If m :
n = 8 : 3, find (7m + 4n) : (7m - 4n).

Question

Accepted Answer

1. Let $m=8k$ and $n=3k$ for some $k
eq0$.

2. Compute the sum: $7m+4n=7(8k)+4(3k)=56k+12k=68k$.

3. Compute the difference: $7m-4n=56k-12k=44k$.

4. Form the ratio: $68k:44k=68:44=\frac{68}{44}=\frac{17}{11}$, so the ratio is $17:11$.

FINAL_ANSWER: <c>

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