Question: Jeanette is practicing her juggling. Each week she can juggle 2 more objects than the week before. If she starts out juggling 3 objects and practices for 5 weeks, how many objects can she juggle?
Answer: First find the total number of additional objects she learns to juggle: 2 objects / week * 5 weeks = 10 objects. Then add the initial number of objects she could juggle to find the total: 10 objects + 3 objects = 13 objects. The answer is 13.
[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: Nico borrows 3 books from the library on Monday. On Monday, he reads the first book with a total of 20 pages. On Tuesday, he reads the second book with a total of 12 pages. On Wednesday, he reads the third book. If he has read a total of 51 pages from Monday to Wednesday, how many pages did he read on Wednesday?
A: From Monday to Tuesday, Nico reads a total of 20 + 12 = 32 pages. On Wednesday, he read a total of 51 - 32 = 19 pages. The answer is 19.
Question: Valerie needs to put stamps on the envelopes she is about to mail. She has thank you cards for each of her grandmother, uncle and aunt for the birthday presents they sent. She also has to pay the water bill and the electric bill separately. She wants to send three more mail-in rebates than she does bills and she has twice as many job applications as rebates to mail. How many stamps does she need if everything needs 1 stamp except the electric bill, which needs 2?
Answer: Valerie has to send a thank you card to each of 3 people, so she has 3 * 1 = 3 thank you cards to mail. She has 2 bills to mail. She has 3 more rebates than bills, so 3 + 2 = 5 mail - in rebates to mail. She has twice as many job applications as rebates, so she has 2 * 5 = 10 applications to mail. She has 3 + 2 + 5 + 10 = 20 pieces of mail to send. The electric bill needs an extra stamp, so she needs 20 + 1 = 21 stamps. The answer is 21.
[Question]Brandon has a collection of 20 baseball cards. Malcom has 8 more cards than Brandon. However, then Malcom gives half of his cards to his friend Mark. How many cards does Malcom have left?
[Answer]Malcom has 20 cards + 8 cards = 28 cards. Malcom gives away 1 / 2 * 28 cards = 14 cards to Mark. Malcom has 28 - 14 cards = 14 cards remaining. The answer is 14.
[Question]Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
[Answer]
Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x. Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x. We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x. Then we can subtract 20x from each side to get 300 = 20x. Finally, we divide both sides by 20 to find that x = 15. The answer is 15.