Question #N155
A survey of 100 people found that 60 people like apples, 40 people like oranges, and 15 people like both apples and oranges. How many people like neither apples nor oranges?
A. 5
B. 15
C. 25
D. 35
Correct Answer is: C
We can use a Venn diagram to solve this problem. Let A represent the set of people who like apples and O represent the set of people who like oranges. The number of people who like both apples and oranges is represented by the intersection of A and O. The number of people who like only apples is 60 - 15 = 45. The number of people who like only oranges is 40 - 15 = 25. The total number of people who like apples or oranges is 45 + 15 + 25 = 85. Therefore, the number of people who like neither apples nor oranges is 100 - 85 = 15.