of 90 youths surveyed, 32 liked both math and science, 17 liked only science and 41 liked math. How many did not like either subject?

Question

How do you use venn diagrams to solve this problem

Answer 1

Draw two overlapping circles.

 

Where they overlap, write "32."

 

Write "17" in the non-overlapping part for science.

 

Write "41" in the non-overlapping part for math.

 

Since the number of students who liked either subject or both is 17+41+32 = 90, no one disliked either subject.