Q: Dexter and Jay are using a gallon of white paint to paint the walls. Dexter used 3/8 of the gallon of paint while Jay used 5/8 of a gallon of paint. If a gallon is equal to 4 liters, how many liters of paint were left from Dexter and Jay combined?
A: Dexter used 4 x 3 / 8 = 3 / 2 liters of paint. Jay used 4 x 5 / 8 = 5 / 2 liters of paint. Together, they used 3 / 2 + 5 / 2 = 4 liters of paint. Since each of them used a gallon of paint, then they both used 2 x 4 = 8 liters of paint together. Therefore, 8 - 4 = 4 liters of paint were left. The answer is 4.
Question: 50% of substitute teachers walk out after 1 hour of teaching. 30% of the remainder quit before lunch. If 60 substitute teachers show up at 7 AM, how many will be left after lunch?
Answer: First find the number of substitute teachers left after half quit: 60 teachers / 2 = 30 teachers. Then find how many teachers quit after an hour but before lunch: 30 teachers * 30% = 9 teachers. Then subtract that number from the number of teachers left after one hour to find how many are left after lunch: 30 teachers - 9 teachers = 21 teachers. The answer is 21.
[Question]Jason is mixing a batch of black paint. He needs to add 2 grams of charcoal for every 30 ml of water. If he adds 900 ml of water, how much charcoal does he add?
[Answer]First find how many ml of water Jason needs for 1 gram of charcoal: 30 ml / 2 grams = 15 ml / g. Then divide the amount of water Jason uses by the amount of water per gram of charcoal to find how much charcoal he uses: 900 ml / 15 ml / g = 60 g. The answer is 60.
Q: Osborn is testing a new way to get dressed in the morning on school days so he goes faster and can get up later. He tracks his time for the week and on Monday is takes him 2 minutes. On Tuesday it takes him 4 minutes. On Wednesday it takes him 3 minutes. On Thursday it takes him 4 minutes. Before Friday arrives he looks at his old way of getting dressed and sees that it was taking him 3 minutes on average to get dressed. How fast does he have to get dressed on Friday so his weekly average ties his old method?
A: If it takes on average 3 minutes to get dressed, then it takes 15 minutes total on the school week because 5 x 3 = 15. Thus far this week it has taken him 13 minutes to get dressed because 2 + 4 + 3 + 4 = 13. To tie his previous method, he needs to take 2 minutes on Friday because 15 - 13 = 2. The answer is 2.
Question: A used car lot has 24 cars and motorcycles (in total) for sale. A third of the vehicles are motorcycles, and a quarter of the cars have a spare tire included. How many tires are on the used car lot’s vehicles in all?
Answer: The used car lot has 24 / 3 = 8 motorcycles with 2 tires each. The lot has 24 - 8 = 16 cars for sale. There are 16 / 4 = 4 cars with a spare tire with 5 tires each. The lot has 16 - 4 = 12 cars with 4 tires each. Thus, the used car lot’s vehicles have 8 * 2 + 4 * 5 + 12 * 4 = 16 + 20 + 48 = 84 tires in all. The answer is 84.
Q: James buys 10 boxes of Capri-sun. Each box has 6 pouches in it. If he paid $12 how many cents does each pouch cost?
A:
He bought 10 * 6 = 60 pouches. It cost 12 * 100 = 1200 cents. So each pouch cost 1200 / 60 = 20 cents. The answer is 20.