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..
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.
25 - 5 = 20
raccoon nation 2020
To solve this problem, we can use the principle of inclusion-exclusion. Let's break it down step by step:
1. Begin by adding the number of students who like pepperoni pizza (25) with the number of students who like banana peppers pizza (31). This will give us the total number of students who like either pepperoni or banana peppers or both on their pizza: 25 + 31 = 56.
2. Since we have counted the 5 students who like both pepperoni and banana peppers pizza twice (once in each category), we need to subtract this count once to correct for the overlap: 56 - 5 = 51.
3. Now, we can subtract this count from the total number of students surveyed (66) in order to find the number of students who do not like banana peppers on their pizza: 66 - 51 = 15.
Therefore, the correct answer is 15 students who do not like banana peppers on their pizza, and none of the provided answer choices (A, B, C, D) match this count.
66 - (31 + 5) = ?
Apparently none of the answers is correct.