Question

in a mixture of 45 litres the ratio of milk and water is 3:2 how much water is added to make it 9:11

Answer 1

The amount of milk is :

Sum of the ratios is 3 + 2 = 5

3/5 × 45 = 27 litres

The amount of water is :

2/5 × 45 = 18litres

Let the added amount of water be x then :

18 + x

The new amount in the ratio is :

27 : 18 + x = 9 : 11

27/(18 + x) = 9/11

297 = 9(x + 18)

297 = 9x + 162

9x = 297 - 162

9x = 135

x = 135/9

x = 15 litres