The lake is 20 miles across because 2 x 10 = 20. If takes .5 hours to go from bottom to top because 30 / 60 = .5. The lake is five miles from bottom to top because 10 x .5 = 5. The square mileage is 100 because 20 x 5 = 100.
The answer: 100
Reverse engineering the question: A boat is traveling across a square lake at 10 MPH. It takes 2 hours to go across the length of the lake. It then travels the whole width of the lake at the same speed, which takes 30 minutes. How many square miles is the lake?
Reasoning and answer: First find the screen area of Bill's TV: 48 inches * 100 inches = 4800 square inches. Then find the screen area of Bob's TV: 70 inches * 60 inches = 4200 square inches. Then subtract the size of the smaller TV from the size of the bigger TV to find the size difference: 4800 square inches - 4200 square inches = 600 square inches. Then multiply the size difference by the weight per square inch to find the weight difference: 600 square inches * 4 oz / square inch = 2400 oz. Then divide the weight difference in ounces by the number of ounces per pound to find the weight difference in pounds: 2400 oz / 16 oz / pound = 150 pounds.
The answer: 150
What was the question?
Question: Bill gets a flat-screen TV that measures 48 inches by 100 inches. His brother Bob gets a TV that measures 70 inches by 60 inches. If the TVs weigh 4 oz per square inch of screen space, how much more does the heavier TV weigh in pounds? (There are 16 ounces per pound).
Ella wanted 2 while Emma wanted 2 so 2 + 2 = 4 hotdogs. Luke could eat twice as his sisters so 2 * 2 = 4 hotdogs. Hunter could eat 1 1 / 2 times the amount of his sisters so 1.5 * 4 = 6 hotdogs. All total, Matthew needs to cook, 4 + 4 + 6 = 18 hot dogs.
The answer: 14
Reverse engineering the question: Matthew asked his children how many hotdogs they wanted for dinner. Both Ella and Emma agreed they wanted 2 hotdogs each. Luke said he could eat twice the amount of hotdogs as his sisters while Hunter said he could only eat 1 and half times the total amount of his sisters. How many hotdogs did Matthew need to cook?
Reasoning and answer: All the students will present their projects in 32 * 5 = 160 minutes. It will take 160 / 40 = 4 periods for all the students to present their projects.
The answer: 4
What was the question?
Question: A class has 32 students and they all need to present their projects. Every period is 40 minutes long. How many periods will it take for every student to present their project if they have 5 minutes to do so?
After Lyndee ate, there were 11 - 1 = 10 pieces of chicken left. Lyndee had 10 / 2 = 5 friends over.
The answer: 5
Reverse engineering the question: Mrs. Crocker made 11 pieces of fried chicken for Lyndee and her friends. If Lyndee only ate one piece but each of her friends got to eat 2 pieces, how many friends did Lyndee have over?
Lisa spends $40 on t - shirts / 2 = $20 on jeans. She also spends $40 on t - shirts * 2 = $80 on coats. So Lisa has spent a total of 40 + 20 + 80 = $140. Carly spends $40 / 4 = $10 on t - shirts. She also spends $20 per pair of jeans * 3 = $60 on jeans. She then also spends $80 Lisa's cost for coats / 4 = $20 on coats. So Carly has spent a total of 10 + 60 + 20 = $90. Lisa and Carly have therefore spent a total of 140 + 90 = $230.
The answer: 230
Reverse engineering the question:
Lisa and Carly go shopping together. Lisa spends $40 on t-shirts then spends half of this amount on jeans and twice this amount on coats. Carly spends only a quarter as much as Lisa on t-shirts but spends 3 times as much on jeans and a quarter of the amount Lisa spent on coats. In dollars, how much did Lisa and Carly spend in total?