Reasoning and answer: Let R = Roman's gallons. Remy = 3R + 1. 4R + 1 = 33. 4R = 32. R = 8. Remy used 25 gallons of water for his shower.
The answer: 25
What was the question?
Question: Roman and Remy took separate showers. Remy used 1 more gallon than 3 times the number of gallons that Roman used for his shower. Together the boys used 33 gallons of water. How many gallons did Remy use?
Let s be the number of still lifes Bethany saw and p be the number of portraits. We know that s + p = 80 and s = 4p. Substituting the second equation into the first equation, we get 4p + p = 80. Combining like terms, we get 5p = 80. Dividing both sides by 5, we get p = 16.
The answer: 16
Reverse engineering the question: At the museum, Bethany saw 4 times more still lifes than portraits. If she saw 80 paintings total, how many portraits did she see?
Reasoning and answer: Steve started with 2 * 12 = 24 pencils. He gave Matt 6 + 3 = 9 pencils. After giving away the pencils, Steve will have 24 9 6 = 9 pencils left.
The answer: 9
What was the question?
Question: Steve has 2 boxes of pencils with 12 pencils in each box. He gave Matt 3 more pencils than he gave to Lauren. If Steve gave 6 pencils to Lauren, how many pencils does he have left?
Nick has made 20 * $10 = $200 from the chocolate oranges. This means he needs to raise another $1000 - $200 = $800. He needs to sell a total of $800 / $5 = 160 candy bars to reach his goal.
The answer: 160
Reverse engineering the question: Nick is trying to raise money for a charity. He is selling candy bars for $5. He is also selling chocolate oranges for $10. He wants to raise $1000. He only had 20 chocolate oranges that he sold out. How many candy bars does Nick need to sell to reach his goal?
Reasoning and answer: First find the total area of the forest: 4 miles * 6 miles = 24 square miles. Then find the total number of trees in that area: 600 trees / square mile * 24 square miles = 14400 trees. Then find the number of trees all the loggers can cut down in one day: 8 loggers * 6 trees / logger = 48 trees. Then divide the total number of trees by the number cut down per day to find the number of days it takes to clear the forest: 14400 trees / 48 trees / day = 300 days. Then divide the time in days by the number of days per month to find the time in months: 300 days / 30 days / month = 10 months.
The answer: 10
What was the question?
Question: One logger can cut down 6 trees per day. The forest is a rectangle measuring 4 miles by 6 miles, and each square mile has 600 trees. If there are 30 days in each month, how many months will it take 8 loggers to cut down all the trees?
Reasoning and answer: There will be a total of 1 + 4 = 5 people who will share the muffins. Each of them will have 20 / 5 = 4 muffins.
The answer: 4
What was the question?
Question:
Jessie invited 4 friends over to play. They made muffins for a snack and Jesse wants to divide them equally between herself and her friends. If they made 20 muffins in total, how many will each person have?