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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%

1 Answer

1 vote

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.

User Carnaru Valentin
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