Multiple choice

How much water should be added in 44 liter mixture of milk and water containing milk and water in ratio 5:3 so that the percentage of milk in new mixture becomes 40%.

  1. 24 L

  2. 24.75 L

  3. 25.5 L

  4. 30.6 L
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial mixture: 44L with milk:water = 5:3, so milk = 44×(5/8) = 27.5L, water = 16.5L. Let x liters of water be added. New mixture has (27.5)/(44+x) = 40% = 0.4. Solving: 27.5 = 0.4(44+x), 27.5 = 17.6 + 0.4x, 9.9 = 0.4x, x = 24.75L.

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