Question: Lucy lost one-third of her money. She then spent one-fourth of the remainder, and only left with $15. How much money did Lucy have at the beginning?
Answer: The $15 is 1 - 1 / 4 = 3 / 4 of the money left. Since 3 / 4 is equal to $15, then 1 / 4 is equal to $15 / 3 = $5. So Lucy had $5 x 4 = $20 left after losing 1 / 3 of her money. Hence, $20 is 1 - 1 / 3 = 2 / 3 of the money that Lucy had at the beginning. Since 2 / 3 is equal to $20, then 1 / 3 is equal to $20 / 2 = $10. Therefore, Lucy had $10 x 3 = $30 at the beginning. The answer is 30.
[Question]A store owner buys clothes wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price?
[Answer]Let X be the wholesale price. The retail price of a pair of pants is X + X * 80% = $36. Thus 1.8 * X = $36. Thus X = $36 / 1.8 = $20. The answer is 20.
Q: Five friends eat at a fast-food chain and order the following: 5 pieces of hamburger that cost $3 each; 4 sets of French fries that cost $1.20; 5 cups of soda that cost $0.5 each; and 1 platter of spaghetti that cost $2.7. How much will each of them pay if they will split the bill equally?
A: The cost of 5 pieces of hamburger is $3 x 5 = $15. The cost of 4 sets of French fries is $1.20 x 4 = $4.80. The cost of 5 cups of soda is $0.5 x 5 = $2.50. So their total bill is $15 + $4.80 + $2.50 + $2.7 = $25. Hence, each of the five friends will contribute $25 / 5 = $5. The answer is 5.
Question: Henry wants to buy a t-shirt, a pair of jeans and a pair of socks. The jeans are twice the price of the t-shirt, and the t-shirt is $10 more expensive than the socks. The socks cost $5. How much does Henry need to pay for the pair of jeans?
Answer: The t - shirt costs $10 more than the socks, so it costs $5 + $10 = $15. The jeans are twice the price of the shirt, so they cost 2 * $15 = $30. The answer is 30.
[Question]Rick has 130 cards. He decided to only keep 15 cards and so he gave Miguel some of the cards. Then, he saw 8 friends and decided to give them 12 cards each, and the remaining cards were given equally to his 2 sisters. If each of Rick's sisters got 3 cards, how many cards did Rick give to Miguel?
[Answer]After keeping 15 cards, Rick had 130 cards - 15 cards = 115 cards left. The total number of cards given by Rick to his 8 friends was 8 friends x 12 cards / friend = 96 cards. There were 2 sisters x 3 cards / sister = 6 cards given to Rick's sisters. So, there were 96 cards + 6 cards = 102 cards left after Rick gave Miguel some cards. Therefore, 115 cards - 102 cards = 13 cards were given to Miguel. The answer is 13.
[Question]In a Zoo, there are different animals. There are 5 giraffes and twice as many penguins. Penguins make up 20% of all the animals in the Zoo. How many elephants are there in the Zoo if they make up 4% of all the animals?
[Answer]
There are twice as many penguins as giraffes, so there are 5 * 2 = 10 penguins. The penguins make up 20% of all animals, so there are 100 / 20 * 10 = 50 animals in the whole Zoo. 4% of animals are elephants, so there are 4 / 100 * 50 = 2 elephants at the Zoo. The answer is 2.