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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 โ€˜xโ€™.
      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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