A mixture contains milk and water in ratio 5 : 1. On adding 5 liters of water, ratio of milk and water becomes 5 : 2....

Question

A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk and water becomes 5 : 2. What was the quantity of milk in the original mixture?

Answer 1

Milk after adding water = 5x
Water after adding 5 litres of water = 1x + 5
Now the new ratio = 5/2 = 5x/(1x + 5)
10x = 5x + 25
x = 5.
Therefore initially the milk was 5*5 = 25 Litres & water = 1*5 = 5 Litres.