Multiple choice

Find the value of both quantities and then state the correct relationship. Quantity I : How many litres of water should be added to a 35-litre mixture of milk and water containing milk and water in the ratio of 4 : 3 such that the resultant mixture has 60% water in it? Quantity II : 14

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

In 35 litres with milk:water = 4:3, we have 20L milk and 15L water. Let x litres water be added. Total water = 15 + x, total mixture = 35 + x. For 60% water: (15 + x)/(35 + x) = 60/100 = 3/5. Solving: 5(15 + x) = 3(35 + x), 75 + 5x = 105 + 3x, 2x = 30, x = 15. Since 15 > 14, Quantity I is greater.

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