[Question]24 gallons per second of water flows down a waterfall. If you have an empty basin that can hold 260 gallons of water. The basin leaks water at 4 gallons per second. how long would it take to fill the basin with water from the waterfall in seconds?
[Answer]24 gallons in minus 4 gallons out is 24 - 4 = 20 gallons per second. 260 gallons divided by 20 gallons per second 260 / 20 = 13 seconds. The answer is 13.
Q: Isabelle gets a job so she can save enough money to go to a concert with her two brothers. Her ticket costs $20. Her brothers both get the children’s discount, and each of their tickets cost $10. Her brothers have saved $5 between the two of them and Isabelle has saved $5. If her job pays $3 per week, how many weeks must she work to afford the tickets?
A: The tickets for both of her brothers will cost her $10 * 2 = $20. To buy tickets for all of them, it will cost Isabelle $20 + $20 = $40. Between all of them, they have saved a total of $5 + $5 = $10. Since they have already saved $10, she needs to earn an additional $40 - $10 = $30 to afford the tickets. Since she makes $3 per week, it will take her $30 / ($3 / week) = 10 weeks to save enough money for all of the tickets. The answer is 10.
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.
[Question]In Alaska the commercial Cod fishing season runs from January 1 - August 1 lasting exactly 7 months, or 213 days on a non-leap year. Two fishermen are competing against each other to see who can earn more profit. The first fisherman plans to catch fish at a steady rate of 3 per day for the entire season. The second fisherman is a novice who will need to start more slowly. He plans to catch only 1 fish per day during the first 30 days, 2 fish per day during the next 60 days, and then 4 fish per day during the remainder of the season. At the end of the season, how many more fish will be caught by the fisherman who catches the higher number of fish?
[Answer]The first fisherman will catch 3 * 213 = 639 fish during the season. The second fisherman catch 1 * 30 + 2 * 60 = 150 fish during the first 90 days of the season. Then, during the remaining 213 - 90 = 123 days of the season, the second fisherman will can an additional 4 * 123 = 492 fish. Thus, the second fisherman will catch a total of 150 + 492 = 642 fish. Therefore, the second fisherman will catch 642 - 639 = 3 more fish than the first fisherman at the end of the season. The answer is 3.
Q: Kameron has 100 kangaroos on his large farm; Bert has 20 kangaroos on his farm. In how many more days will Bert have the same number of kangaroos as Kameron does now if he buys kangaroos at the same rate of 2 new kangaroos per day?
A: If Kameron has 100 kangaroos, he has 100 - 20 = 80 more kangaroos than Bert. Buying 2 kangaroos every day, it will take Bert 80 / 2 = 40 days to have the same number of kangaroos as Kameron has now. The answer is 40.
Question: A store sold a certain brand of jeans for $40. They only have few pairs of jeans left so they decided to give 10% discount on every two pairs of jeans bought by a customer at any one time. How much will a customer pay for 3 pairs of jeans?
Answer:
Two pairs of jeans cost $40 x 2 = $80. A discount of $80 x 10 / 100 = $8 will be given for this. Hence, the cost of two pairs of jeans will now be $80 - $8 = $72. Therefore, the customer will pay $72 + $40 = $112 for the three pairs of jeans. The answer is 112.