In a recent survey of middle school students about pizza toppings, it was found that 25 students like pepperoni pizza, 31 like banana peppers pizza, and 5 liked both pepperoni and banana peppers on their pizza. If 66 students were surveyed, how many students do not like banana peppers on their pizza?

Question

In a recent survey of middle school students about pizza toppings, it was found that 25 students like pepperoni pizza, 31 like banana peppers pizza, and 5 liked both pepperoni and banana peppers on their pizza. If 66 students were surveyed, how many students do not like banana peppers on their pizza?

A. 20
B. 34
C. 31
D. 35

Answer 1

We can solve the problem using the principle of inclusion-exclusion. We start by adding the number of students who like pepperoni and the number of students who like banana peppers, but we need to subtract the number of students who like both, so we don't count them twice:

25 + 31 - 5 = 51

So 51 students like either pepperoni or banana peppers or both. Since there were 66 students surveyed, the number of students who do not like banana peppers is:

66 - 31 = 35

Therefore, the answer is (D) 35.