In a fraternity with 38 members , 18 take math, 5 take both math and literature and 8 take neither math or literature. how many take literature but not math?

Question

I came up with 16 is that correct or am i lost ?

Answer 1

I got 12

Make a Venn diagram consisting of two intersecting circles, one called M, the other called L
Put a rectangle around the circles.

place 5 in the intersection of M and L
since M contains 18 , but 5 are already written down, place 13 in the M only part of the circle.
place x in the L only part of L
place 8 in the rectangle outside the two circles

Now 13+5+x+8 = 38
x = 12