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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 β€˜A’ and mixture β€˜B’ be β€˜24x’ litres and β€˜36x’ litres, respectively.

    So, the sum of quantity of juice in mixture β€˜A’ and mixture β€˜B’ = (3/8) Γ— 24x + (5/9) Γ— 36x

    = 9x + 20x = β€˜29x’ litres

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

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

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