New 55% Off on All Courses - Enroll Now! Click Here

    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

    Practice Next

    Relevant for Exams: