Question: Lydia is planning a road trip with her family and is trying to plan a route. She has 60 liters of fuel and she will use all of this during her trip. She isn't sure how much fuel she is going to use in the first third of the trip but she knows she will need a third of all of her fuel for the second third of the trip, and half this amount for the final third of the trip. How much fuel, in liters, can Lydia use in the first third of the trip?
Answer: In the second third of the trip, Lydia is going to use 60 liters of fuel / 3 = 20 liters of fuel. In the final third of the trip, she needs half of this amount so she is going to be using 20 liters / 2 = 10 liters of fuel. So in the first third, Lydia used the remaining amount of fuel which is 60 total liters of fuel – 20 liters of fuel in the second third – 10 liters of fuel in the final third = 30 liters of fuel. The answer is 30.
[Question]Uncle Lou was given four bags of peanuts to eat on his 2-hour plane flight. Each bag contains 30 peanuts. If he eats all of the peanuts during the flight, one at a time, consumed at equally spaced intervals, what is the length of time, in minutes, between eating each peanut?
[Answer]Four bags of peanuts, with 30 peanuts per bag, is a total of 4 * 30 = 120 peanuts. Two hours is 60 * 2 = 120 minutes. Thus, consuming 120 peanuts, 1 at a time, at equally spaced intervals over two hours requires 120 / 120 = 1 minute intervals between peanuts. The answer is 1.
Q: To make a living, Carl needs to drive a car for 2 hours every day. After he got promoted he needs to drive for 6 more hours every week. How many hours will Carl drive in two weeks?
A: Every week Carl needs to drive additional 6 hours, so in two weeks that would make 2 * 6 = 12 additional hours. Two weeks of driving 2 hours every day, means 14 * 2 = 28 hours of driving. So during two weeks, Carl will drive 28 + 12 = 40 hours. The answer is 40.
Question: Madison and Gigi have to run a total of 2400 meters in gym class. The track is 150 meters around. If they each have run 6 laps, how many more laps do they have to run before they reach 2400 meters?
Answer: The have run 12 laps because 6 + 6 = 12. They have run 1,800 meters because 12 x 150 = 1,800. They have 600 more meters to run because 2,400 - 1,800 = 600. The have to run 4 more laps because 600 / 150 = 4. The answer is 4.
[Question]12 archeology students and 4 teachers went on a field trip to a dinosaur museum. Student tickets cost $1 each, and adult tickets cost $3 each. How much did the museum tickets cost in all?
[Answer]The cost of the 12 student tickets is 12 * $1 = $12. The cost of the 4 teacher tickets is 4 * $3 = $12. Adding the cost of the student and teacher tickets, the museum tickets cost $12 + $12 = $24 in total. The answer is 24.
[Question]Emir wants to buy a dictionary that costs $5, a dinosaur book that costs $11, and a children's cookbook that costs $5. He has saved $19 from his allowance. How much more money does Emir need to buy all three books?
[Answer]
The total cost of the dictionary, the dinosaur book, and the cookbook is $5 + $11 + $5 = $21. Emir needs $21 − $19 = $2. The answer is 2.