Q: Hannah hangs a 2 foot by 4 foot painting on a 5 foot by 10 foot wall. What percentage of the wall is taken up by the painting?
A: First find the area of the painting: 2 feet * 4 feet = 8 square feet. Then find the area of the wall: 5 feet * 10 feet = 50 square feet. Then divide the area of the painting by the area of the wall and multiply by 100% to express the answer as a percentage: 8 square feet / 50 square feet * 100% = 16%. The answer is 16.
Question: Megan pays $16 for a shirt that costs $22 before sales. What is the amount of the discount?
Answer: Let x be the amount of the discount. We have, 22 - x = $16. We change the writing of the equation:. 22 - x + x = 16 + x. So, 22 = 16 + x. We then Remove 16 from both sides:. 22 - 16 = 16 + x - 16. So, 22 - 16 = x. So, the amount of the discount is x = $6. The answer is 6.
[Question]Braelynn has 24 knives in her kitchen and twice as many teaspoons as knives. If she bought 1/3 as many additional knives and 2/3 as many additional teaspoons, what would be the total number of cutlery pieces she has in her kitchen?
[Answer]Braelynn bought 1 / 3 * 24 = 8 more knives to add to her kitchen. The total number of knives in her kitchen is now 24 + 8 = 32 knives. In her kitchen, Braelynn currently has 2 * 24 = 48 teaspoons. When she buys 2 / 3 times more teaspoons, the total number increases by 2 / 3 * 48 = 32. So she will have a total of 32 + 48 = 80 teaspoons. The total number of cutlery pieces Braelynn will have in her kitchen is 80 + 32 = 112. The answer is 112.
Q: The leak in Jerry's roof drips 3 drops a minute into the pot he put under it. Each drop is 20 ml, and the pot holds 3 liters. How long will it take the pot to be full?
A: First find the pot's volume in ml: 3 liters * 1000 ml / liter = 3000 ml. Then find the number of ml that enter the pot per minute: 3 drops / minute * 20 ml / drop = 60 ml / minute. Then divide the volume of the pot by the volume that enters it every minute: 3000 ml / 60 ml / minute = 50 minutes. The answer is 50.
Question: Janice gets paid $10 an hour for the first 40 hours she works each week, and $15 each hour of overtime after that. If Janice works 60 hours one week, how much money does she make?
Answer: Janice makes during her first 40 hours of work $10 / hour * 40 hours = $400. Janice works 60 hours - 40 hours = 20 hours during her overtime. Janice makes from working overtime $15 * 20 = $300. The total she makes a week is $400 + $300 = $700. The answer is 700.
Q: Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the 3 people work in total?
A:
Armand = (1 / 3) * 12 = 4 hours. Ella = 2 * 12 = 24 hours. Total hours = 12 + 4 + 24 = 40 hours. They worked a total of 40 hours. The answer is 40.