traveled.
Total distance = Initial distance + Distance traveled
Total distance = 20 feet + 76.08 feet
Total distance = 96.08 feet

Therefore, the turtle would travel a total distance of 96.08 feet in 24 seconds, starting 20 feet ahead from the starting point.

### Answer: 96.08

Expected answer: 96

Correct? No

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?

Claude-3 Sonnet:

To solve this problem, we need to find the fraction of the container's capacity that Carlos filled with orange juice, and then multiply it by the total capacity of the container.

Given information:
- The container's capacity is 3 liters.
- Carlos filled the container with orange juice to 41/49 of its capacity.

Step 1: Find the fraction of the container's capacity that Carlos filled with orange juice.
Fraction of the container's capacity filled = 41/49

Step 2: Multiply the fraction by the total capacity of the container to find the amount of orange juice poured into the container.
Amount of orange juice poured = (41/49) × 3 liters
Amount of orange juice poured = (41 × 3) / 49 liters
Amount of orange juice poured = 123 / 49 liters
Amount of orange juice poured = 2.51 liters (rounded to two decimal places)

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

### Answer: 2.51

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?

Claude-3 Sonnet:

To solve this problem, we need to find the distance covered by the train in 5 hours, given its speed of 39 kilometers per hour.

Given information:
- Speed of the train = 39 kilometers per hour
- Time = 5 hours

To find the distance covered, we use the formula:
Distance = Speed × Time

Step 1: Substitute the given values into the formula.
Distance = 39 kilometers per hour × 5 hours

Step 2: Perform the multiplication.
Distance = 195 kilometers

Therefore, the train would cover a distance of 195 kilometers in 5 hours if it travels at a constant speed of 39 kilometers per hour.

### Answer: 195 kilometers

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?

Claude-3 Sonnet:

To solve this problem, we need to find the value of the rare coin in dollars and then add it to the amount of money Jenny already has.

Given information:
- Jenny has $3.
- The rare coin is worth 4/37 dollars.

Step 1: Convert the fraction 4/37 to a decimal value.
4/37 = 0.108108... (rounded to three decimal places) = 0.108

Step 2: Find the value of the rare coin in dollars.
Value of the rare coin = 0.108 dollars

Step 3: Find the total amount of money Jenny has by adding the value of the rare coin to the money she already has.
Total amount of money = Jenny's initial money + Value of the rare coin
Total amount of money = $3 + $0.108
Total amount of money = $3.108

Therefore, Jenny has $3.108 altogether after finding the rare coin.

### Answer: 3.108

Expected answer: 115/37

Correct? No

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

Claude-3 Sonnet:

To solve this problem, we need to find the total amount of money Henry saved in 5 weeks.

Given information:
- Henry saved $17 each week.
- We need to find the total amount saved in 5 weeks.

Step 1: Find the amount saved in 1 week.
Amount saved in 1 week = $17

Step 2: Find the total amount saved in 5 weeks.
Total amount saved in 5 weeks = Amount saved in 1 week × Number of weeks
Total amount saved in 5 weeks = $17 × 5
Total amount saved in 5 weeks = $85

Therefore, Henry saved $85 in 5 weeks.

### 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?

Claude-3 Sonnet:

To solve this problem, we need to find the cost of the small sweet and then subtract it from the initial amount in the savings account.

Given information:
- You have $15 in your savings account.
- You spent 17/23 of a dollar on a small sweet.

Step 1: Convert the fraction 17/23 to a decimal.
17/23 = 0.7391...

Step 2: Find the cost of the small sweet.
Cost of the small sweet = 0.7391...

Step 3: Subtract the cost of the small sweet from the initial amount in the savings account.
Amount left in the savings account = Initial amount - Cost of the small sweet
Amount left in the savings account = $15 - $0.7391...
Amount left in the savings account = $14.2609...

Therefore, after buying the small sweet, you have $14.26 (approximately) left in your savings account.

### Answer: $14.26

Expected answer: 328/23

Correct? No