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      Question

      A and B are mixtures with milk:water 4:1 and 6:7

      respectively. When mixed, the final quantity is 0.705 litres, and the final milk to water ratio is 82:59. Find the initial quantity of mixture B.
      A 200 ml Correct Answer Incorrect Answer
      B 455 ml Correct Answer Incorrect Answer
      C 250 ml Correct Answer Incorrect Answer
      D 330 ml Correct Answer Incorrect Answer

      Solution

      ATQ, In A: milk 4x ml, water 1x ml. In B: milk 6y ml, water 7y ml. Total = 0.705 L = 705 ml Milk in 705 ml = (82/141) × 705 = 410 ml Water in 705 ml = 705 – 410 = 295 ml Thus, 4x + 6y = 410 x + 7y = 295 Solving ⇒ x = 50, y = 35 Quantity of mixture B = y × (6+7) = 35 × 13 = 455 ml

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