A group of people was surveyed to determine what newspaper they read. 80% of those interviewed read

A group of people was surveyed to determine what newspaper they read. 80% of those interviewed read the New York Times, while 50% read U.S.A. Today. If 35% read both papers, what percent read neither paper?

New York Times:
80% - 35% for both = 45%

USA Today:
50% - 35% for both = 15%

45% + 15% + 35% = 95%

Which means 100% - 95% = 5% read neither