If x : y = 3;5, find the ratio $3 x + 4 y : 8 x + 5 y$

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Solution

Given x : y = 3 ; 5
Let x = 3k, y = 5k
$\frac{3 x + 4 y}{8 x + 5 y} = \frac{3 (3 k) + 4 (5 k)}{8 (3 k) + 5 (5 k)} = \frac{9 k + 20 k}{24 k + 25 k} = \frac{29 k}{49 k}$
$= \frac{29}{49}$

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Similar questions

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3 x + 4 y : 8 x + 5 y

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