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

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) (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) (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
RELATED QUESTIONS
There are 10 children in a music class: 6 girls and 4 boys. In how many ways can the... (answered by ewatrrr)
A class of 30 music students includes 13 who play the piano, 16 who play the guitar, and (answered by Edwin McCravy)
Rina will hold her piano recital at the music hall of her school. The music hall has 12... (answered by ankor@dixie-net.com,josmiceli,MathTherapy,ikleyn)
A music class of eight girls and seven boys is having a recital. If each member is to... (answered by stanbon)
A pianist plans to play 6 pieces at a recital from her repertoire of 19 pieces. How many... (answered by ikleyn)
In a class of 50 students, 18 take music, 26 take art, and 2 take both art and music. How (answered by stanbon)
A pianist plans to play 8 pieces at a recital. In how many ways can she arrange these... (answered by solver91311)
Make an algebraic expression within this word problem and then solve it. Audrey was... (answered by ikleyn)
A teacher provides three special lessons, one in each Maths, Music, English and Science,... (answered by richwmiller)