Question #N3

A survey of 100 people found that 60 people like apples, 50 people like bananas, and 20 people like both apples and bananas. How many people like only apples?
A. 10
B. 20
C. 40
D. 60

Correct Answer is: C

We can use a Venn diagram to solve this problem. Let represent the set of people who like apples, and represent the set of people who like bananas. We know that . The problem states that 20 people like both apples and bananas, so . To find the number of people who like only apples, we subtract the number of people who like both apples and bananas from the number of people who like apples. So, the number of people who like only apples is .