If $x : y = 3 : 4$ , find $(3 x + 4 y) : (5 x + 6 y)$

39 : 25

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25 : 39

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30 : 25

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34 : 39

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Solution

The correct option is B $25 : 39$
Put $x = 3 y = 4$
$(3 x + 4 y) : (5 x + 6 y) = (3 \times 3 + 4 \times 4) : (5 \times 3 + 6 \times 4)$
$= (9 + 16) : (15 + 24)$
$= 25 : 39$

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