Section: Math Section 1

16) At a bedding convention, 400 dealers sold either blankets or sheets or both. If 163 dealers sold both blankets and sheets, and 117 dealers sold only blankets, how many dealers sold only sheets?

1. 86
2. 97
3. 104
4. 120
5. 145

There are 3 types of dealers at this convention—dealers who sell only blankets, dealers who sell only sheets, and dealers who sell both blankets and sheets. The total number of dealers is 400. You’re given the number of 2 out of the 3 types of dealers—there are 163 that sell both blankets and sheets, and 117 that sell only blankets. Since there are only 3 types of dealers, 163 + 117 + the number of dealers who sell only coins = 400, and so the number of dealers who sell only coins is 400 - 163 - 117 = 120.