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Omicron Publishing Corp. has 3 female employees for every 5 male emplo

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Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 27 Apr 2017, 02:43
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Omicron Publishing Corp. has 3 female employees for every 5 male employees. If the average salary for the female employees is $217,000 and Omicron pays $8,463,000 in salary to female employees, how many men work at Omicron Publishing?

A. 13
B. 26
C. 39
D. 65
E. 104

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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 27 Apr 2017, 02:50
Given the ratio of employees
Female : Male = 3:5
Hence, if the total employees are 8x, 3x are women and 5x are male!
Average salary per female employee is 217000, Total paid to female employees is 8463000
Number of female employees is 8463000/217000 = 39
If 3x is 39, Number of male employees will be 5x or 65(Option D)
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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 28 Apr 2017, 04:05
4
Bunuel wrote:
Omicron Publishing Corp. has 3 female employees for every 5 male employees. If the average salary for the female employees is $217,000 and Omicron pays $8,463,000 in salary to female employees, how many men work at Omicron Publishing?

A. 13
B. 26
C. 39
D. 65
E. 104



Do not bother calculating anything.
number of males is multiple of 5

Only D satisfies the condition above.
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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 02 May 2017, 16:51
1
Bunuel wrote:
Omicron Publishing Corp. has 3 female employees for every 5 male employees. If the average salary for the female employees is $217,000 and Omicron pays $8,463,000 in salary to female employees, how many men work at Omicron Publishing?

A. 13
B. 26
C. 39
D. 65
E. 104


We are given that the ratio of males employees to female employees is 3 to 5 = 3x : 5x.

We are also given that the average salary for the female employees is $217,000 and Omicron pays $8,463,000 in salary to female employees.

We can create the following equation to determine x:

217,000(3x) = 8,463,000

3x = 39

x = 13

Thus, there are 5 x 13 = 65 men.

Answer: D
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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 10 May 2017, 02:24
Is there any quicker way to solve this question ?
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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 23 May 2017, 00:36
singhabhijeet wrote:
Is there any quicker way to solve this question ?


YES

As Mo2men mentioned, females and males are in the ratio 3:5.
Number of males must then be a multiple of 5, and there is only one option D which is a multiple of 5
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Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo  [#permalink]

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New post 23 May 2017, 10:33
8463/x = 217
x = 39
39 women

3/39 = 5/x
3x = 5 x 39
x = 65

Which is answer D
Re: Omicron Publishing Corp. has 3 female employees for every 5 male emplo &nbs [#permalink] 23 May 2017, 10:33
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