Q: Bertha plays tennis. Every ten games, one of her tennis balls wears out. Every five games, she loses a ball. Every four games, she buys a canister of three balls. She started with two balls and gave one to her partner. After twenty games, how many tennis balls does she have?
A: Bertha wears out 20 / 10 = 2 tennis balls in 20 games. She loses 20 / 5 = 4 tennis balls in 20 games. She buys canisters of 3 * 20 / 4 = 15 tennis balls in 20 games. Bertha started with 2 balls and gave 1 away, so she has 2 + 15 - 2 - 4 - 1 = 10 tennis balls after twenty games. The answer is 10.
Question: Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?
Answer: Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $32. In June, Derek has $32 * 2 = $64. In July, Derek has $64 * 2 = $128. In August, Derek has $128 * 2 = $256. In September, Derek has $256 * 2 = $512. In October, Derek has $512 * 2 = $1024. In November, Derek has $1024 * 2 = $2048. By December, Derek has $2048 * 2 = $4096 to save. The answer is 4096.
[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: Together 3 friends watched 411 short videos. Kelsey watched 43 more than Ekon. Ekon watched 17 less than Uma. How many videos did Kelsey watch?
A: Let U = the number of videos Uma watched. Ekon = U - 17. Kelsey = (U - 17) + 43 = U + 26. U + U - 17 + U + 26 = 411. 3U + 9 = 411. 3U = 402. U = 134. Kelsey = 134 + 26 = 160 videos. Kelsey watched 160 videos. The answer is 160.
Question: The teacher agrees to order pizza for the class. For every student in the class, she will buy 2 pieces of cheese and 1 piece of onion and they will eat exactly that amount. A large pizza has 18 slices. She orders 6 total pizzas and there are 8 pieces of cheese and 4 pieces of onion leftover. How many students are in the class?
Answer: Cheese pizzas are 2 / 3 of the pizza's purchased because 2 / (2 + 1) = 2 / 3. She buys 4 cheese pizzas because 6 x (2 / 3) = 4. These give her 72 pieces of cheese pizza because 4 x 18 = 72. The students at 64 pieces of cheese because 72 - 8 = 64. There are 32 students in her class because 64 / 2 = 32. The answer is 32.
Q: At a gym, the blue weights are 2 pounds each, and the green weights are 3 pounds each. Harry put 4 blue weights and 5 green weights onto a metal bar. The bar itself weighs 2 pounds. What is the total amount of weight, in pounds, of Harry's custom creation?
A:
The blue weights weigh 4 * 2 = 8 pounds. The green weights weigh 5 * 3 = 15 pounds. The weights weigh 8 + 15 = 23 pounds. The total is then 23 + 2 = 25. The answer is 25.