First find how many pieces are total in each puzzle. 8 puzzles * 300 pieces each = 2400 pieces. Next, 5 puzzles * 500 pieces each = 2500 pieces. All of the puzzles have 2400 pieces + 2500 pieces = 4900 pieces total. He will work a maximum of 7 hours each day * 100 pieces per hour = 700 pieces per day. So he will end up taking 4900 pieces total / 700 pieces per day = 7 days total.
The answer: 7
Reverse engineering the question: Pablo likes to put together jigsaw puzzles. He can put together an average of 100 pieces per hour. He has eight puzzles with 300 pieces each and five puzzles with 500 pieces each. If Pablo only works on puzzles for a maximum of 7 hours each day, how many days will it take him to complete all of his puzzles?
Reasoning and answer: Out of 3 wands purchased, Kate sold her friends 3 wands - 1 wand = 2 wands. For 2 wands she charged $130, so for 1 wand she charged $130 / 2 wands = $65 / wand. Since she charged $5 more for each wand than she paid, Kate paid $65 - $5 = $60 for each wand.
The answer: 60
What was the question?
Question: While at Wizards Park, Kate buys 3 magic wands, one for herself and two for her friends. When she returns she sells the wands to her friends for $5 more than she paid. If she collected $130 after the sale, how much money did each wand cost?
Let x be the amount spent on a shirt. Greg spent 2x + 9 dollars on shoes. 300 = x + (2x + 9). 300 = 3x + 9. 291 = 3x. x = 97$. Greg spent 97$ on a shirt.
The answer: 97
Reverse engineering the question: While shopping, Greg spent 300$ on a shirt and shoes. If Greg spent 9 more than twice as much on shoes as he did a shirt, how much did Greg spend on a shirt?
Reasoning and answer: First find Devin's new height by adding his growth to the original height: 65 inches + 3 inches = 68 inches. Then subtract 66 inches from Devin's height to find how many extra inches of height he has: 68 inches - 66 inches = 2 inches. Then multiply the number of extra inches by the percentage increase per inch to find the total percentage increase in his chances: 2 inches * 10% / inch = 20%. Then add the percentage increase to the base percentage to find Devin's overall chance of making the basketball team: 10% + 20% = 30%.
The answer: 30
What was the question?
Question: The chances of making the junior high basketball team start at 10% if you're 66 inches and increase 10% for every additional inch of height. Devin starts out as 65 inches tall, then grows 3 inches. What are his chances of making the basketball team?
The first day he saw 50 oysters + 72 crabs = 122 animals. On the second day, he saw 1 / 2 * 50 oysters = 25 oysters. The number of crabs by the beach on the second day was 2 / 3 * 72 crabs = 48. He saw 48 crabs + 25 oysters = 73 animals on the second day. The total for the two days is 73 animals + 122 animals = 195 animals.
The answer: 195
Reverse engineering the question: There are 50 oysters on the rocks at La Push Park and 72 crabs by the beach. Eric, who loves walking by the beach, makes a note of this and goes home. The next day, he realizes only half the number of Oysters were on the rocks, and only 2/3 the number of crabs as the previous day are on the beach. How many oysters and crabs did he count in total in the two days?
The range of scores is the difference between the highest and the least score so 75 = 98 - least score. Then the least score = 98 - 75 = 23. Mark scored twice as much as the least score which is 2 * 23 = 46.
The answer: 46
Reverse engineering the question:
In a math test, Mark scored twice as much as the least score. If the highest score is 98 and the range of the scores is 75, what was Mark's score?