Question
In a society, 20% of residents enjoy swimming and 35%
enjoy running. If 5% enjoy both activities and the rest, which amounts to 18 residents, enjoy neither, how many residents are there in total?Solution
ATQ, Let the total number of residents be 100x Residents who enjoy both swimming and running = 0.05 × 100x = 5x Residents who enjoy only swimming = 20x - 5x = 15x Residents who enjoy only running = 35x - 5x = 30x Residents who enjoy at least one activity =15x + 30x +5x = 50x ATQ, 
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