Question

A cistern of milk caitains a mixture of milk and water in the ratio of 11 :4. If the cistern contains 60 litres of milk, how much more water must be added to make the 
ratio of milk to water as 11:6 ?

Answer 1

Quantity of milk = ` 60 xx 11/15 = 44` litres 

Quantity of water in it= 60-44 = 16 litres 

New ratio= 11:6 

Let quantity of water to be added further be x litres. 

Then, milk : water = `44/(16 + "x")`

Now , 

`44/(16 + "x") = 11/6`

⇒ 264 = 176 + 11x 

⇒ 11x = 88 

⇒ x = 8 

Therefore, 8 litres of water need to be added further.