In 90 litres of a mixture of milk and water, the ratio of milk and water is 4 : 1. How much water should be added in the mixture so that the ratio of milk to water becomes 3 : 1 ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 6 litres.
Given:
Volume of mixture = 90 L
The ratio of milk and water = 4 : 1
The final ratio of milk and water in the mixture = 3 : 1
Explanation:
According to the given question,
⇒ 4x + 1x = 90
⇒ 5x = 90
⇒ x = 18
Quantity of milk in the mixture (4x) = 72
Quantity of water in the mixture(1x) = 18
Let the addible quantity of water be x
⇒ 72/(18 + x) = 3/1
⇒ 72 = 3(18 + x)
⇒ 72 = 54 + 3x
⇒ 18 = 3x
⇒ x = 6