If u:v = 2:3, find the ratio 15u + 12v : 20u + 16v

1:4

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3:4

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4:3

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6:5

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Solution

The correct option is B
3:4

Given that $\frac{u}{v} = \frac{2}{3}$

Now,

$\frac{15 u + 12 v}{20 u + 16 v}$

$= \frac{v (\frac{15 u}{v} + 12)}{v (\frac{20 u}{v} + 16)}$

$= \frac{\frac{15 u}{v} + 12}{\frac{20 u}{v} + 16}$

$= \frac{15 \times (\frac{2}{3}) + 12}{20 \times (\frac{2}{3}) + 16}$

$= \frac{22 \times 3}{88} = \frac{3}{4}$

The required ratio is 3:4

Suggest Corrections

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\frac{20 u^{3} v^{2} - 15 u^{2} v}{10 u^{4} v + 30 u^{3} v^{3}}

ε

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