SOLUTION: A group of 100 people touring Europe includes 34 people who speak French, 68 who speak Spanish, and 14 who speak neither language. How many people in the group speak both French an

Question 1097239: A group of 100 people touring Europe includes 34 people who speak French, 68 who speak Spanish, and 14 who speak neither language. How many people in the group speak both French and Spanish ?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
14 don't speak either.
86 speak one or the other.
That would be 34 F+ 68 S-the ones who speak both, because they are double counted.
86=34+68- double counting (both languages)
-16=- double counting
Speak both: 16.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Also see the lesson
    - Counting elements in sub-sets of a given finite set
in this site.

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