# In a mixture of 13 litres, the ratio of milk and water is 3 : 2.

In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?

## Answer/Solution

9 : 4

### Steps/Work

Given: Total quantity of mixture = 13 liters

3 litres of mixture is removed from the container – So, let's forget this altogether!

Now, you are left with only 10 litres of mixture in 3:2 ratio.

Milk in 10 litres mix = 10 x 3 = 6 litres

(2 + 3)

Water in 10 litres mix = 10 x 2 = 4 litres

(2 + 3)

We add 3 litres milk to this.

So, milk in new mix is = 6 liters + 3 litres = 9 litres

Water= 4 litres

Ratio of milk : water = 9 : 4

Correct option: D

3 litres of mixture is removed from the container – So, let's forget this altogether!

Now, you are left with only 10 litres of mixture in 3:2 ratio.

Milk in 10 litres mix = 10 x 3 = 6 litres

(2 + 3)

Water in 10 litres mix = 10 x 2 = 4 litres

(2 + 3)

We add 3 litres milk to this.

So, milk in new mix is = 6 liters + 3 litres = 9 litres

Water= 4 litres

Ratio of milk : water = 9 : 4

Correct option: D