Question

    In a town of 2400 people, the ratio of boys to girls is

    3:5. If 200 more girls moved into the town, the ratio of boys to girls becomes 18:x. Find the value of (18 – x).
    A 25 Correct Answer Incorrect Answer
    B -15 Correct Answer Incorrect Answer
    C -16 Correct Answer Incorrect Answer
    D 11 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of boys in town = {3 / (3 + 5)} × 2400 = 900

    Number of girls in town = {5 / (3 + 5)} × 2400 = 1500

    According to question,

    900 : (1500 + 200) = 18 : x

    900 : 1700 = 18 : x

    18 : 34 = 18 : x

    Therefore, x = 34

    So, (18 – x) = 18 – 34 = –16

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