SOLUTION: Solve using a Venn Diagram. Of the 154 student musicians, 72 are in marching band, 35 are in the jazz band, and 20 are in both. A)Draw a Venn Diagram B)How many are in nei

Question 308692: Solve using a Venn Diagram.
Of the 154 student musicians, 72 are in marching band, 35 are in the jazz band, and 20 are in both.
A)Draw a Venn Diagram

B)How many are in neither?
C)How many play the jazz band, but not the marching band?
D)How many play only in the marching band?
E)What is a Venn Diagram?
Answer by CharlesG2(834) (Show Source): You can put this solution on YOUR website!
"Solve using a Venn Diagram.
Of the 154 student musicians, 72 are in marching band, 35 are in the jazz band, and 20 are in both.
A)Draw a Venn Diagram
B)How many are in neither?
C)How many play the jazz band, but not the marching band?
D)How many play only in the marching band?
E)What is a Venn Diagram?"
A & E) 1. draw 2 overlapping circles: circle M represents the set of those in the Marching band, circle J represents those that are in the Jazz band, and MJ represents where the 2 circles overlap, MJ are those that are in both groups
2. these overlapping circles are your Venn Diagram, it is meant to make problems involving the relationships between a finite number of sets (groups of things) easier
B) 154 total - 72 marching band - 35 jazz band
154 - 107 = 47 in neither
C) 35 jazz band - 20 both = 15 just the jazz band
D) 72 marching band - 20 both = 52 just the marching band

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