Reasoning and answer: The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y.
The answer: 160
What was the question?
Question: Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were 192 inches tall, how tall were the sunflowers from Packet B?


To make a profit of $80, she needs to make $80 + $20 = $100. She needs to sell $100 / $2 = 50 cups of lemonade.
The answer: 50
Reverse engineering the question: Alexa has a lemonade stand where she sells lemonade for $2 for one cup. If she spent $20 on ingredients, how many cups of lemonade does she need to sell to make a profit of $80?


Reasoning and answer: Tim has 152 photos - 100 photos = 52 photos. When Tim has 52 photos, then Paul has 52 + 10 photos = 62 photos. Tim and Paul have together 52 photos + 62 photos = 114 photos. That leaves Tom with 152 photos - 114 photos = 38 photos.
The answer: 38
What was the question?
Question: Tom, Tim, and Paul are collecting photos of cars. Paul has 10 photos more than Tim. Tim has one hundred photos less than the total amount of photos which is 152. How many photos does Tom have?


Lorene has 25 x 3 = 75 pieces of stationery. Thus, Georgia has 75 - 25 = 50 fewer pieces of stationery than Lorene.
The answer: 50
Reverse engineering the question: Georgia has 25 pieces of stationery while Lorene has three times as many pieces of stationery as Georgia. How many fewer pieces of stationery does Georgia have than Lorene?


Reasoning and answer: She found 10 quarters that are $0.25 each so she found 10 * .25 = $2.50. She found 3 dimes that are $0.10 each so she found 3 * .10 = $0.30. She found 3 nickels that are $0.05 each so she found 3 * .05 = $0.15. She found 5 pennies that are $0.01 each so she found 5 * .01 = $0.05. All total she found 2.50 + .30 + .15 + .05 = $3.00 in change.
The answer: 3
What was the question?
Question: When Harriett vacuumed the sofa and chair she found 10 quarters, 3 dimes, 3 nickels, and 5 pennies. How much money did Harriett find?


Reasoning and answer: First find how many kids from Riverside High are rejected: 20% * 120 kids = 24 kids. Then find how many kids from West Side High are rejected: 70% * 90 kids = 63 kids. Then find how many kids from Mountaintop High are rejected: 50 kids / 2 = 25 kids. Then add the number of kids from each school to find the total number of kids: 120 kids + 90 kids + 50 kids = 260 kids. Then subtract all the kids who were rejected from the total number of kids to find the number who got in: 260 kids - 24 kids - 63 kids - 25 kids = 148 kids.
The answer: 148
What was the question?
Question:
Fern is checking IDs to get into an R-rated movie. She denied 20% of the 120 kids from Riverside High, 70% of the 90 kids from West Side High, and half the 50 kids from Mountaintop High. How many kids got into the movie?