A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.  Choose one: A) 300 B) 200 C) 250 D) 150 E) 160
Basically, this question is asking you to figure out how many students are being double-counted.   A-Club has 200 members (1/2 of 400)   B-Club has 250 members (5/8 of 400)   C-Club has 300 members (3/4 of 400)   We can create an equation to solve this:   200+250+300 = n + x + 2y   where n is the number of students, x is the number of students in two clubs, and y is the number of students in three clubs.   The question provides y for us (50).   750 = 400 + x + 100   x =250   250
<result>C</result>
A high school has 400 students 1/2 attend the airthmetic club, 5/8 attend the biology club and 3/4 attend the chemistry club. 1/8 attend all 3 clubs. If every student attends at least one club how many students attend exactly 2 clubs.