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Fred, Norman, and Dave own a total of 128 comic books. If Dave owns 44 of them, what is the average
(arithmetic mean) number of comic books owned by Fred and Norman?

Respuesta :

Answer:

[tex]Mean = 42[/tex]

Step-by-step explanation:

Given

Represent Fred with F; Norman with N and Dave with D.

[tex]Total = 128[/tex]

[tex]D = 44[/tex]

Required

Determine the arithmetic mean of F and N

First, we have that:

[tex]F + N + D = 128[/tex]

Substitute 44 for D

[tex]F + N + 44 = 128[/tex]

Subtract 44 from both sides

[tex]F + N + 44 - 44 = 128 - 44[/tex]

[tex]F + N = 84[/tex]

Arithmetic mean of F and N is calculated as follows:

[tex]Mean = \frac{F + N}{2}[/tex]

[tex]Mean = \frac{84}{2}[/tex]

[tex]Mean = 42[/tex]