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 likes 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
I think its C..

Answer 1

66 - (31 + 5) = ?

Apparently none of the answers is correct.

Answer 2

Make a Venn diagram
Label it P and B, for pepperoni and banana

put 5 in the intersection of both circles
- of the 25 who like pepperoni, 5 are already counted, so put 20 in the P circle apart from the intersection.
- of the 31 who like banana peppers, 5 are already counted, so put 26 in the B circle apart from the intersection.

From the diagram we can see that 20 like pepperoni on their pizza but not banana.

btw, there are also 25 students who did not show any preference for either of the two pizzas.

Answer 3

25 - 5 = 20

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