Question
The ratio of senior to junior employees in the company
is 7:5. The ratio of male to female junior employees is 3:2, and the overall ratio of male to female employees in the company is 9:7. What is the ratio of male to female senior employees in the company?Solution
Number of senior employees = 7x Number of junior employees = 5x Total number of male employees = 9y Total number of female employees = 7y Number of male junior employees = 5x * 3/5 = 3x Number of female junior employees = 5x * 2/5 = 2x Number of male senior employees = 9y – 3x Number of female senior employees = 7y – 2x 7x = 9y – 3x + 7y – 2x 12x = 16y 3x = 4y Number of male senior employees = 9y – 4y = 5y Number of female senior employees = 7y – 2*(4y/3) =13y/3 Required ratio = 5y:13y/3 = 15:13
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