In a mixture of 60 litres, the ratio of wine to water is 1:2. If this ratio is to be 1:3, then what quantity of water needs to be added?
Show answer & explanation
Correct answer: D
Explanation
Given:
Total mixture = 60 liters
Alcohol : Water = 1 : 2
Total parts = 1 + 2 = 3
Alcohol = (1/3) × 60 = 20 liters
Water = (2/3) × 60 = 40 liters
Let x liters of water be added.
New ratio:
20 : (40 + x) = 1 : 3
3 × 20 = 40 + x
60 = 40 + x
x = 20 liters
Water to be added = 20 liters.