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    Question

    The number of cats and dogs in a shelter is 450 and 300,

    respectively. When (x + 30) cats and 2x dogs are added, the ratio of cats to dogs becomes 4:3. Find the value of тАШxтАЩ.
    A 72 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 48 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question,
    (450 + x + 30) / (300 + 2x) = 4 / 3
    Or, 3(480 + x) = 4(300 + 2x)
    Or, 1440 + 3x = 1200 + 8x
    Or, 5x = 240
    Or, x = 48

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