He is going to hike 8 * = 40 hours. That means he will be hiking for 40 * 2.5 = 100 miles. So he needs 100 * .5 = 50 pounds of supplies. With the resupply he can get up to 1 + .25 = 1.25 times his initial pack. That means his initial pack has to weigh 50 / 1.25 = 40 pounds.
The answer: 40
Reverse engineering the question: A man loves to go hiking. He knows that he has to pack about .5 pounds of supplies for every mile he hikes. He plans to go for a very long hike. He knows that he can get 1 resupply during the hike that will be 25% as large as his first pack. He can hike at a rate of 2.5 mph. He is going to hike 8 hours a day for 5 days. How much does he need to bring with his first pack?


Reasoning and answer: First find the total number of guppies the betta fish need: 5 fish * 7 guppies / fish = 35 guppies. Then add the number of guppies the eel needs to find the total number needed: 35 guppies + 20 guppies = 55 guppies.
The answer: 55
What was the question?
Question: Jason has a moray eel that eats 20 guppies a day and 5 betta fish who each eat 7 guppies a day. How many guppies per day does she need to buy?


Let X be the money Frank had originally. Frank spent 1 / 5 * X on groceries. Frank spent 1 / 4 * (X - 1 / 5 * X) on a magazine. Frank has X - 1 / 5 * X - 1 / 4 * (X - 1 / 5 * X) = $360 left in his wallet. Multiplying through the parentheses, we get X - 1 / 5 * X - 1 / 4 * X + 1 / 20 * X = $360. Combining like terms, we get 12 / 20 * X = $360. Dividing both sides by 12 / 20, we get X = $600.
The answer: 600
Reverse engineering the question: Frank spent 1/5 of his money to buy groceries. He then spent 1/4 of the remaining money to buy a magazine. If he had $360 left in his wallet, how much money did he have at first?


Reasoning and answer: Before the typhoon, their farm had a total of 50 trees + 30 trees = 80 trees. If there was 1 more than Mahogany than Narra tree that fell, then this means there were 2 Narra trees and 2 + 1 = 3 Mahogany trees that fell during the typhoon. So, Bea's mom planted 2 trees x 2 = 4 Narra trees. She also planted 3 trees x 3 = 9 Mahogany trees. So, her mom planted 4 trees + 9 trees = 13 more trees. After the typhoon, they only had 80 trees - 5 trees = 75 trees left. Therefore, there are 75 trees + 13 trees = 88 trees now.
The answer: 88
What was the question?
Question: Bea's mom planted 50 Mahogany and 30 Narra trees on their farm. Due to a typhoon, a total of 5 trees fell. One more Mahogany tree fell than the number of Narra trees that fell. A month after the typhoon, Bea's mom planted twice as much as the number of the Narra and thrice the number of Mahogany trees that fell. How many trees are now on the farm?


She needs 60 inches of rope because 10 x 6 equals 60. The six - foot length of rope is 72 inches long because 6 x 12 = 72. The six - foot length of rope would give her 12 pieces because 72 / 6 = 12. The six - foot length is long enough because 12 > 10. Each 1 - foot rope equals 12 inches. She would need 5 of the 1 - foot ropes because 60 / 12 = 5. If she bought one - foot ropes it would cost $6.25 because 5 x 1.25 = 6.25. The cheapest rope to buy is the 6 - foot rope because 5 < 6.25.
The answer: 5
Reverse engineering the question: Tanesha needs to buy rope so cut into 10 pieces that are each six inches long. She sees a 6-foot length of rope that cost $5 and also sees 1-foot lengths of rope that cost $1.25 each. What is the least she has to spend to get the rope she needs?


Jerome has $43 x 2 = $86. After giving Meg $8, he had only $86 - $8 = $78 left. Then he gave Bianca $8 x 3 = $24. So, Jerome has only $78 - $24 = $54 left.
The answer: 54
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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Half of Jerome's money was $43. He gave $8 to Meg and thrice as much to Bianca. How much does Jerome have left?