Question: Billy is breeding mice for an experiment. He starts with 8 mice, who each have 6 pups. When the pups grow up, all the mice have another 6 pups. Then each adult mouse eats 2 of their pups due to the stress of overcrowding. How many mice are left?
Answer: First find the number of pups in the first generation: 8 mice * 6 pups / mouse = 48 pups. Then add the number of adult mice to find the total number of mice: 48 pups + 8 mice = 56 mice. Then find the number of pups per mouse that survive from the second generation: 6 pups / mouse - 2 pups / mouse = 4 pups / mouse. Then multiply that number by the number of adult mice to find the number of pups in the second generation: 56 mice * 4 pups / mouse = 224 mice. Then add the number of adult mice to the number of second - generation pups to find the total number of mice: 224 mice + 56 mice = 280 mice. The answer is 280.
[Question]Tim's website got 100 visitors a day for the first 6 days and then on the last day of the week it got twice as many visitors as every other day combined. If he gets $.01 per visit how much did he make that week?
[Answer]In the first 6 days, he got 6 * 100 = 600 visits. So on the 7th day, he got 600 * 2 = 1200 visitors. So he got a total of 1200 + 600 = 1800 visitors. That means he made 1800 * .01 = $18. The answer is 18.
Q: Nigella is a realtor who earns a base salary of $3,000 a month plus a 2% commission on every house she sells. One month, Nigella sells 3 houses and earns $8,000 total. House B costs three times as much as House A. House C cost twice as much as House A minus $110,000. How much did House A cost?
A: First figure out how much money Nigella earned from commission by subtracting her base salary from her total earnings: $8,000 - $3,000 = $5,000. Next, figure out how much all three houses cost by dividing Nigella's commission money by her commission rate: $5,000 ÷ 0.02 = $250,000. Next, express each house's price in terms of A's price: B = 3A, and C = 2A - $110,000. Now we know that A + 3A + 2A - $110,000 = $250,000. We can combine like terms to find that 6A - $110,000 = $250,000. Now we add $110,000 to both sides of the equation and get 6A = $360,000. We can divide both sides by 6 to find A = $60,000. The answer is 60000.
Question: The library has 9,900 books. Over the summer, they sold some books. If only four sixths of the books are left, how many did they sell?
Answer: A sixth of the books is 9900 / 6 = 1650 books. Only 4 * 1650 = 6600 books are left. The library sold 9900 - 6600 = 3300 books over the summer. The answer is 3300.
[Question]Mona brought 20 cookies to share in class. Jasmine brought 5 fewer cookies than Mona. Rachel brought 10 more cookies than Jasmine. How many cookies altogether did Mona, Jasmine, and Rachel bring to share in class?
[Answer]Jasmine brought 20 - 5 = 15 cookies to class. Rachel brought 15 + 10 = 25 cookies to class. Mona, Jasmine, and Rachel brought 20 + 15 + 25 = 60 cookies. The answer is 60.
[Question]Six bottles of 2 liters of water cost $12. What is the price of 1 liter of water?
[Answer]
Each bottle of 2 liters of water costs $12 / 6 = $2. So the cost of 1 liter of water is $2 / 2 = $1. The answer is 1.