[Question]Chloe and Max played Mario Kart together. The ratio of Chloe’s wins to Max’s wins is 8:3. Chloe won 24 times. How many times did Max win?
[Answer]We are trying to figure out how many times Max won at Mario Kart, so we'll call that number Y. We know the ratio of Chloe’s wins to Max’s wins is 8 / 3, so 8 / 3 = 24 / Y. Next, we will multiply to find the cross - products. 8 x Y = 3 x 24 or 8Y = 72. We want to get figure out Y, so we need to get it by itself by dividing by 8, like this: 8Y / 8 = 72 / 8. Y = 9, so Max won 9 times. The answer is 9.
Q: Chang's Garden has two kinds of apples. Sweet ones and sour ones. He can sell the sweet ones for $.5 an apple. The sour ones sell for $.1 an apple. 75% of the apples he gets are sweet and the rest are sour. If he earns $40, how many apples did his trees give him?
A: 25% of the apples are sour because 100 - 75 = 25. The average price of an apple sold is $.4 because .75(.5) + .25(.1) = .4. He got 100 apples because 40 / .4 = 100. The answer is 100.
Question: Chris wanted to buy a new video game that costs $60 as well as an assortment of candy that costs $5. To earn the money, he agreed to babysit his little sister for $8 per hour. If he works 9 hours, how much money will be left over after he makes his purchases?
Answer: He wants to buy a $60 game and $5 of candy so 60 + 5 = $65. He will make $8 per hour of babysitting and will work 9 hours so 8 * 9 = $72. He made $72 and spent $65 so 72 - 65 = $7 left over. The answer is 7.
[Question]Sarah wants to start a cupcake business and was approved for a business loan. The loan has 0% interest if she pays the entire amount back in 5 years, which she decides to do. If she put $10,000 down as a down payment and her monthly payments are $600.00, how much was her loan for (including the down payment)?
[Answer]To avoid interest she'll make payments for 5 years. There are 12 months in 1 year so that's 5 * 12 = 60 months. Each monthly payment is $600.00 and she'll pay that for 60 months for a total of 600 * 60 = $36,000. She also put $10,000 down as a down payment and her monthly payments came out to $36,000 so her loan was for 10000 + 36000 = $46,000. The answer is 46000.
Q: Mary and Jimmy start running from the same spot, but in opposite directions. Mary runs at 5 miles per hour and Jimmy runs at 4 miles per hour. What is the distance between them after 1 hour?
A: In 1 hour, Mary will have traveled 5 miles / hour * 1 hour = 5 miles. In 1 hour, Jimmy will have traveled 4 miles / hour * 1 hour = 4 miles. Since they are running in opposite directions, the distance between them will be 5 miles + 4 miles = 9 miles. The answer is 9.
Question: Agnes is 25 years old and her daughter, Jane is 6 years old. In how many years will Agnes be twice as old as Jane?
Answer:
Let the number of years after which Agnes will be twice as old as Jane be x. After x years, 25 + x = 2(6 + x). Solving the equation by expanding and collecting like terms gives: x - 2x = 12 - 25. Further solving gives: - x =  - 13. Multiplying both sides by - 1 gives x = 13. The answer is 13.