If 23m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\nOptions:\n(A) 2m −1\n(B) 4m\n(C) 6m\n(D) m/5\n(E) 8m Now, let's think a bit. Some random thoughts:
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23m - n = p\nAdd n to both sides:\n23m = n + p\nAdd m to both sides:\n24m = n + p + m\nNow, divide both sides by 3\n8m = (n + p + m)/3 = the average of n, p, and m
The final answer: (E).
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