SOLUTION: The average of a set of 12 numbers, which include 34, is A. If 34 is removed from the set and 38 is included to the set, what is the average of the new set of number in terms of A

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Question 983193: The average of a set of 12 numbers, which include 34, is A. If 34 is removed from the set and 38 is included to the set, what is the average of the new set of number in terms of A
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
I won't do your problem for you.  Instead I'll do one EXACTLY like it
so you can do yours EXACTLY the same way.

I'll do this one instead:

The average of a set of 14 numbers, which include 28, is A. If 28 is removed from
the set and 45 is included to the set, what is the average of the new set of
number in terms of A
Suppose the set of 14 numbers is {28,B,C,D,E,F,G,H,I,J,K,L,M,N}

Since the average = A,

%2828%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%2BM%2BN%29%2F14%22%22=%22%22A

So we multiply both sides by 14:

28%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%2BM%2BN%22%22=%22%2214A

We substract 28 from both sides

B%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%2BM%2BN%22%22=%22%2214A-28

We add 45 to both sides

45%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%2BM%2BN%22%22=%22%2214A-28%2B45

45%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%22%22=%22%2214A%2B17

We divide both sides by 14:

%2845%2BB%2BC%2BD%2BE%2BF%2BG%2BH%2BI%2BJ%2BK%2BL%2BM%2BN%29%2F14%22%22=%22%22%2814A%2B17%29%2F14

Answer:  %2814A%2B17%29%2F14

Now do yours the same way.

Edwin