SOLUTION: In a class of 38 students, 32 are wearing jeans, 21 are wearing T-shirts, and 15 are wearing both. How many students are wearing jeans but NOT a T-shirt?

Algebra ->  Equations -> SOLUTION: In a class of 38 students, 32 are wearing jeans, 21 are wearing T-shirts, and 15 are wearing both. How many students are wearing jeans but NOT a T-shirt?      Log On


   



Question 780916: In a class of 38 students, 32 are wearing jeans, 21 are wearing T-shirts, and 15 are wearing both. How many students are wearing jeans but NOT a T-shirt?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Draw 2 circles that intersect.
One circle has 21 in it that wear t-shirts
The other circle has 32 in it that wear jeans
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The intersection has 15 in it that wear both
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+21+-+15+=+6+ is the number that wear
t-shirts but not jeans
+32+-+15+=+17+ is the number that wear
jeans but not t-shirts
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Notice that +17+%2B+15+%2B+6+=+38+ which is all the students