Question

10. A vessel contains 40 litres mixture of milk and water in the ratio 3:1. What quantity
of water is to be added so that the resulting mixture contains milk and water in the
ratio 5:2.​

Answer 1

Answer:

2 Litres of water

Step-by-step explanation:

Total mixture = 40 L

Milk : Water = 3 : 1

So, in the vessel

Milk = (3/4) × 40 L = 30 Litres

Water = (1/4) × 40 L = 10 Litres

After adding "x" amount of water

Total mixture = 40 + x

Milk : Water = 5 : 2

Milk = (5/7) × (40 + x) = 30 Litres

(since milk is not added)

40 + x = 30 × 7/5

x = (30 × 7/5) - 40

x = 42 - 40

x = 2 Litres