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    Question

    A mixture contains alcohol and water in the ratio of

    3:2. If 15 liters of water is added to the mixture, the ratio becomes 3:5. Find the initial quantity of alcohol in the mixture.
    A 24 liters Correct Answer Incorrect Answer
    B 18 liters Correct Answer Incorrect Answer
    C 21 liters Correct Answer Incorrect Answer
    D 15 liters Correct Answer Incorrect Answer

    Solution

    Let the initial quantities of alcohol and water be 3x and 2x liters, respectively. When 15 liters of water is added, the new ratio becomes 3:5: (3x) / (2x + 15) = 3/5 Cross-multiply: 5 × 3x = 3 × (2x + 15) 15x = 6x + 45 9x = 45 x = 5 Initial alcohol = 3x = 15 liters Correct answer: d) 15 liters

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