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      Question

      In a mixture of 180 liters comprising orange juice and

      sugar syrup in a 5:4 ratio, if 'p' liters are removed and 16 liters of sugar syrup are added to the remaining mixture, the resulting mixture has equal amounts of juice and sugar syrup. Determine the value of (2p + 17).
      A 89 Correct Answer Incorrect Answer
      B 75 Correct Answer Incorrect Answer
      C 65 Correct Answer Incorrect Answer
      D 85 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Initial quantity of orange juice = 180 × (5/9) = 100 liters Initial quantity of sugar syrup = 180 × (4/9) = 80 liters According to the question, 100 – p × (5/9) = 80 – p × (4/9) + 16 Or, 100 – (5p/9) = 80 – (4p/9) + 16 Or, (p/9) = 4 Or, p = 36 Or, (2p + 17) = 89

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