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      Question

      A 456 ml mixture consists of milk and water in a 12:7

      ratio. If 'x + 22' ml of milk and 'x - 18' ml of water are added, the new ratio of milk to water becomes 9:5. Determine the value of 'x'.
      A 60 Correct Answer Incorrect Answer
      B 50 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Quantity of milk in 456 ml of mixture = (12/19) Γ— 456 = 288 ml Quantity of water in 456 ml of mixture = 456 – 288 = 168 ml So, {(288 + x + 22)/(168 + x – 18)} = 9/5 Or, 1550 + 5x = 1350 + 9x Or, 4x = 200 Or, x = 50 Hence, option b

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