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A company employs 20 workers for every 3 managers, and 5
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15 Aug 2017, 01:35
15 Aug 2017, 01:35
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73% (01:46) correct
26% (01:59) wrong based on 98 sessions
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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?
enter your value
Show: :: OA
45
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A company employs 20 workers for every 3 managers, and 5
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17 Aug 2017, 14:00
17 Aug 2017, 14:00
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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?
enter your value
enter your value
Show: :: OA
45
Let W = # of workers
Let M = # of managers
Let D = # of directors
Company employs 20 workers for every 3 managers
So, W : M = 20 : 3
Company employs 5 managers for every 1 director
So, M: D = 5: 1
The common value is the number of managers. So, let's create some EQUIVALENT ratios so that both ratios have the same number of managers.
Take 20 : 3 and multiply both values by 5 to get: 100 : 15
Take 5: 1 and multiply both values by 3 to get: 15: 3
We can now COMBINE the ratios to get: W : M : D = 100 : 15 : 3
So, one POSSIBLE scenario is that there are 100 workers, 15 managers, and 3 directors for a TOTAL of 118 people.
Another POSSIBLE scenario is that there are 200 workers, 30 managers, and 6 directors for a TOTAL of 236 people.
Another POSSIBLE scenario is that there are 300 workers, 45 managers, and 9 directors for a TOTAL of 354 people. PERFECT!!
We're told that the total number of employees at the company is between 300 and 400.
So, the last scenario meets this condition.
So, there must be 45 managers
Answer: 45
General Discussion
Re: A company employs 20 workers for every 3 managers, and 5
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08 Jan 2019, 07:51
08 Jan 2019, 07:51
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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?
enter your value
Show: :: OA
45
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
