Question

A milk can contain $112$ litre of milk. How many liters of milk should be removed and same amount if water if added, the proportion of milk to water comes to be $13:3?$

• A. $\frac{336}{16}$
• B. $\frac{158}{13}$
• C. $\frac{178}{16}$
• D. $\frac{138}{13}$

Answer 1

The correct option is A $\frac{336}{16}$

Let $x$ litres of milk removed &

$x$ litres water added Originally, milk present $=112l$

After removal milk $=112-x$

& water $=x$

$\frac{milk}{water}=\frac{13}{3}$

$\therefore \frac{112-x}{x}=\frac{13}{3}$

$\therefore 336-3x=13x$

$\therefore 16x=336$

$\therefore x=21$ litres