Question: To make a lasagna Martha needs 1.5kg of cheese and 500 grams of meat. The cheese costs $6 per kilogram, and the meat $8 per kilogram. How much does Martha need to pay for the ingredients?
Answer: 500 grams is 0.5 kilogram, so for the meat, Martha needs to pay 0.5 * 8 = $4. For the cheese, Martha needs to pay 1.5 * 6 = $9. So in total for the ingredients, Martha needs to pay 4 + 9 = $13. The answer is 13.
[Question]For the family reunion, Peter is buying 16 pounds of bone-in chicken and half that amount in hamburgers. He's going to buy 2 more pounds of hot dogs than hamburgers. He's also going to buy several sides that will weigh half the amount of hot dogs. How many pounds of food will he buy?
[Answer]He is buying 16 pounds of chicken and half that amount in hamburgers so he's buying 16 / 2 = 8 pounds of hamburgers. He's going to buy 2 more pounds of hotdogs than hamburgers, which are 8 pounds so he'll have 2 + 8 = 10 pounds of hot dogs. He's going to buy sides that weigh half the amount of the hot dogs so that's 10 / 2 = 5 pounds of sides. He's buying 16 pounds of chicken, 8 pounds of hamburgers, 10 pounds of hot dogs and 5 pounds of sides for a total of 16 + 8 + 10 + 5 = 39 pounds of food. The answer is 39.
Q: Jerry owes a loan shark $200. The loan shark charges Jerry 10% interest compounded monthly. (This means that every month the loan shark adds Jerry's interest amount to his loan, and the next month Jerry has to pay 10% on the new total). If Jerry doesn't make any payments, how much (in dollars) does the loan shark charge in interest the second month?
A: First calculate how much the loan shark charges in interest the first month by multiplying the loan amount by the interest rate: $200 * 10% = $20. Now add the interest amount to the original amount of the loan to find Jerry's new total: $200 + $20 = $220. Now multiply the new total by 10% to find out how much Jerry owes the loan shark in interest the second month: $220 * 10% = $22. The answer is 22.
Question: Zayne sells bracelets for $5 each and two for $8. If he started with 30 bracelets and made $60 from selling bracelets for $5 each, how much in total did he make from selling his bracelets?
Answer: If the bracelets he sold at $5 made $60, he sold $60 / $5 = 12 bracelets. If the total number of $5 bracelets was 12, then the total number of bracelets he sold was 30 - 12 = 18. If he was selling a pair of bracelets at $8, he sold 18 / 2 = 9 pairs. The total amount of money he made from selling the nine pairs is $8 * 9 = $72. His total earnings from selling all of his bracelets are $72 + $60 = $132. The answer is 132.
[Question]A farmer has 52 cows. Each cow gives 5 liters of milk a day. How many liters of milk does the farmer get in a week?
[Answer]The amount of milk one cow gives in a week: 5 liters / day * 7 days / week = 35 liters / week. The amount of milk 52 cows give in a week: 52 cows * 35 liters / week / cow = 1820 liters / week. The answer is 1820.
[Question]The length of a rectangle is four times its width. If the area is 100 m2. what is the length of the rectangle?
[Answer]
Let L be the length and W be the width of the rectangle. Hence L = 4 * W. We now use the area to write 80 = L * W. Substitute L by 4 W in the equation above 80 = 4 * W W = 4 W^2. Solve for W and find L. 4 W^2 = 100. W^2 = 25, W = 5 and. L = 4 * 5 = 20 m. The answer is 20.