Q: 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?
A: 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: TreQuan is throwing rocks in the river and he notices that the bigger the rock, the wider the splash. Pebbles make a splash that is a 1/4 meter wide. Rocks make a splash that is 1/2 a meter wide, and boulders create a splash that is 2 meters wide. If he tosses 6 pebbles, 3 rocks, and 2 boulders, what is the total width of the splashes he makes?
Answer: The pebble's total splash width is 1.5 meters because 6 times 1 / 4 equals 1.5. The rock's total splash width is 1.5 meters because 3 times 1 / 2 equals 1.5. The boulder's total splash width is 4 because 2 times 2 equals four. The total splash width for all the rocks is 7 because 1.5 plus 1.5 plus 4 equals 7. The answer is 7.
[Question]Ms. Cole teaches math in three levels of classes in her school. There are four times as many students in Ms. Cole's fourth-level math class as in her sixth-level math class. The number of students in her seventh-level math class is twice that in the fourth-level math class. If Ms. Cole's sixth-level class has 40 students, how many math students does Ms. Cole teach?
[Answer]Since Ms. Cole's sixth - level math class has 40 students and four times as many students in her fourth - level class, there are 4 * 40 = 160 in her fourth - level math class. For the two levels, Ms. Cole teaches math to 160 + 40 = 200 students. If the number of students in her seventh - level math class is twice that in the fourth - level math class, then she teaches 2 * 160 = 320 students in the seventh - level math class. Ms. Cole teaches 320 + 200 = 520 math students in the school. The answer is 520.
Q: Billy has 8 hours of free time on each day of the weekend. He wants to spend 75% of his time playing video games and the rest of his time reading. He can read 60 pages an hour and his books all contain 80 pages. How many books does he read?
A: He has 16 hours because 2 x 8 = 16. He is going to spend 25% of his time reading because 100 - 75 = 25. He has 4 hours to read because 16 x .25 = 4. He will read 240 pages because 4 x 60 = 240. He will read 3 books because 240 / 80 = 3. The answer is 3.
Question: A town council began the decade by planting cherry trees around the neighborhood to make the neighborhood look more welcoming. By the end of the decade, they have planted twice as many cherry trees as they originally planned and have now realized that falling cherry blossom leaves are causing a problem. Each tree drops 100 leaves each during the fall. If the town council originally intended to plant 7 cherry trees, how many leaves now fall from the trees?
Answer: The council planted twice their goal so there is a total of 7 planned cherry trees * 2 = 14 cherry trees. So there must be 14 cherry trees * 100 leaves falling from each tree = 1400 leaves. The answer is 1400.
Q: Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. How much does he have leftover a week?
A:
After the raise he earns 40 * 1.05 = 42 dollars an hour. He works 8 hours per day so earns 42 * 8 = 336 per day. He works 5 days per week so he earns 336 * 5 = 1680 a week. His expenses after adding the personal trainer are 600 + 100 = 700 a week. So he has 1680 - 700 = 980 left over. The answer is 980.