A vessel contains 18 litres mixture of milk and water in the ratio 5 : 1. If 3 litres of milk is added to the vessel, then how much water (in litres) should be added to the vessel to have milk and water in the ratio 9 : 2?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1.
Initial volume of milk = 18 × (5/6) = 15 liters Initial volume of water = 18 × (1/6) = 3 liters
After adding 3 liters of milk: Volume of milk = 15 + 3 = 18 liters Volume of water = 3 liters
Let x liters of water be added to make the ratio 9:2.
So, 18 / (3+x) = 9/2
⇒ 36 = 27 + 9x
⇒ 9x = 9
⇒ x = 1
Therefore, 1 liter of water should be added.