[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.
Q: Paul earns $12.50 for each hour that he works. He then has to pay 20% for taxes and fees. After working 40 hours, Paul receives his paycheck. If he spends 15% of his paycheck on gummy bears, how much, in dollars, does he have left?
A: His pay before taxes and fees is $12.50 x 40 hours = $500. He pays $500 * 0.20 = $100 for taxes and fees. Then he had $500 - $100 = $400 remaining money. He takes out $400 * 0.15 = $60 for his gummy bears. So he's left with $400 - $60 = $340. The answer is 340.
Question: Wilma has a garden with 3 types of flowers. The garden has 6 rows, with 13 flowers in each row. Wilma has 12 yellow flowers, two times more green flowers, and the rest consist of red flowers. How many red flowers does Wilma have?
Answer: The garden has space for 6 * 13 = 78 flowers in total. Wilma has two times more green flowers than yellow flowers, which means she has 2 * 12 = 24 green flowers. That leaves us with 78 - 24 - 12 = 42 red flowers in the garden. The answer is 42.
[Question]Brad’s zip code consists of five numbers that add up to 10. The first and second numbers are the same. The third number is zero. The fourth number is double the first number. The fourth and fifth numbers add up to 8. What is Brad’s zip code?
[Answer]The five numbers add up to 10, so the first three numbers add up to 10 - 8 = 2. The third number is 0, so the first two numbers add up to 2 - 0 = 2. The first and second numbers are equal, so they are both 2 / 2 = 1. The fourth number is double the first number, so it is 2 * 1 = 2. The fifth number is 8 - 2 = 6. Thus, Brad’s zip code is 11026. The answer is 11026.
Q: Rachel is 4 years older than Leah. If the sum of their ages is 34, how old is Rachel?
A: If Rachel and Leah have the same age, then the sum of their ages would be 34 - 4 = 30. So Leah would be 30 / 2 = 15 years old. Hence, Rachel is 15 + 4 = 19 years old. The answer is 19.
Question: Jake can wash his car with 1 bottle of car wash soap 4 times. If each bottle costs $4.00, and he washes his car once a week for 20 weeks, how much does he spend on car soap?
Answer:
1 bottle of soap will last for 4 washes and he needs enough bottles for 20 weeks so 20 / 4 = 5 bottles. Each bottle cost $4.00 and he needs 5 bottles so he will spend $4 * 5 = $20.00 on car soap. The answer is 20.