Multiple choice

In the mixture of 49 litres of milk and water, the ratio of milk and water is 5 : 2. How much water should be added in the mixture so that the ratio of milk to water becomes 5 : 4?

  1. 35 litres

  2. 21 litres

  3. 7 litres

  4. 14 litres

  5. 11 litres

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial milk = 5/7 * 49 = 35, water = 14. Let x be water added. (35 / (14 + x)) = 5/4. 140 = 70 + 5x => 70 = 5x => x = 14.

AI explanation

Calculate the initial volume of milk as (5/7) * 49 = 35 litres. To make the ratio of milk to water 5 : 4, the required volume of water for 35 litres of milk must be (4/5) * 35 = 28 litres. Since the initial volume of water is 49 - 35 = 14 litres, the amount of water to be added is 28 - 14 = 14 litres.