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    Question

    Mixture A has juice and water in a ratio of 3:5, while

    mixture B has juice and water in a ratio of 5:4. If these two mixtures are combined in a 2:3 ratio (A to B), what will be the ratio of juice to water in the final mixture?
    A 15:17 Correct Answer Incorrect Answer
    B 29:31 Correct Answer Incorrect Answer
    C 17:15 Correct Answer Incorrect Answer
    D 18:35 Correct Answer Incorrect Answer

    Solution

    Let, the total quantity of mixture ‘A’ and mixture ‘B’ be ‘24x’ litres and ‘36x’ litres, respectively.

    So, the sum of quantity of juice in mixture ‘A’ and mixture ‘B’ = (3/8) × 24x + (5/9) × 36x

    = 9x + 20x = ‘29x’ litres

    Sum of quantity of water in mixture ‘A’ and mixture ‘B’ = (24x + 36x) – 29x = 60x – 29x = ‘31x’ litres

    So, the required ratio = 29x:31x = 29:31

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