SOLUTION: Of the 31 vendors at a farmers' market, there are 10 that sell carrots and 11 that sell tomatoes. If 17 of the vendors sell neither carrots nor tomatoes, how many of them sell both

Question 1121831: Of the 31 vendors at a farmers' market, there are 10 that sell carrots and 11 that sell tomatoes. If 17 of the vendors sell neither carrots nor tomatoes, how many of them sell both carrots and tomatoes?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
14 vendors sell carrots, tomatoes, or both
11 sell tomatoes and 10 sell carrots. That is 21, so there is an extra 7 by double counting, which is both.
7 sell both carrots and tomatoes.
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