Question

If the compound ratio of 3:
4 and 5:3 is 30:x then find the value of x

Answer 1

The value of x is 24

Step-by-step explanation:

Given ratios are 3:4 and 5:3

We know that if a:b and c:d are two given ratios then their compounded ratio is

$ac:bd$

Therefore, the compounded ratio of $3:4$ and $5:3$ are

$=(3\times 5):(4\times 3)$

$=5:4$

Given that

$5:4=30:x$

$\implies \frac{5}{4}=\frac{30}{x}$

$\implies x=\frac{30\times 4}{5}$

$\implies x=24$

Hope this helps.

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