Question

A mixture contains milk and water in the ratio 3 2. If 10 litres of the mixture is taken out and replaced with 10 litres water, the amount of water and milk becomes equal in the mixture.The initial quantity of milk in the mixture.

Answer 1

Answer:

60 litres.

Step-by-step explanation:

Given the ratio of milk and water in the mixture = 3 : 2

Let milk = 3x,

Water = 2x,

Where, x is any positive real number,

So the total quantity of the mixture = 3x + 2x = 5x

After taking 10 litre of mixture, then pouring by 10 liter water

New quantity of mixture = 5x - 10 + 10 = 5x,

New quantity of water = 2x + 10,

If the resultant mixture has water and milk are in the ratio of 1 : 1

Then the part of water in the resultant mixture = $\frac{1}{2}$

I.e. $\frac{2x+10}{5x}=\frac{1}{2}$

$4x+20=5x$

$\implies x = 20\text{ liters}$

Hence, the initial quantity of milk in the mixture would be 60 litres.