Question

In an mixture of 120l of milk the ratio of water to milk is 2:3, what amount of water should be added in the mixture to get a water to milk ratio of 4:3​

Answer 1

The extra amount of water needed is 6 Liters.

GIVEN

Total mixture of milk and water = 120 l

Ratio of milk to water in the mixture = 2:3

TO FIND

Amount of water added to make the ratio 4:3

SOLUTION

We can simply solve the above problem as follows;

It is given,

Total amount of mixture = 120 liters

Ratio of milk and water = 2:3

Let the amount of milk in the mixture be 3x

The amount of water in the mixture be 2x

Therefore,

2x + 3x = 120

5x = 120

x = 120/5 = 24

So, Amount of milk in the orignal mixture = 3 × 24 = 72 litres

Amount of water in the orignal mixture = 120 - 72 = 48 litres.

Now the new ratio of water to milk = 4 :3

Let the amount of water needed to be added be y litres.

Therefore,

Ratio = Amount of milk /Amount of water

$\frac{4}{3} = \frac{72}{48 + y}$

On cross multiplying,

$4 \times 48 + 4 \times y = 72 \times 3$

192 + 4y = 216

4y = 24

y = 6

Hence, The extra amount of water needed is 6 Liters.

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