Question

The ratio of Milk to water is 5:4, if two litres of water is added, ratio becomes 10:9, then find new amount of water in the mixture
(a) 14 L
(b) 16 L
(c) 18 L
(d) 20 L
(e) 22 L

Answer 1

Answer:

Step-by-step explanation:

Let initial amount of the mixture be x.

Milk = 5/9x

Water = 4/9x

When we add 2 liters of water we get:

4/9x + 2

The new ratio is :

(5/9x)/(4/9x + 2) = 10/9

9(5/9x= = (4/9x + 2)10

5x = 40/9x + 20

45x = 40x + 180

45x - 40x = 180

5x = 180

x = 180/5

x = 36

Water = 4/9 × 36 = 16 liters

New amount of water = 16 + 2 = 18 liters