[Question]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?
[Answer]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.
Q: A school cafeteria uses ground mince to cook lasagnas and cottage pies. They make 100 lasagnas, which use 2 pounds of ground mince each, and cottage pies, which use 3 pounds of ground mince each. If the cafeteria has used 500 pounds of ground mince in total, how many cottage pies did they make?
A: The cafeteria used 100 lasagnas * 2 pounds of ground mince = 200 pounds of ground mince for the lasagnas. This means they used 500 pounds of ground mince in total – 200 pounds of ground mince for the lasagnas = 300 pounds of ground mince for the cottage pies. So they must have made 300 pounds of ground mince for the cottage pies / 3 pounds of ground mince per cottage pie = 100 cottage pies. The answer is 100.
Question: The square footage of the two bedrooms in the apartment that Jenny and Martha share totals 300 square feet. If Jenny's bedroom is 60 square feet larger than Martha's, how large, in square feet, is Martha's bedroom?
Answer: Let M be the number of square feet in Matha's bedroom. Jenny's bedroom is M + 60 square feet. M + M + 60 = 300. 2M + 60 = 300. 2M = 240. M = 120. Martha's bedroom is 120 square feet. The answer is 120.
[Question]Gigi is baking cookies. The recipe for 1 batch of cookies calls for 2 cups of flour. She bakes 3 batches of cookies. If her bag of flour contains 20 cups of flour, how many more batches of cookies could Gigi make in the future with the remaining amount of flour?
[Answer]For 3 batches of cookies, Gigi uses 3 * 2 = 6 cups of flour. The amount of flour remaining in the bag is 20 - 6 = 14 cups of flour. Since 1 batch uses 2 cups of flour, Gigi can make 14 / 2 = 7 more batches of cookies. The answer is 7.
Q: The total for the sum and product of Elvie's age and Arielle's age are 131. If Elvie's age is 10, how old is Arielle?
A: Let's say Arielle's age is x. The sum of Elvie's age and Arielle's age is 10 + x. The product of their ages is 10 * x. The total for the sum and product of their ages is 10 + x + 10 * x = 131. To find Ariel's age, we evaluate x, which is 10 + 11x = 131. This gives us a total of 11x = 121. Arielle's age is x = 121 / 11. The value of x, which is Arielles's age, is 11. The answer is 11.
Question: Lyssa and Precious took an English proficiency exam. Lyssa answered 20% of the items incorrectly. Precious got 12 mistakes. How many more correct answers did Lyssa get than precious if there were 75 items in the exam?
Answer:
Lyssa got 75 x 20 / 100 = 15 mistakes. Lyssa's score is 75 - 15 = 60. The score of Precious is 75 - 12 = 63. Thus, Lyssa got 63 - 60 = 3 more correct answers than Precious. The answer is 3.