Question: There are several cookies in the jar. Taking 1 cookie away would leave half as many in the jar as if 5 were added. How many cookies are in the jar?
Answer: Step-by-step reasoning process: Let C be the number of cookies. There would be C - 1 cookies. There would be (C + 5) / 2 cookies. C - 1 = (C + 5) / 2. 2(C - 1) = C + 5. 2C - 2 = C + 5. C = 7.
So the answer is 7.

Question: Jenny is older than Charlie by five years, while Charlie is older than Bobby by three years. How old will Charlie be when Jenny becomes twice as old as Bobby?
Answer: Step-by-step reasoning process: Jenny is older than Charlie by 5 years who is older than Bobby by 3 years, so Jenny is older than Bobby by 5 + 3 = 8 years. Jenny will be twice as old as Bobby when he is 8 * 2 = 16 years old. Jenny is 5 years older than Charlie so when Jenny is 16, Charlie will be 16 - 5 = 11 years old.
So the answer is 11.

Question: Nancy's ex owes her child support. He's supposed to pay 30% of his income each year. For 3 years, he made $30,000/year, then he got a 20% raise for the next four years. If he's only ever paid $1,200, how much does he owe her?
Answer: Step-by-step reasoning process: First find how much money the ex made during the first 3 years by multiplying his annual earnings by the number of years: 3 years * $30,000 / year = $90,000 / . Then find how much his raise was by multiplying his salary by the percentage raise: $30,000 / year * 20% = $6,000 / year. Then add the raise to his original salary to find his new salary: $6,000 / year + $30,000 / year = $36,000 / year. Then find how much he made working at the new salary by multiplying it by the 4 years he worked: 4 years * $36,000 / year = $144,000. Add his earnings from the three years and the four years to find his total earnings: $144,000 + $90,000 = $234,000. Now multiply his total earnings by 30% to find how much he was supposed to pay: $234,000 * 30% = $70,200. Now subtract the amount he paid from this number to find how much he owes: $70,200 - $1,200 = $69,000.
So the answer is 69000.

Question: Jill and her brother Jack are going apple picking. Jill's basket can hold twice as much as Jack's basket when both are full. Jack's basket is full when it has 12 apples, but currently space for 4 more. How many times could Jack's current number of apples fit into Jill's basket?
Answer:
Step-by-step reasoning process: Since Jill's basket can hold twice as much as Jack's, and Jack's is capable of holding 12 apples in total, this means Jill's basket can hold 12 * 2 = 24 apples in total. Since Jack has 4 less than the maximum amount of apples he can fit in his basket, this means Jack has 12 - 4 = 8 apples in his basket. Therefore, Jill's basket can hold 24 / 8 = 3 times the amount of apples Jack is currently carrying.
So the answer is 3.