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    Question

    40% of a neighborhood likes gardening and 60% likes DIY

    projects. If 25% enjoy both and the other 20 neighbors like neither, find the total number of neighbors.
    A 15 Correct Answer Incorrect Answer
    B 75 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total number of residents be 100x Residents who enjoy both swimming and running = 0.25 × 100x = 25x Residents who enjoy only swimming = 40x - 25x = 15x Residents who enjoy only running = 60x - 25x = 35x Residents who enjoy at least one activity =15x + 35x +25x = 75x ATQ,

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