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# If all of the employees of Company K who worked there last January are

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If all of the employees of Company K who worked there last January are [#permalink]

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22 Jan 2010, 07:50
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Difficulty:

25% (medium)

Question Stats:

83% (01:55) correct 17% (00:49) wrong based on 40 sessions

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If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?

(1) Last January the ratio of the number of male employees to the number of female employees was 2 to 3.
(2) Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jul 2015, 14:43, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If all of the employees of Company K who worked there last January are [#permalink]

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22 Jan 2010, 09:26
1) Last January the ratio of the number of male employees to the number of female
employees was 2 to 3.
2) Since last January, Company K has employed 400 new male employees and no
new female employees, raising the ratio of the number of male employees to the
number of female employees to 3 to 4

1. M:F = 2:3 (or M/F = 2/3) --> 3M = 2F
2. (M+400):F = 3:4 OR (M+400)/F = 3/4

4(M+400) = 3F
4M+1600 = 3F

From 1: 3M = 2F --> 9M = 6F
From 2: 4M+1600 = 3F --> 8M + 3200 = 6F = 9M
Therefore, M = 3200.

From 1: 3(3200) = 2F
9600 = 2F
F = 4800

So, the number of employees NOW is:
(3200 + 400) + 4800 = 8200
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Andrew
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Re: If all of the employees of Company K who worked there last January are [#permalink]

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22 Jan 2010, 09:27

I think the answer is 8400.
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Andrew
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Re: If all of the employees of Company K who worked there last January are [#permalink]

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22 Jan 2010, 09:28
Expert's post
rahulms wrote:
If all of the employees of Company K who worked there last January are still there, how many employees does Company K have now?

1) Last January the ratio of the number of male employees to the number of female employees was 2 to 3.
2) Since last January, Company K has employed 400 new male employees and no new female employees, raising the ratio of the number of male employees to the number of female employees to 3 to 4.

(1) $$\frac{m}{f}=\frac{2}{3}$$, only the ratio is given, hence clearly insufficient to determine the numerical value of employee.

(2) $$\frac{m+400}{f}=\frac{3}{4}$$. The same as in (1). Not sufficient.

(1)+(2) Two different equations, two variables, hence we can calculate $$m$$ and $$f$$. $$m+f+400$$ would be the # of employees now.

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Re: If all of the employees of Company K who worked there last January are [#permalink]

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22 Jan 2010, 10:09
Two different equations, two variables

Yeah, that's the key!
Re: If all of the employees of Company K who worked there last January are   [#permalink] 22 Jan 2010, 10:09
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