Word Problems

1. A woman makes 17.5% less than a man, but she can also get into a club free on certain nights. The entrance fee is $15. How many times does the woman have to go to that club on those nights in order for her to break even?
2. In the context of the graph provided on page 3, what is the average utility of free entrance to a club assuming one breaks even with regard to dollars lost and saved? Give multiple answers and/or a formula accounting for race, sexual orientation, status as trans or cis, and all other relevant points which may increase her chances for being raped, mugged, killed or otherwise attacked.
3. Express as a ratio the money spent white scholarships (incl. scholarships for Germans, Italians, etc.) compared to scholarships of persons of color. Extra credit: Include a second ratio for the total amount of money per white student versus student of color given in the form of scholarships without racial requirements.