Reasoning and answer: We begin 3 years ago with 200 students, and moving forward to two years ago we find there were 200 * 1.5 = 300 students who passed. At the end of the subsequent year 50% more students pass than last year's 300, so that means 300 * 1.5 = 450 students pass. At the end of the current year there's another 50% increase over the previous year, meaning we have 450 * 1.5 = 675 students pass.
The answer: 675
What was the question?
Question: If there were 200 students who passed an English course three years ago, and each subsequent year until the current one that number increased by 50% of the previous year's number, how many students will pass the course this year?
There are 25 + 10 = 35 songs in the album. Therefore, it will take 35 x 3 = 105 minutes to play the songs in the album.
The answer: 105
Reverse engineering the question: Hansel has a created album on Spotify that contains 25 songs and each song is 3 minutes long. If she adds 10 more songs to the album with the same duration, how many minutes will it take her to finish all the songs in the album?
Reasoning and answer: Let x represent the number of passes thrown to the left side of the field. Right:2x. Center:x + 2. Total:x + 2x + x + 2 = 50. 4x + 2 = 50. 4x = 48. x = 12 passes.
The answer: 12
What was the question?
Question: A quarterback throws 50 passes in one game. He throws twice as many passes to the right of the field than he does to the left of the field. He throws 2 more passes to the center of the field than he did to the left. How many passes did he throw to the left side of the field?
Marge used half the $12006 for taxes, so she had 12006 / 2 = $6003 left. She used 1 / 3 of the leftover money on student loans, so she paid 6003 / 3 = $2001. After paying the student loans, she had 6003 - 2001 = $4002 left. She put $1000 in savings, so she had 4002 - 1000 = $3002 left. She invested 1000 / 5 = $200 in the stock market. After investing, she had 3002 - 200 = $2802 left for fun.
The answer: 2802
Reverse engineering the question: Marge had a winning lottery ticket for $12006 and wanted to spend some of it wisely before using on any fun things. She paid half of the lottery amount for the taxes on her winnings, then put a third of the leftover money towards her student loans. She put $1000 in savings and invested a fifth of that amount in the stock market. How many dollars does she have left for fun?
Reasoning and answer: Tomorrow Geoff will spend 60 * 4 = 240 dollars. Wednesday Geoff will spend 60 * 5 = 300 dollars. Total spent in three days is 60 + 240 + 300 = 600 dollars.
The answer: 600
What was the question?
Question: Today Geoff bought 2 pairs of sneakers and spent $60 equally between the two. Tomorrow, he's going to spend 4 times as much on sneakers than he did on Monday. Wednesday, he'll spend 5 times as much on sneakers than he did on Monday. How much will Geoff spend on sneakers over these three days?
Reasoning and answer: The supplier brought 300 ft - 250 ft = 50 fewer feet of metal roofing. Therefore the total amount of money Mr. Caiden has to pay for the remaining metal roofings is 50 feet * $8 / foot = $400.
The answer: 400
What was the question?
Question:
Mr. Caiden wants to do repairs to his house and requires 300 feet of metal roofing to do this. If each foot of roofing costs $8, and the supplier of the metal roofing brings in 250 feet of metal roofing for free, how much money is Mr. Caiden required to pay for the remaining metal roofing?