Question

    A jar initially contains 100 liters of alcohol. First, 25 liters of alcohol are stolen and replaced with water. Then, a second person takes 10 liters of alcohol and replaces it with water. Finally, a third person takes X liters of alcohol and replaces it with water. After this, the remaining amount of alcohol in the mixture is only 54 liters. What is the value of X?

    A 28 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 23 Correct Answer Incorrect Answer
    D 20 Correct Answer Incorrect Answer
    E 18 Correct Answer Incorrect Answer

    Solution

    Final quantity of alcohol in the mixture = 54 liters 100 × (100 - 25) / 100 × (100 - 10) / 100 × (100 - X) / 100 = 54 75 × 90 / 100 × (100 - X) / 100 = 54 27 / 40 × (100 - X) = 54 100 - X = 80 X = 20

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