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A company employs 20 workers for every 3 managers, and 5 managers for every director. If the total number of employees at the company is between 300 and 400, what is the number of managers who work at the company?

Re: A company employs 20 workers for every 3 managers, and 5 [#permalink]
17 Aug 2017, 14:00

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Expert's post

Carcass wrote:

A company employs 20 workers for every 3 managers, and 5 managers for every director. If the total number of employees at the company is between 300 and 400, what is the number of managers who work at the company?

A company employs 20 workers for every 3 managers, and 5 managers for every director. If the total number of employees at the company is between 300 and 400, what is the number of managers who work at the company?

1 director for 5 managers and 20 workers for 3 managers.... Let us take the number of managers as LCM of 3 and 5 or 15.. so 1 director for 5 managers means 1*3 director for 3*5 managers and 20 workers for 3 managers means 5*20 workers for 3*5 managers.. so the group is 3 director, 15 managers and 100 workers, thus a total of 3+15+100 = 118 Now multiple of 118 between 300 and 400 is 118*3.. Thus managers = 15*3=45
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