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?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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