[Question]James gets a cable program. The first 100 channels cost $100 and the next 100 channels cost half that much. He splits it evenly with his roommate. How much did he pay?
[Answer]The next 100 channels cost 100 / 2 = $50. So the total cost is 100 + 50 = $150. So he pays 150 / 2 = $75. The answer is 75.
Q: Chuck can ride the merry-go-round 5 times longer than Dave who can only ride it for 10 minutes before getting sick. Erica can stay on the merry-go-round 30% longer than Chuck before getting sick. How long can Erica stay on the merry-go-round?
A: Dave can ride the merry - go - round for 10 minutes and Chuck can ride 5 times longer than Dave so he can ride for 10 * 5 = 50 minutes. Erica can stay on 30% longer than Chuck who can ride for 50 minutes so that's an extra .30 * 50 = 15 minutes. Chuck can ride for 50 minutes and Erica can ride an extra 15 minutes for a total of 50 + 15 = 65 minutes. The answer is 65.
Question: Leila spent 3/4 of her savings on make-up and the rest on a sweater. If the sweater cost her $20, what were her original savings?
Answer: If Leila spent 3 / 4 of her savings on make - up, this means she spent 1 - 3 / 4 = 1 / 4 of her savings on a sweater. Let S be her original savings. If the sweater cost $20, this means 1 / 4 * S = $20. Thus S = $20 * 4 = $80. The answer is 80.
[Question]Jill runs a business breeding llamas. Nine of her llamas got pregnant with 1 calf, and 5 of them got pregnant with twins. After they give birth, Jill traded 8 of the calves for 2 new adult llamas. Then she sells 1/3 of her herd at the market. How many total llamas (calves and adults) does Jill have now?
[Answer]The number of calves that will be born as twins is 5 * 2 = 10 calves. The total number of adults and calves before the trade is 9 + 5 + 9 + 10 = 33. Jill had 33 - 8 = 25 left for trading 8 of the claves. But, she got 2 adult llamas in return, so she now has a total of 25 + 2 = 27 llamas. She then sold 27 / 3 = 9 llamas in the market. So, Jill has 27 - 9 = 18 llamas now. The answer is 18.
Q: Clive is buying olives for dinner. He has $10 to spend and needs 80 olives. A jar of 20 olives costs $1.50. How much change will Clive have when he buys what he needs?
A: He needs 4 jars of olives because 80 / 20 = 4. He will spend $6 because 4 x 1.5 = 6. He will have $4 in change because 10 - 6 = 4. The answer is 4.
Question: A special school for deaf and blind students has a deaf student population three times the size of blind student population. If the number of deaf students is 180, how many students are there altogether?
Answer:
Call the number of blind students b. There are 180 deaf students, which is three times the number of blind students, so 3b = 180. Multiplying both sides of the equation by 1 / 3 gives b = (1 / 3) * 180 = 60. The total number of students is 180 + 60 = 240. The answer is 240.