Discussion Forum

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. Find the quantity of alcohol in the given mixture.

Answer:

Explanation:

Let the quantity of alcohol and water be $4x$ litres and $3x$ litres respectively.

Then, $ \frac{4x}{3x+5} $ $=\frac{4}{5} $

$\Leftrightarrow 20x = 4(3x+5)$

$\Leftrightarrow 8x=20$  $\Leftrightarrow x=2.5$

Quantity of alcohol $=(4\times 2.5)$ litres = 10 litres.