Question #N749
A survey of 100 people found that 60 people liked apples, 40 people liked oranges, and 20 people liked both apples and oranges. How many people liked neither apples nor oranges?
A. 0
B. 10
C. 20
D. 30
Correct Answer is: C
We can use a Venn diagram to solve this problem. Draw two overlapping circles, one for apples and one for oranges. The overlap represents people who like both. Since 20 people liked both, we can fill in the overlap with 20. Since 60 people liked apples total, and 20 liked both, then 60-20 = 40 people liked only apples. Similarly, 40-20 = 20 people liked only oranges. This gives us a total of 40 + 20 + 20 = 80 people who liked at least one of the fruits. Therefore, 100-80 = 20 people liked neither apples nor oranges.