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Let the initial quantities of alcohol and water be 7x and 3x liters, respectively. After adding 15 liters of water, the ratio becomes 7:5. (7x) / (3x + 15) = 7 / 5. Cross multiply: 5(7x) = 7(3x + 15). 35x = 21x + 105. 35x - 21x = 105 14x = 105. x = 105 / 14 = 7.5. Initial quantity of alcohol = 7x = 7 × 7.5 = 52.5 liters. Correct option: b
If x = 15
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