The area of the largest room is 45 ft x 30 ft = 1350 sq ft. The area of the smallest room is 15 ft x 8 ft = 120 sq ft. The difference between the two is 1350 sq ft - 120 sq ft = 1230 sq ft.
The answer: 1230
Reverse engineering the question: The largest room in Mrs. McAvoy's house is 45 feet wide and 30 feet long. The smallest room in that same house is 15 feet wide and 8 feet long. What is the difference in area between the largest room and the smallest room?
Reasoning and answer: Let X be the shoe price. The jersey's price is 1 / 4 * X. Jeff bought 6 pairs of shoes and 4 jerseys for 6 * X + 4 * (1 / 4X) = $560. Multiplying through the parentheses produces 6X + X = $560. Combining like terms produces 7X = $560. Dividing both sides by 7 produces X = $80, so the shoe price is $80. Since Jeff bought 6 pairs of shoes, he spent 80 * 6 = $480 on shoes.
The answer: 480
What was the question?
Question: Jeff bought 6 pairs of shoes and 4 jerseys for $560. Jerseys cost 1/4 price of one pair of shoes. Find the shoe's price total price.
The school bought 20 x 10 = 200 boxes of pencils. The pencils cost 200 x $2 = $400. The school bought 10 x 5 = 50 boxes of markers. The markers cost 50 x $4 = $200. Thus, the school spent a total of $400 + $200 = $600.
The answer: 600
Reverse engineering the question: A school bought 20 cartons of pencils at the start of school. Pencils come in cartons of 10 boxes and each box costs $2. The school also bought 10 cartons of markers. A carton has 5 boxes and costs $4. How much did the school spend in all?
Reasoning and answer: If each sandwich comes with 4 strips of pepper, and each pepper makes 8 slices, then each sandwich uses 4 / 8 = 0.5 pepper. If the Sandwich Shop serves a sandwich every 5 minutes, then per hour the Shop serves 60 / 5 = 12 sandwiches. Thus, per hour, the Shop uses 12 * 0.5 = 6 jalapeno peppers. And in an 8 - hour day, the Sandwich Shop uses 8 * 6 = 48 jalapeno peppers.
The answer: 48
What was the question?
Question: The Eat "N Go Mobile Sausage Sandwich Shop specializes in the sale of spicy sausage sandwiches served on a toasted bun. Each sausage sandwich comes with four strips of jalapeno pepper, one sausage patty, and a tablespoon of Stephen's famous special sauce. If a single jalapeno pepper makes 8 slices, and the Sandwich Shop serves a sandwich every 5 minutes, how many jalapeno peppers are required by the Sandwich Shop to serve all customers during an 8-hour day?
She needs 2 drip coffees that are $2.25 each so 2 * 2.25 = $4.50. She needs 2 lattes that are $4.00 each so 2 * 4 = $8.00. She needs 2 cold brew coffees that are $2.50 each so 2 * 2.50 = $5.00. So the drips are $4.50, lattes are $8.00 plus $0.50 for syrup, cold brew is $5.00, a double shot for $3.50 and a cappuccino for $3.50 for a total of 4.50 + 8.00 + .50 + 5.00 + 3.50 + 3.50 = $25.00.
The answer: 25
Reverse engineering the question: It's Meghan's turn to pick up her team's coffee order. She needs 2 drip coffees that are $2.25 each and one double shot espresso that's $3.50. She needs 2 lattes that are $4.00 and needs to add vanilla syrup to one of those for an additional $0.50. She also needs 2 cold brew coffees that are $2.50 each and 1 cappuccino for $3.50. How much is the coffee order?
One quarter of $4 is (1 / 4) * $4 = $1. $1 is equivalent to 100 cents. 20 cents will buy 1 candy so 100 cents will buy 100 / 20 = 5 candies.
The answer: 5
Reverse engineering the question:
Jake is from a conservative household so during lunch at school one day, he gave one-quarter of his feeding allowance to a hungry friend. If candies cost 20 cents apiece and Jake's feeding allowance is $4, how many candies can his friend purchase with the money Jake gave to him?