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    Question

    A bag contains red and yellow marbles in the ratio 4:5,

    respectively. Also, the ratio of yellow to green marbles is 1:3. If the total number of marbles in the bag is 96, find the number of yellow marbles.
    A 20 Correct Answer Incorrect Answer
    B 27 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of red marbles in the bag = ‘4x’

    Then, number of yellow marbles in the bag = (5/4) × 4x = ‘5x’

    And, number of green marbles in the bag = (3/1) × 5x = ‘15x’

    According to the question,

    4x + 5x + 15x = 96

    Or, 24x = 96

    Or, x = (96/24) = 4

    So, number of yellow marbles in the bag = 5x = 5 × 4 = 20

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