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In a fraternity with 34 members , 18 take mathematics, 5 take both mathematics and physics and 8 take neither mathematics nor physics. How many take physics hit not mathematics?

In a fraternity with 34 members 18 take mathematics 5 take both mathematics and physics and 8 take neither mathematics nor physics How many take physics hit not class=

Respuesta :

34-18=16
16-5=11
11-8=3

Answer = 3
34 total members....
5 take both math and physics
so, (18 - 5) = 13....take only math...
x ....take only physics
8 take neither

34 - 8 = 26 take math,physics, and both
13 + 5 + x = 26
18 + x = 26
x  = 26 - 18
x = 8

check...
both = 5
neither = 8
math = 13
physics = 8
added = 34

so only 8 take physics but not math