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    Question

    An 80-liter mixture consists of milk and honey in a 4:1

    ratio. If 'a' liters of honey and 20 liters of milk are added to the mixture, the resulting ratio of milk to honey changes to 3:2. Determine the value of 'a'.
    A 70 Correct Answer Incorrect Answer
    B 22 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Initial milk = 4/5 of 80 = 64 liters
    Initial honey = 16 liters
    After adding 20 liters milk => total milk = 64 + 20 = 84
    After adding 'a' liters honey => total water = 16 + a
    New ratio milk : honey = 3 : 2
    Hence 84 : (16 + a) = 3 : 2
    Cross multiply => 84 × 2 = 3(16 + a)
    168 = 48 + 3a
    3a = 120
    a = 40

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