Q: Jim collects model cars, and he has 301 models total. Jim has 4 times as many Buicks as Fords, and 3 more than twice the number of Fords than Chevys. How many Buicks does Jim have?
A: Let x represent the number of Chevys. Fords:3 + 2x. Buicks:4(3 + 2x) = 12 + 8x. Total:x + 3 + 2x + 12 + 8x = 301. 11x + 15 = 301. 11x = 286. x = 26. Buicks:12 + 8(26) = 220. The answer is 220.
Question: Grandma left $124,600 in her will. She gave half of it to her favorite grandchild, Shelby. The rest was to be evenly divided among the remaining 10 grandchildren. How many dollars did one of the remaining 10 grandchildren receive?
Answer: Shelby = (1 / 2) * 124600 = $62,300. Remaining 10 = 62,300 / 10 = $6230. Each of the remaining grandchildren would receive $6230. The answer is 6230.
[Question]In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now?
[Answer]If Grant is currently 25 years old, he will be 25 + 5 = 30 years old in five years. If 2 / 3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1 - 2 / 3 = 1 / 3. If 2 / 3 represents 30 years, 3 / 3, which is the fraction representing the age of the hospital, represents 3 / 3 * 30 * 3 / 2 = 45 years. Currently, the hospital is 45 - 5 = 40 years old. The answer is 40.
Q: Jacque arrived in France and his suitcase weighed 5 pounds. While in France, he picked up 5 bottles of perfume that weighed 1.2 ounces each, 4 pounds of chocolate, 2 bars of soap that weighed 5 ounces each and 2 jars of jam that weighed 8 ounces each. Considering 16 ounces is the same as 1 pound, how much did Jacque's suitcase weigh on the return flight home?
A: He bought 5 bottles of perfume that weighed 1.2 oz each so they weighed 5 * 1.2 = 6 oz. 2 bars of soap weighed 5 oz each so they weighed 2 * 5 = 10 oz. 2 jars of jam weighed 8 oz each so they weighed 2 * 8 = 16 oz. The perfume is 6 oz, the soap is 10 oz and the jam is 16 oz for a total of 6 + 10 + 16 = 32 oz. 16 oz is 1 pound, and he had 32 oz in products so he had 32 / 16 = 2 pounds of products. His suitcase weighed 5 pounds, and the chocolate weighed 4 pounds and the remaining products weighed 2 pounds so his suitcase weighed 5 + 4 + 2 = 11 pounds. The answer is 11.
Question: In Fifi's closet, she hangs all of her clothes on colored plastic hangers. She has clothes hanging on 7 pink hangers, 4 green hangers, one less blue hanger than there are green hangers, and one less yellow hanger than there are blue hangers. What is the total number of colored hangers in Fifi's closet?
Answer: With 4 green hangers, 1 less blue hanger than there are green hangers is 4 - 1 = 3 blue hangers. With 3 blue hangers, 1 less yellow hanger less than there are blue hangers is 3 - 1 = 2 yellow hangers. With 7 pink hangers, the total number of colored hangers in Fifi's closet is 7 + 4 + 3 + 2 = 16 hangers. The answer is 16.
Q: Enrique has 2 132 contracts that he needs to shred. His paper shredder will only allow him to shred 6 pages at a time. How many times will he shred 6 units of paper until all of the contracts are shredded?
A:
He has 2 contracts that are 132 pages each so that's 2 * 132 = 264 pages. He can only shred 6 pages at a time so it will take him 264 / 6 = 44 units. The answer is 44.