A mixture contains juice and water in the ratio 5:2. If 10 litres of water are added to this mixture, the ratio of juice to water becomes 2:1. What was the initial quantity of the mixture (in litres)?
Show answer & explanation
Correct answer: C
Explanation
Let the initial quantities be:
Juice = 5x liters
Water = 2x liters
Upon adding 10 liters of water,
Juice : Water = 2 : 1
5x / (2x + 10) = 2 / 1
5x = 4x + 20
x = 20
Therefore, the initial mixture = (5 + 2)x
= 7 × 20= 140 liters