Question
In a hospital, the ratio of nurses to doctors is 5:2.
30% of nurses and 40% of doctors are working in the emergency department, and 20% of the remaining staff work in the outpatient department. What is the number of staff working in the outpatient department, if the total staff is 700?Solution
ATQ, Total staff = 700 Let the number of nurses and doctors be 5x and 2x, respectively. Equation: 5x + 2x = 700 Solve for x: 7x = 700, x = 100 Number of nurses = 500, Number of doctors = 200 Number in emergency department = 30% of 500 + 40% of 200 = 150 + 80 = 230 Remaining staff = 700 - 230 = 470 Number in outpatient department = 20% of 470 = 94
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