The number of people in cars is 3 × 4 = 12. The number of people in taxis is 6 × 6 = 36. The number of people in vans is 2 × 5 = 10. In total 12 + 36 + 10 = 58 people went on the hike.
The answer: 58
Reverse engineering the question: The outdoor scouts went on a hike to see a waterfall. To get to the hike, the club members took 3 cars, 6 taxis and 2 vans. There were 4 people in each car, 6 people in each taxis and 5 people in each van. How many people went on the hike?


Reasoning and answer: Larry spent a total of $5 + $2 = $7. He has $15 + $7 = $22 at the beginning.
The answer: 22
What was the question?
Question: Larry spent $5 for lunch and gave his brother $2. How much did Larry have at the beginning if he has $15 now?


The bedroom set is $2000 and it’s currently 15% off so 2000 * .15 = $300.00 off. So the new price of the set is 2000 - 300 = $1,700.00. He signs up for the credit card so that’s 10% off so .10 * 1700 = $170.00. Now the set is 1700 - 170 = $1,530.00. He has a $200.00 gift card which brings the price to 1530 - 200 = $1,330.00.
The answer: 1330
Reverse engineering the question: Perry wants to buy a new modern bedroom set for $2000. He received $200.00 in gift cards over the holidays that he can use toward the set. The store is currently offering the entire set at 15% off. If he signs up for the store credit card and uses it to buy the set, he will save an additional 10% off on the discounted set. What is the final price of the set?


Reasoning and answer: 8:00 PM is equivalent to 20:00 hrs so he spent a total of 20 - 7 = 13 hours on the journey. He spent 25 + 10 + 25 = 60 minutes on stops. There are 60 minutes in an hour so he spent (60 / 60) = 1 hour on stops. Therefore, he spent 13 - 1 = 12 hours on the road.
The answer: 12
What was the question?
Question: William left Missouri by 7:00 AM and arrived at his hometown by 8:00 PM. He had 3 stops of 25, 10 and 25 minutes respectively during the journey. How many hours did he spend on the road?


First find the additional number of claims John can handle: 30% * 20 claims = 6 claims. Then add that amount to Jan's number of claims to find John's number of claims: 20 claims + 6 claims = 26 claims. Then add the 15 additional claims Missy can handle to find her number: 26 claims + 15 claims = 41 claims.
The answer: 41
Reverse engineering the question: Carla is dividing up insurance claims among 3 agents. Missy can handle 15 more claims than John, who can handle 30% more claims than Jan. If Jan can handle 20 claims, how many claims can Missy handle?


Removing the time of the train ride from the journey shows that his trip to get on the train took him 8 hours – 6 hours = 2 hours. Converting this time into minutes shows that getting to the train took 2 hours * 60 minutes / hour = 120 minutes. Waiting for the train to arrive took twice as long as his walk, so 15 minutes * 2 = 30 minutes. This means that his bus ride must have taken 120 minutes – 30 minutes - 15 minutes = 75 minutes.
The answer: 75
Reverse engineering the question:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
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Luke is planning a trip to London and wants to see how long it will take him to travel there. He decides that he will take a bus to the town center, walk for 15 minutes to the train center, wait twice this long for the train to arrive, and then take the 6-hour train ride to London. If Luke’s entire trip takes him 8 hours, how many minutes does his bus ride take?