Question #N91

A survey of 100 students found that 60 students liked apples, 40 students liked oranges, and 15 students liked both apples and oranges. How many students liked 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 the number of students who like only apples be and the number of students who like only oranges be . We know that , , and . We can use the following equation to find the number of students who like neither apples nor oranges: , or . Therefore, students liked neither apples nor oranges.