Question: A machine fills 150 cans of paint every 8 minutes. How many minutes does it take this machine to fill 675 cans?
Answer: To know how many groups of 150 cans there are in 675 cans, we calculate 675 150 = 4.5. For each of these groups, 8 minutes are needed, so it takes 8 4.5 = 36 minutes. The answer is 36.
[Question]A museum has eight different wings displaying four times as many artifacts as paintings displayed. Three of the wings are dedicated to paintings. The artifacts are divided evenly among the remaining wings. One painting is so large it takes up an entire wing, and the other two wings house 12 smaller paintings each. How many artifacts are in each artifact wing?
[Answer]The museum has 2 * 12 + 1 = 25 paintings displayed in the painting wings. There are 4 times as many artifacts displayed, so there are 25 * 4 = 100 artifacts. There are 8 wings and 3 are painting wings, so there are 8 - 3 = 5 artifact wings. Each artifact wing has 100 / 5 = 20 artifacts in it. The answer is 20.
Q: Justin needs to read at least 100 pages or more of his book in one week to pass his class. He has read 10 pages already on the first day. Assuming he reads twice the amount of pages as the first day each day in the remaining 6 days, how many pages will he have read after the week is over?
A: 10 pages per day on day 1 * 2 = 20 pages per day for days 2 through 7. 20 * 6 remaining days = 120 pages total from days 2 through 7. 10 pages day 1 + 120 pages days 2 through 7 = 130 total pages read in one week. The answer is 130.
Question: Buffy and Oz went to dinner. They shared an appetizer that cost $9.00. Each of their entrees was $20.00 and they shared a dessert that was $11.00. If they left a 30% tip, what was the entire price of the meal?
Answer: Each of their entrees cost $20.00 so they cost 2 * 20 = $40.00. The appetizer was $9.00, the main meal was $40.00 and the dessert was $11.00 for a total of $60.00. The entire meal cost $60.00 and they left a 30% tip which came to 60 * .30 = $18.00. The meal was $60.00 and the tip was $18.00 so the total bill came to 60 + 18 = $78.00. The answer is 78.
[Question]Tracy, John and Jake found their combined weight to be 158 kilograms. If Tracy weighs 52 kg and Jake weighs 8kg more than Tracy, what is the range of their weights?
[Answer]Jake weighs 8kg more than 52 kg which is 8 + 52 = 60 kg. Tracy and Jake together weigh 60 + 52 = 112kg. John therefore weighs 158 - 112 = 46 kg. The range of their weights is 60 - 46 = 14kg. The answer is 14.
[Question]At the Mystic Aquarium, sharks are fed four buckets of fish each day. The dolphins are fed half as many buckets as the sharks while the other sea animals are fed five times as many buckets as the sharks. How many weeks will 546 buckets of fish last?
[Answer]
The dolphins are fed 4 / 2 = 2 buckets of fish each day. The sea animals are fed 4 x 5 = 20 buckets of fish each day. So, the Mystic Aquarium needs 4 + 2 + 20 = 26 buckets of fish each day. Thus in a week, it needs 26 x 7 = 182 buckets of fish. Therefore, 546 buckets of fish will last for 546 / 182 = 3 weeks. The answer is 3.