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If all of the employees of Company K who worked there last

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Joined: 17 Jan 2010
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If all of the employees of Company K who worked there last [#permalink]  22 Jan 2010, 06:50
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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.
Intern
Joined: 21 Jan 2010
Posts: 49
Followers: 0

Kudos [?]: 22 [0], given: 0

Re: Ratio and Proportion [#permalink]  22 Jan 2010, 08:26
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
_________________

________________________________________________________________________
Andrew
http://www.RenoRaters.com

Intern
Joined: 21 Jan 2010
Posts: 49
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Kudos [?]: 22 [0], given: 0

Re: Ratio and Proportion [#permalink]  22 Jan 2010, 08:27

I think the answer is 8400.
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________________________________________________________________________
Andrew
http://www.RenoRaters.com

Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41011 [0], given: 5654

Re: Ratio and Proportion [#permalink]  22 Jan 2010, 08:28
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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Intern
Joined: 17 Jan 2010
Posts: 33
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Kudos [?]: 8 [0], given: 8

Re: Ratio and Proportion [#permalink]  22 Jan 2010, 09:09
Two different equations, two variables

Yeah, that's the key!
Re: Ratio and Proportion   [#permalink] 22 Jan 2010, 09:09
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