Question
In an office, there are some
employees. Among them, 30% prefer Tea, 42% prefer Coffee, and the rest prefer Juice. If the difference between half of the employees who prefer Coffee and the total number of employees who prefer Juice is 280, determine the total number of employees in the office.Solution
ATQ, Let the total number of employees in the office be 100p. Number of employees who like Tea = 100p × (30/100) = 30p Number of employees who like Coffee = 100p × (42/100) = 42p Number of employees who like Juice = 100p – 30p – 42p = 28p 28p – (42p/2) = 280 28p – 21p = 280 7p = 280 p = 40 Total number of employees in the office = 100 × 40 = 4,000
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