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      Question

      Mixtures A and B contain milk and water in the ratios

      5:3 and 7:4 respectively. When they are blended, the total volume of the mixture is 0.65 litres, and the final milk to water ratio becomes 41:24. Find the original quantity of mixture B.
      A 200 ml Correct Answer Incorrect Answer
      B 150 ml Correct Answer Incorrect Answer
      C 250 ml Correct Answer Incorrect Answer
      D 330 ml Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let quantities of milk and water in A be 5x ml and 3x ml, and in B be 7y ml and 4y ml respectively. Total = 0.65 L = 650 ml Milk in 650 ml = (41/65) × 650 = 410 ml Water in 650 ml = 650 – 410 = 240 ml So, 5x + 7y = 410 3x + 4y = 240 Solving ⇒ x = 40, y = 30 Quantity of mixture B = y × (7+4) = 30 × 11 = 330 ml

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