Q: Jude is trading his bottle cap collection to Arthur for some of Arthur's matchbox vehicles. Arthur charges Jude 5 bottle caps for a car and 6 bottle caps for a truck. Jude has 100 bottle caps. If he buys 10 trucks and spends 75% of his remaining bottle caps on cars, how many total matchbox vehicles does he buy?
A: The trucks cost 60 bottle caps because 10 x 6 = 60. He has 40 bottle caps left because 100 - 60 = 40. He spends 30 bottle caps on cars because 40 x .75 = 30. He gets 6 cars with this because 30 / 5 = 6. He gets 16 vehicles in total because 10 + 6 = 16. The answer is 16.
Question: Jack has four plates with a flower pattern and 8 plates with a checked pattern. He buys new twice as many polka dotted plates as the number of checked plates he currently has, then smashes one of the flowered plates. How many plates does he have left?
Answer: Jack buys 2 * 8 = 16 polka dotted plates. After smashing one, he has 4 - 1 = 3 flower plates left. In total, he has 3 flower plates + 16 polka dotted plates + 8 checked plates = 27 plates. The answer is 27.
[Question]Alvin owns coconut trees that yield 5 coconuts each. If a coconut can be sold for $3 and Alvin needs $90, how many coconut trees does he have to harvest?
[Answer]Alvin needs to harvest 90 / 3 = 30 coconuts to earn $90. Therefore, the total number of trees that he has to harvest is 30 / 5 = 6. The answer is 6.
Q: Before James starts the strength phase training of his cycle he has a powerlifting total of 2200 pounds at a bodyweight of 245 pounds. He manages to gain 15% on his total and 8 pounds of body weight. What is the ratio of his lifting total to bodyweight?
A: He added 2200 * .15 = 330 pounds to his total. That means his new title is 2200 + 330 = 2530 pound total. His new body weight is 245 + 8 = 253 pounds. So he has 2530 / 253 = 10 for his ratio. The answer is 10.
Question: A cargo ship moving from Shanghai to Vancouver navigates for 21 days before reaching port. Customs and regulatory processes in Vancouver last 4 days. Finally, moving the cargo from the port to your rural warehouse takes some time and it always arrives on the seventh day. How many days ago should the ship have departed if your warehouse is expecting the shipment 2 days from today?
Answer: The total lead time for the cargo is 21 days on water + 4 in customs + 7 to the warehouse or 21 + 4 + 7 = 32 days. If the warehouse is expecting the cargo in 2 days from today then the cargo should have already completed 32 - 2 = 30 days of lead time. The answer is 30.
Q: Class A is twice as big as Class B. Class A is also a third the size of Class C. If Class B has 20 people in it, how many people are in Class C?
A:
Class A is twice the size of Class B, so Class A = 2 * size of Class B. If Class B has 20 people Class A has 20 * 2 = 40 people. Since Class A is also 1 / 3 the size of Class C then Class A = 1 / 3 * Class C. This means 40 = 1 / 3 * Class C. Thus the size of Class C is 3 * 40 = 120 people. The answer is 120.