Question

A vessel contains 33 litres of milk and water in the ratio 7:4.if the mixture is replaced with 4 litres of milk ,what is the quantity of milk in the mixture?

Answer 1

The total volume of the mixture is 33 liters.

Find the volume of the the constituting milk and water in the mixture:

ratio of milt to water = 7:4

Total of ratio = 7 + 4 = 11

Fraction of milk = 7/11

Fraction of water = 4/11

Amount of milk = 7/11 x 33 = 7 x 3 = 21 liters

Amount of water = 4/11 x 33 = 4 x 3 = 12 liters

When you take out 4 liters from the mixture and replace with milk this will be the new ratio:

(The ration in the mixture remains the same)

33 liters - 4 liters  = 29 liters

Find new volume of milk:

7/11 x 29 = 18.45 liters

The quantity of milk in the mixture will be:

18.45 liters + 4 liters = 22.45 liters

Amount of water in the mixture ----> 33 - 22.45 = 10.55 liters

The amount of milk = 22.45 liters
That of water = 10.55 liters