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AJHSME 1991 Problem 23

Source:

June 24, 2011

Problem Statement

The Pythagoras High School band has 100100 female and 8080 male members. The Pythagoras High School orchestra has 8080 female and 100100 male members. There are 6060 females who are members in both band and orchestra. Altogether, there are 230230 students who are in either band or orchestra or both. The number of males in the band who are NOT in the orchestra is
(A) 10(B) 20(C) 30(D) 50(E) 70\text{(A)}\ 10 \qquad \text{(B)}\ 20 \qquad \text{(C)}\ 30 \qquad \text{(D)}\ 50 \qquad \text{(E)}\ 70
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