There is a 32 l mixture of milk and water. The ratio of milk and water in this mixture is 5 : 3. How many litres of water should be added to this mixture so that the resultant mixture has 50% water in it?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8.
the ratio of milk : water = 5 : 3,
so
Milk = (5/8) × 32 = 20 liters
Water = (3/8) × 32 = 12 liters
After adding x liters of water, the new total volume = 32 + x
Since we want the new mixture to be 50% water, the amount of water should be half of the total volume =
⇒ 12 + x =
⇒ 2(12 + x) = 32 + x
⇒ 24 + 2x = 32 + x
⇒ 2x − x = 32 − 24
⇒ x = 8
8 liters of water should be added to make the water content 50% of the new mixture.