Question

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?

a 36%
b 31%
c 27%
d 22%

Answer 1

22% of those surveyed liked neither pop nor rap music.

Explanation:

It is given that,

The 11th grade class at Red Hook high school was surveyed about the types of music they liked.

• Pop music ⇒ 64%
• Rap music ⇒ 52%
• Both pop and rap music ⇒ 38%

We know that, the total survey is 100%.

To find the percent of those surveyed liked neither of the music :

Let x be the percentage of those liked neither pop or rap music.

The formula used here is ,

Total = Pop + rap - Both + neither.

⇒ 100% = 64% + 52% - 38% + x

⇒ 100% = 78% + x

⇒ 100% - 78% = x

⇒ x = 22%

Therefore, 22% of those surveyed liked neither pop nor rap music.