Q: Erin is sorting through the library books to decide which ones to replace. She finds 8 less than 6 times as many obsolete books as damaged books. If she removes 69 books total, how many books were damaged?
A: Let o be the number of obsolete books and d be the number of damaged books. We know that o + d = 69 and o = 6d - 8. Substituting the first equation into the second equation, we get 6d - 8 + d = 69. Combining like terms, we get 7d - 8 = 69. Adding 8 to both sides, we get 7d = 77. Dividing both sides by 7, we get d = 11. The answer is 11.

Q: Matt can make a batch of a dozen cookies using 2 pounds of flour. He uses 4 bags of flour each weighing 5 pounds. If Jim eats 15 cookies how many cookies are left?
A: Matt used 4 * 5 = 20 pounds of flour. That means he made 20 / 2 = 10 batches. So he cooked 10 * 12 = 120 cookies. After Jim eats 15 there are 120 - 15 = 105 cookies left. The answer is 105.

Q: Cynthia has four times as many water balloons as her husband, Randy. Randy has only half as many water balloons as his daughter, Janice. If Janice throws all 6 of her water balloons at her father, how many water balloons does Cynthia have, which she could also choose to throw at Randy?
A:
Randy has only half as many water balloons as Janice's 6, for a total of () * 6 = 3 water balloons. Cynthia has 4 times as many water balloons as Randy, for a total of 4 * 3 = 12 water balloons. The answer is 12.