[Question]On Tuesday last week, Leo dropped off 10 pairs of trousers and some shirts at Sudsy Laundry. He was given a bill of $140, charged at $5 per shirt and $9 for each pair of trousers. When he went to pick up his clothes yesterday, the attendant insisted that he had only dropped off 2 shirts. Leo reported the matter to the manager, who ordered the attendant to search for the rest of Leo’s shirts. How many shirts were missing?
[Answer]The cost of laundering all of Leo’s trousers is 10 * 9 = 90 dollars. Since the total bill was 140 dollars, this means that all the shirts were cleaned for 140 - 90 = 50 dollars. As each shirt is cleaned at 5 dollars, Sudsy Laundry therefore laundered a total of 50 / 5 = 10 shirts. The missing shirts are therefore 10 - 2 = 8 shirts. The answer is 8.
Q: James can do a farmer's walk with 300 pounds per hand for 20 meters. He can lift 30% more if he only goes 10 meters. In addition, lifting straps give him another 20%. How much can he move with lifting straps for 10 meters if he increases his 20-meter distance without straps by 50 pounds and everything else increases in proportion?
A: After the increase, he can lift 300 + 50 = 350 pounds. Decreasing the distance increase the amount he can lift by 350 * .3 = 105 pounds. So he can lift 350 + 105 = 455 for 10 feet. The straps add another 455 * .2 = 91 pounds. So his total weight is 455 + 91 = 546 pounds per hand. The answer is 546.
Question: Youngsville had a population of 684 people. The town had a growth spurt and the population increased by 25% then they witnessed that 40% of the population moved away. What is the current population?
Answer: The town had 684 people then had a 25% growth spurt increasing the population by 684 * .25 = 171 people. The town had 684 people then they added 171 people bringing the population to 684 + 171 = 855 people. There were 855 people and 40% moved away so it decreased by 855 * .40 = 342. The population was 855 and 342 people moved away making the new population 855 - 342 = 513 people. The answer is 513.
[Question]400 adults and 200 children go to a Broadway show. The price of an adult ticket is twice that of a child's ticket. What is the price of an adult ticket if the total amount collected is $16,000?
[Answer]Let X be the price of a child ticket. So the price of an adult ticket is X * 2. We know from the problem that 400 * X * 2 + 200 * X = 16,000. After multiplying, we have 800 * X + 200 * X = 16,000. Combining like terms, we have 1000 * X = 16,000. Dividing both sides by 1000, we have X = $16. The price of an adult ticket is $16 * 2 = $32. The answer is 32.
Q: Mr. Dubois buys a new car for $13,380. He pays $5,400 and pays the rest by giving $420 a month. In how many months will the car be fully paid for?
A: Dubois has to pay $13,380 – $5,400 = $7,980 more. He will pay that in $7,980 : $420 = 19 months. The answer is 19.
Question: Devin teaches one math course per year. He taught Calculus for 4 years, Algebra for twice as many years, and Statistics for 5 times as long as he taught Algebra. How many years has Devin taught?
Answer:
Calculus: 4 years. Algebra: 4(2) = 8 years. Statistics: 8(5) = 40 years. Total number of years taught: 4 + 8 + 40 = 52 years. The answer is 52.