NOTE: The ages in the following word problems are not constant from one question to the next. Mary's age from problem #1, for example, cannot be used to solve for Steve's age in #2.
1) Mary is dating a man, John, who is one and one-half times her age. In John and Mary's jurisdiction, John can be imprisoned for statutory rape if Mary is under the age of 18. If the sum of John and Mary's ages is 50, is John in danger of going to prison if found out?
2) Mary is seeing two men simultaneously, John and Steve. John is one and one-half times Mary's age, and Steve is seven years younger than John. What is the smallest possible value for the sum of their ages if all three are at least eighteen years old?
3) Mary has decided to become a prostitute. Her pimp, Tony Vinylman, requires her to pay him 75 percent of all earnings from her tricks, and she has living expenses of $300 per week. She can perform oral sex twenty-four times per day. How much does she need to charge for oral sex in order to pay her bills, assuming a five-day workweek? How much should she charge if she works every day?
Answers are in comments.