[Question]Mike bought a DVD of his favorite movie. He paid $5 for it at the store. A friend of Mike's, Steve, saw this and also decided to buy a DVD of the movie, but it was already sold out. He needed to order it online, which cost him twice as much. And in addition, he needed to pay the shipping costs which were 80% of the price of the film he ordered. How much did Steve pay to get the DVD in total?
[Answer]The cost of the movie online was twice what Mike paid, so 2 * 5 = $10. The shopping costs were standing at 80 / 100 * 10 = $8. So in total Steve paid 10 + 8 = $18. The answer is 18.
Q: On Monday Buddy has 30 baseball cards. On Tuesday Buddy loses half of them. On Wednesday Buddy buys 12 baseball cards. On Thursday he buys a third of what he had on Tuesday. How many baseball cards does he have on Thursday?
A: On Tuesday Buddy has 30 / 2 = 15 baseball cards. On Wednesday Buddy has 15 + 12 = 27 baseball cards. On Thursday Buddy buys 15 / 3 = 5 baseball cards. On Thursday Buddy has a total of 27 + 5 = 32 baseball cards. The answer is 32.
Question: On a road map, 1/4 inch represents 8 miles of actual road distance. The towns of Pence and Hillcrest are represented by points 3 3/8 inches apart on the map. What is the actual distance, in miles, between the towns?
Answer: If 1 / 4 inch on the map represents 8 miles on real land, 1 inch represents 4 * 8 = 32 miles. Since 1 inch represents 32 miles, 3 inches represent 3 * 32 = 96 miles. 1 / 4 inch represents 8 miles, 1 / 8 inch represents 8 / 2 = 4 miles because 1 / 8 is half of 1 / 4. If 1 / 8 inch represents 4 miles, 3 / 8 of an inch represents 3 * 4 = 12 miles. This means 3 3 / 8 inches on the map translate to 96 + 12 = 108 miles. The answer is 108.
[Question]John builds a model rocket that can travel 500 ft in the air. He builds a second rocket that can travel twice as high. What is the combined height of the two rockets?
[Answer]The second rocket goes 500 * 2 = 1000 feet. So the total height is 500 + 1000 = 1500 feet. The answer is 1500.
Q: Danielle bought a new house for $280k. She paid a $40k deposit on the house, and pays the rest using a mortgage that is spread out over 10 years. Danielle makes equal payments every month and at the end of the 10 years, the entire balance will be paid off. How much, in thousands of dollars, does Danielle pay each month?
A: After paying the deposit, Danielle still has to pay a total of $280k purchase price - $40k deposit = $240k via her mortgage. As the mortgage is over 10 years, Danielle's payments need to total $240k mortgage balance / 10 years = $24k per year. So each month, Danielle has to pay $24k per year / 12 months in a year = $2k per month. The answer is 2.
Question: To keep himself busy in class, Michael makes rubber-band balls. He makes two sizes, large and small. A small ball uses 50 rubber bands. A large ball requires 300 rubber bands. Michael brought a 5,000 pack to class and already made 22 small balls. How many large balls can he make with the remaining rubber bands?
Answer:
Michael has used 1,100 rubber bands because 22 x 50 = 1,100. Michael has 3,900 rubber bands remaining because 5,000 - 1,100 = 3,900. Michael can make 13 large balls because 3,900 / 300 = 13. The answer is 13.