Question #N355
A survey asked 100 people whether they liked apples, bananas, or both. 75 people liked apples, 60 people liked bananas, and 40 people liked both. How many people liked neither apples nor bananas?
A. 15
B. 25
C. 35
D. 45
Correct Answer is: A
We can use a Venn diagram to solve this problem. Let A represent the set of people who like apples and B represent the set of people who like bananas. The number of people who like both apples and bananas is represented by the intersection of A and B. We know that 75 people like apples, but 40 of those people also like bananas, so 75 - 40 = 35 people like only apples. Similarly, 60 - 40 = 20 people like only bananas. The total number of people who like apples, bananas, or both is 35 + 20 + 40 = 95. Therefore, 100 - 95 = 15 people like neither apples nor bananas.