[Question]Missy had a giant piggy bank in her bedroom. Every day she would search the house for change to put in her bank. After 4 years, the bank was opened and it contained $450 in change. If the second, third, and fourth-year she doubled the amount of money she put in the bank from the amount she had put in the previous year, how much money, in dollars, did she put in the bank the first year?
[Answer]We let x be the amount of money she put in the bank the first year,. Then the second year was 2 * x,. and the third year was 2 * 2 * x = 4 * x,. and the fourth year was 2 * 2 * 2 * x = 8 * x. And the total amount she put in the bank, $450, is the sum of all four years, or $450 = x + (2 * x) + (4 * x) + (8 * x). This simplifies to $450 = 15 * x. And therefore, the amount of money she put in the bank the first year was x = $30. The answer is 30.
Q: Bekah had to read 408 pages for history class. She read 113 pages over the weekend and has 5 days left to finish her reading. How many pages will she need to read each day for 5 days to complete her assignment?
A: Pages left to read: 408 - 113 = 295 pages. 295 / 5 = 59 pages. Bekah needs to read 59 pages each day. The answer is 59.
Question: Roberto and Valerie are jumping rope at recess. Roberto can skip 4,200 times an hour. Valerie can skip 80 times a minute. If they jump rope for fifteen minutes straight, how many skips will they total?
Answer: Roberto skips 70 times per minute because 4,200 / 60 = 70. Together they skip 150 times a minute. They will skip 2,250 times because 150 x 15 = 2,250. The answer is 2250.
[Question]Anna baked 60 cupcakes. She gives away 4/5 of the cupcakes to her classmates. Of the remaining 1/5 of cupcakes, she eats 3 cupcakes. How many cupcakes does she have left?
[Answer]After giving away 4 / 5 of the cupcakes, Anna has 60 / 5 = 12 cupcakes. After eating 3 cupcakes, Anna has 12 - 3 = 9 cupcakes. The answer is 9.
Q: It takes Roque two hours to walk to work and one hour to ride his bike to work. Roque walks to and from work three times a week and rides his bike to and from work twice a week. How many hours in total does he take to get to and from work a week with walking and biking?
A: Roque takes 2 * 3 = 6 hours a week to walk to work. Roque takes 6 * 2 = 12 hours a week to walk to and from work. Roque takes 1 * 2 = 2 hours a week to bike to work. Roque takes 2 * 2 = 4 hours a week to bike to and from work. In total, Roque takes 12 + 4 = 16 hour a week to go to and from work. The answer is 16.
Question: Jim buys a wedding ring for $10,000. He gets his wife a ring that is twice that much and sells the first one for half its value. How much is he out of pocket?
Answer:
The second ring cost 2 * 10000 = $20,000. He sells the first ring for 10,000 / 2 = $5000. So he is out of pocket 10000 - 5000 = $5000. So that means he is out of pocket 20,000 + 5000 = $25,000. The answer is 25000.