Here is some information about 80 people who play in bands. 12 are singers but not guitar players. 30% are neither a singer nor a guitar player. 4 of the guitar players are also singers. Complete this Venn diagram to represent the information. -80 people who play in bands S = singers G-guitar players
Answers
Given : 80 people who play bands
12 are singers but not guitar players.
30% are neither a singer nor a guitar player.
4 of the guitar players are also singers.
To Find: Make a venn diagram
Solution:
Total = 80
Singer but not Guitar = 12
=> S - S ∩ G = 12
30% are neither a singer nor a guitar player = (30/100) * 100 = 24
24 are Neither
4 of the guitar players are also singers. => S ∩ G = 4
S - S ∩ G = 12
=> S - 4 = 12
=> S = 16
Total = S + G - S ∩ G + None
=> 80 = 16 + G - 4 + 24
=> G = 44
G but not S = G - S ∩ G = 44 - 4 = 40
Venn diagram attached
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