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      Question

      In a certain pond, there are 60 more crabs than fish.

      Unfortunately, 20% of the crabs have perished. Additionally, the pond has welcomed 80 new fish. As a result, the current ratio of crabs to fish is 3:4. Determine the original quantities of crabs and fish in the pond.
      A 640 Correct Answer Incorrect Answer
      B 320 Correct Answer Incorrect Answer
      C 480 Correct Answer Incorrect Answer
      D 600 Correct Answer Incorrect Answer
      E 540 Correct Answer Incorrect Answer

      Solution

      Let the initial number of crabs in the pond be ‘x’ Therefore, initial number of fish in the pond = (x – 60) According to the question, 0.8x/(x – 60 + 80) = 3/4 Or, 3.2x – 3x = 60 Or, x = 60/0.2 = 300 Therefore, initial number of fish and crabs in the pond = (x + x – 60) = 540

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