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If 11m-n=p, then which of the following represents the average of m, n, and p, in terms of m?

The answer is 4m, but I got 2m, what did I do wrong? I got: p=11m-n 11m-n-p+11m+p+n\frac{}{11}=22/11m=2m

n=-p+11m

m=p+n/11

Dear kennavalkyrie, I'm happy to respond. Unfortunately, the way you have presented your work is unclear enough that I cannot follow what you were thinking. I think part of the problem, in that last line, is that when you divide by 11, you need to divide every term. Relatedly, I think you are neglecting grouping symbols, and overlooking these core mathematical symbols leads to a large number of mistakes. See: http://magoosh.com/gmat/2013/gmat-quant ... g-symbols/

I will show you the solution: 11m - n = p Add n to both sides: 11m = n + p Add m to both sides: 12m = n + p + m Now, divide both sides by 3 4m = (n + p + m)/3 = the average of n, p, and m