Question

In a mixture of $126$ kg of milk and water, milk and water are in ratio $5:2$. How much water must be added to the mixture to make this ratio $3:2$?

Answer 1

Let $x$ signify water in original mixture and $y$ signifies milk

$x+y=126$

$5x=2y$

or $x=\frac{y}{2.5}$

$y+$($\frac{y}{2.5}$) $=126$

$y=90kgs\left(milk\right)$

$x=36kgs\left(water\right)$

Milk remains same as $90$ kgs but now ratio is $3:2$

let new water content be $z$

$3z=2$$\times$ $90$

Water quantity new $=60kgs$

Extra water added $=24kgs$