SOLUTION: In a group of 80 high school student, 30 study Spanish, 40 study French, and 25 study neither Spanish nor French. How many of 80 students study both Spanish and French? (A) 18

Question 253195: In a group of 80 high school student, 30 study Spanish, 40 study French, and 25 study neither Spanish nor French. How many of 80 students study both Spanish and French?
(A) 18 (B) 15 (C) 20 (D) 16 (E) 13
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a group of 80 high school student, 30 study Spanish, 40 study French, and 25 study neither Spanish nor French. How many of 80 students study both Spanish and French?
(s and f) = s + f - (s or f)
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Note:
(s or f) = 80-(s or f)' = 80 - 25 = 55
--------
Therefore:
s and f = 30 + 40 - 55
---
s and f = 15
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Cheers,
Stan H.
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(A) 18 (B) 15 (C) 20 (D) 16 (E) 13

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