SOLUTION: Forty Students in a music appriciation class could attend piano recital or a voice recital for extra points. Twenty students attended piano recital , 23 attended voice recital and

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Question 470657: Forty Students in a music appriciation class could attend piano recital or a voice recital for extra points. Twenty students attended piano recital , 23 attended voice recital and 6 atended neither. How many attended both?
We went over Venn Diagrams in class, but did not cover how to get the center number? Please help. Thanks
Found 2 solutions by sudhanshu_kmr, ewatrrr:
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!
6 students attended neither so, total 34 students attended class.
no. of students attended both = 20+23 - 34
= 43 - 34
= 9

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Forty Students in ALL. 40-6(attended neither) = 34 attended one or the other or both recital(s)

 20  + 23 = 43 in attendance.   43-34 = 9 attended both.



Checking our Answer

 only  DISABLED_event_one=   25   (11 + 14)

      both =   9

      none  =  6