Multiple choice

In a mixture, the ratio of the alcohol and water is 6: 5. When 22 litre mixture are replaced by water, the ratio becomes 9: 13. Find the quantity of water after replacement?

  1. 54 lit.

  2. 56 lit.

  3. 58 lit.

  4. 52 lit.

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Initial mixture: alcohol = 6x, water = 5x. Total = 11x. After removing 22L (which contains 12L alcohol and 10L water), remaining: alcohol = 6x - 12, water = 5x - 10. Adding 22L water: water = 5x - 10 + 22 = 5x + 12. New ratio 6x - 12 : 5x + 12 = 9:13. Cross-multiplying: 78x - 156 = 45x + 108. Solving gives 33x = 264, so x = 8. Final water = 5(8) + 12 = 52L.