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).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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