A 90-litre mixture contains milk and water in the ratio 7:2. If 'x' litres of milk and 'x' litres of water are added to the mixture, the new ratio of milk to water becomes 5:2. What is the value of 'x'?
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 13.33 liters.
Milk = (7/9) × 90 = 70 litres
Water = (2/9) × 90 = 20 litres
After adding 'x' litres of milk and 'x' litres of water, the new ratio of milk to water = 5 : 2
(70 + x)/(20 + x) = 5/2
⇒ 140 + 2x = 100 + 5x
⇒ 3x = 40 = 40/3 ≈ 13.33 litres