Question: If a rectangle has a width of 42 inches and an area of 1638, how many rectangles of the same size would reach a length of 390 inches?
Answer: The rectangle has a length of 1638 in / 42in = 39 in. The number of rectangles required to reach 390 inches is 390 / 39 = 10 rectangles. The answer is 10.
[Question]Martha needs 4 cups of berries and 2 cups of heavy cream to make 1 quart of ice cream. She wants to make 1 quart of strawberry ice cream and 1 quart of raspberry ice cream. At the farmers market, the 2 cup packages of strawberries are $3.00 each and the 2 cup package of raspberries are $5.00 each. The heavy cream is sold for $4.00 for a 4 cup container. How much will it cost her to make 1 quart of each ice cream?
[Answer]She needs 4 cups of strawberries per quart of ice cream and the strawberries are sold in 2 cup packages. So 4 / 2 = 2 packages of strawberries. The strawberries cost $3.00 per package and she needs 2 so 3 * 2 = $6.00. She needs 4 cups of raspberries per quart of ice cream and the raspberries are sold in 2 cup packages. So 4 / 2 = 2 packages of raspberries. The raspberries cost $5.00 per package and she needs 2 so 5 * 2 = $10.00. Every quart needs 2 cups of heavy cream and she's making 2 quarts so 2 * 2 = 4 quarts. She will spend $6.00 on strawberries, $10.00 on raspberries and $4.00 on heavy cream bringing the total to 6 + 10 + 4 = $20.00. The answer is 20.
Q: Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary?
A: First find the total time Mary's trip takes: 630 feet / 90 feet / minute = 7 minutes. Then find the total time Ann's trip takes: 800 feet / 40 feet / minute = 20 minutes. Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = 13 minutes. The answer is 13.
Question: On Wednesday, 37 students played kickball. On Thursday, 9 fewer students played kickball. How many students played kickball on Wednesday and Thursday?
Answer: 37 - 9 = 28 students played kickball on Thursday. So, 37 + 28 = 65 students played kickball on Wednesday and Thursday. The answer is 65.
[Question]It takes Matt 2 minutes per problem to do his math homework with a calculator and 5 minutes per problem without a calculator. If Matt's assignment has 20 problems, how much time will using a calculator save?
[Answer]First find the time difference per problem: 5 minutes / problem - 2 minutes / problem = 3 minutes / problem. Then multiply that number by the number of problems to find the total time difference: 3 minutes / problem * 20 problems = 60 minutes. The answer is 60.
[Question]Daniela goes shopping during a sale. She finds out that the store has 40 percent off on shoes and 20 percent off dresses. If Daniela buys 2 pairs of shoes originally priced at $50 a pair and a dress originally priced at $100, how much money does she spend?
[Answer]
Two pairs of shoes at $50 a pair costs $50 x 2 = $100. The shoes are discounted by 40 percent so she only pays 100 - 40 = 60 percent of the original price. Therefore the two pairs of shoes cost $100 x 0.60 = $60. The dress is discounted by 20 percent so she only pays 100 - 20 = 80 percent of the original price. Therefore the dress costs $100 x 0.80 = $80. In total Daniela spends $60 + $80 = $140 for two pairs of shoes and a dress. The answer is 140.