Question: The Chrysler Building has 11 more floors than the Leeward Center. Together they have a total of 35 floors. How many floors does the Chrysler Building have?
Answer: Let L = Leeward Center. Chrysler = L + 11. L + L + 11 = 35. 2L + 11 = 35. 2L = 24. Leeward = 12 floors. Chrysler = 12 + 11 = 23 floors. The Chrysler Building has 23 floors. The answer is 23.
[Question]Ali had a collection of seashells. He started with 180 seashells. He then gave away 40 seashells to his friends. He also gave 30 seashells to his brothers. If he sold half of the remaining seashells, how many seashells did he have left?
[Answer]When he gave 40 seashells to his friends, Ali had 180 - 40 = 140 seashells. When he gave another 30 seashells to his brothers, he had 140 - 30 = 110 seashells. He also sold half of the seashells, a total of 1 / 2 * 110 = 55 seashells. He was left with 110 - 55 = 55 seashells. The answer is 55.
Q: Liza bought 10 kilograms of butter to make cookies. She used one-half of it for chocolate chip cookies, one-fifth of it for peanut butter cookies, and one-third of the remaining butter for sugar cookies. How many kilograms of butter are left after making those three kinds of cookies?
A: Liza used 10 / 2 = 5 kilograms of butter for the chocolate chip cookies. Then, she used 10 / 5 = 2 kilograms of butter for the peanut butter cookies. She used 5 + 2 = 7 kilograms of butter for the chocolate and peanut butter cookies. So, only 10 - 7 = 3 kilograms of butter was left. Then, Liza used 3 / 3 = 1 kilograms of butter for the sugar cookies. Therefore, only 3 - 1 = 2 kilograms of butter were left. The answer is 2.
Question: Mary is making a model sailboat. She wants to add three sails: a rectangular sail that measures 5 inches by 8 inches and two right triangular sails, one that's 3 inches long at the bottom and 4 inches tall and one that's 4 inches long at the bottom and 6 inches tall. (Remember you can find the area of a triangle by dividing the area of a square with the same height and length by 2). How many square inches of canvas does she need total?
Answer: First find the area of the square sail: 5 inches * 8 inches = 40 square inches. Then find the area of a square sail with the same height and length as the first triangular sail: 3 inches * 4 inches = 12 square inches. Then divide the area in two to find the area of the triangular sail: 12 square inches / 2 = 6 square inches. Then find the area of a square sail with the same height and length as the second triangular sail: 4 inches * 6 inches = 24 square inches. Then divide the area in two to find the area of the triangular sail: 24 square inches / 2 = 12 square inches. Then add up the areas of all the sails to find the total amount of canvas needed: 12 square inches + 6 square inches + 40 square inches = 58 square inches. The answer is 58.
[Question]Unique is making biscuits. She has a sheet of dough that is 12 inches by 12 inches. She makes square biscuits and each biscuit is 3 inches by 3 inches. How many biscuits can she make with this dough?
[Answer]She has 144 square inches of dough because 12 times 12 equals 144. Each biscuit uses 9 square inches of dough because 3 times 3 equals 9. She can make 16 biscuits because 144 divided by 9 equals 16. The answer is 16.
[Question]Matthew and his brother Shawn played swimming-pool-basketball. Each basket was worth 3 points. Matthew scored 9 points. Shawn scored 6 points. What is the total number of baskets made during this game?
[Answer]
Matthew scored 9 points and there are 3 points per basket, so he made 9 / 3 = 3 baskets. Shawn scored 6 points, so he made 6 / 3 = 2 baskets. The total number of baskets made is 3 + 2 = 5 baskets made. The answer is 5.