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At Didymus Corporation there are just two classes of employe

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At Didymus Corporation there are just two classes of employe [#permalink] New post 20 Sep 2018, 07:33
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At Didymus Corporation there are just two classes of employees: Silver and Gold. The average salary of Gold is $56000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees then the average salary for the company is higher than the average salary for the silver?

A) 8000
B) 15000
C) 25000
D) 32000
E) 36000
[Reveal] Spoiler: OA
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Re: At Didymus Corporation there are just two classes of employe [#permalink] New post 20 Sep 2018, 07:50
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The ratio of silver employees to gold employees is

silver : gold = 120:160 = 12:16 = 3:4

If we divide the distance between the two averages by 7, then silver will be “four parts” away from the total average, and gold will be “three parts” away.

The difference is $56,000, so that divided by 7 is $8000. That’s one part. Four parts would be $32,000, which has to be the distance from the silver average to the total average.

C
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Re: At Didymus Corporation there are just two classes of employe [#permalink] New post 20 Sep 2018, 11:32
Carcass wrote:
The ratio of silver employees to gold employees is

silver : gold = 120:160 = 12:16 = 3:4

If we divide the distance between the two averages by 7, then silver will be “four parts” away from the total average, and gold will be “three parts” away.

The difference is $56,000, so that divided by 7 is $8000. That’s one part. Four parts would be $32,000, which has to be the distance from the silver average to the total average.

C

How can we take the algebraic approach?
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Re: At Didymus Corporation there are just two classes of employe [#permalink] New post 20 Sep 2018, 11:33
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it is cumbersome. You should always try to use the fastest approach.

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Re: At Didymus Corporation there are just two classes of employe [#permalink] New post 20 Sep 2018, 15:53
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rajlal wrote:
How can we take the algebraic approach?


Assume a salary for Silver employees=x

Now then salary of gold employees = x + $56,000.


Average salary of of comapny is = \(\frac{160 (x+56000)+ 120x}{160+120}\)

Difference between comapany average and silver =\(\frac{160 (x+56000)+ 120x}{160+120}-x\)=\(\frac{160 (x+56000)+ 120x -(160+120)x}{160+120}\)= \(\frac{160 (56000)}{160+120}=32000\)
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Re: At Didymus Corporation there are just two classes of employe   [#permalink] 20 Sep 2018, 15:53
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