Answer:
The missing part is the intersection of all 3, label it x
Now look at the intersection of A and C, it must be 34.
But you already have x accounted for in the intersection of all 3.
So label the part in A and C, but not B as 34-x
36 study A and B, so the part of A and B, but not C is
36-x
Given that 53 study Art, in the A only part we can put
53-(36-x) - (34-x) -x = x - 17
6 study B only, put that in.
So the missing part of B is 60 - 6 - (36-x) - x
= 18
18 study B , but not C, so they could be in A
label the part of A and B, but not C as 18
BUT, we already know that A and B, not C, is 36-x
So 36-x = 18
X=18
I think we are done
Finish circle A, with A only as x-17 or
