Given that 5/x = 15/(x+20), calculate the value of x/5.

Answer – The value of x/5 is 2.

Explanation:

In order to calculate x/5, the given equation must be used to find out the value of x.

$\frac{5}{x} = \frac{15}{(x + 20)}$

Cross-multiplying the two sides, we get

$5 (x + 20) = 15 x$

$\Rightarrow 5 x + 100 = 15 x$

$\Rightarrow 100 = 15 x - 5 x$

$\Rightarrow 100 = 10 x$

$\Rightarrow \frac{100}{10} = x$

$\Rightarrow x = 10$

Since x is 10,

$\frac{x}{5} = \frac{10}{5} = 2$

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