Multiple choice

In a 48 ltr.mixture the ratio of milk and water is 5:3. How much water should be added in the mixture so as the ratio will become 3:5?

  1. 32 lit.

  2. 8 lit.

  3. 16 lit.

  4. 10 lit.

  5. None of these

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

In 48 liters with milk:water = 5:3, we have milk = 5/8 × 48 = 30 liters and water = 3/8 × 48 = 18 liters. To make the ratio 3:5 (milk:water), let x be the water added. Then 30/(18+x) = 3/5. Solving: 150 = 54 + 3x, so 3x = 96, x = 32. However, the correct reasoning should be: total mixture with x water added = 48 + x. For ratio 3:5, milk (30) should be 3/8 of total, so total = 30 × 8/3 = 80. Water added = 80 - 48 = 32 liters. Option A (32) is correct.