The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they liked pop music and 52% said they liked rap music. If 38% said they liked both pop and rap, what percent of those surveyed liked neither?

Question

Anya Bullock

Mathematics

12 July, 18:55

The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they liked pop music and 52% said they liked rap music. If 38% said they liked both pop and rap, what percent of those surveyed liked neither?

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Answers (1)

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Aurora Cameron · Answer 1

22% liked neither.

Step-by-step explanation:

Given,

64% liked pop music.

52% liked rap music.

38% liked both type of music.

To find out the percentage of those liked neither.

Now,

Let, total number of student = 100

Number of students liked pop = 64

Number of students liked rap = 52

Number of students liked both = 38

So,

Number of students who liked only pop = 64-38 = 26

Number of students who liked only rap = 52-38 = 14

Hence,

Number of students who liked neither = 100 - (26+14+38) = 22

22% liked neither.