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    Question

    A container has a mixture of juice and soda in the ratio

    4:1. If half of the mixture is removed and replaced by 15 litres of soda, the resulting ratio of juice to soda becomes 8:7. What was the original quantity of the mixture?
    A 60 litres Correct Answer Incorrect Answer
    B 25 litres Correct Answer Incorrect Answer
    C 45 litres Correct Answer Incorrect Answer
    D 72 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial quantity of the mixture = тАШ2xтАЩ litres Then, quantity of the mixture left after removing half = тАШxтАЩ litres In тАШxтАЩ litres of mixture, let quantity of juice = тАШ4yтАЩ litres In тАШxтАЩ litres of mixture, let quantity of soda = тАШ1yтАЩ litres According to the question, 4y / (y + 15) = 8/7 тЗТ 7 ├Ч 4y = 8 ├Ч (y + 15) тЗТ 28y = 8y + 120 тЗТ 20y = 120 тЗТ y = 6 So, x = 4y + y = 5y = 5 ├Ч 6 = 30 litres Initial quantity of the mixture = 2x = 2 ├Ч 30 = 60 litres

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