Multiple choice

A bucket contains a mixture of milk and water in the ratio of 8:5. When 78 liters of the mixture is taken out and 24 liters of water is added, the ratio of milk and water becomes 8:13. How much quantity of milk does the bucket have initially?

  1. 64 liters

  2. 120 liters

  3. 80 liters

  4. 84 liters

  5. 72 liters
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let milk=8x, water=5x (total=13x). After removing 78L (milk removed=48L, water removed=30L): milk=8x-48, water=5x-30. Adding 24L water: water=5x-30+24=5x-6. New ratio: (8x-48)/(5x-6)=8/13. Cross-multiply: 104x-624=40x-48. Solving gives 64x=576, so x=9. Initial milk=8x=72L. Option E is correct.

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