[Question]Every time Janet folds her blanket its thickness doubles. If it starts out 3 inches thick, how thick will it be after 4 foldings?
[Answer]First find how thick the blanket will be after 1 folding: 3 inches * 2 = 6 inches. Then find how thick the blanket will be after 2 foldings: 6 inches * 2 = 12 inches. Then find how thick the blanket will be after 3 foldings: 12 inches * 2 = 24 inches. Then find how thick the blanket will be after 4 foldings: 24 inches * 2 = 48 inches. The answer is 48.
Q: Jimmy wants to play in the inflatable swimming pool in his backyard. The swimming pool is empty and the garage is locked, so he cannot use the hose to fill the pool. He finds a 2 gallon bucket and calculates that it takes 20 seconds to fill the bucket from the tap and carry it to the pool where he pours in the water. If the pool holds 84 gallons of water, how many minutes will it take Jimmy to fill the pool?
A: It will take 84 / 2 = 42 trips to fill the pool with water. This will take Jimmy 42 trips * 20 seconds per trip = 840 seconds. This means that Jimmy will spend 840 seconds * 1 minute / 60 seconds = 14 minutes filling the pool. The answer is 14.
Question: Mathilda is determined to pay back the money she owes a friend so she decides to pay an initial installment of $125. If she still has 75% left to pay, how much did she owe originally?
Answer: Percentage means per 100, so if she still owes 75%, she must have paid 100% - 75% = 25% of the original amount. 25% of the original amount = (25 / 100) * original amount = $125. Multiplying both sides by (100 / 25) gives: original amount = (100 / 25) * $125 = $500. The answer is 500.
[Question]Kevin's fish tank was leaking slowly at a rate of 1.5 ounces per hour. He planned to go to the fish tank store later that day to get a new tank, but it may be as long as 12 hours before he can return home with the new tank. Therefore, to collect the leaking fluid over that time, he placed a bucket underneath the tank that could hold twice the amount of fluid that would leak over 12 hours. What size bucket, in ounces, did he use?
[Answer]Over 12 hours, a leak of 1.5 ounces per hour for 12 hours would generate 1.5 * 12 = 18 ounces. A bucket that can hold twice the volume leaked is 18 * 2 = 36 ounces. The answer is 36.
Q: Luke is planning a trip to London and wants to see how long it will take him to travel there. He decides that he will take a bus to the town center, walk for 15 minutes to the train center, wait twice this long for the train to arrive, and then take the 6-hour train ride to London. If Luke’s entire trip takes him 8 hours, how many minutes does his bus ride take?
A: Removing the time of the train ride from the journey shows that his trip to get on the train took him 8 hours – 6 hours = 2 hours. Converting this time into minutes shows that getting to the train took 2 hours * 60 minutes / hour = 120 minutes. Waiting for the train to arrive took twice as long as his walk, so 15 minutes * 2 = 30 minutes. This means that his bus ride must have taken 120 minutes – 30 minutes - 15 minutes = 75 minutes. The answer is 75.
Question: Greg bought a 20-pack of granola bars to eat at lunch for the week. He set aside one for each day of the week, traded three of the remaining bars to his friend Pete for a soda, and gave the rest to his two sisters. How many did each sister get when they split them evenly?
Answer:
Greg kept 1 granola bar for each of the 7 days of the week, so there were 20 - 7 = 13 bars left. He traded 3 to his friend Pete, so there were 13 - 3 = 10 bars left. His 2 sisters split the rest evenly, so each got 10 / 2 = 5 granola bars. The answer is 5.