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Company A has twice as many employees as Company B, and the

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Company A has twice as many employees as Company B, and the [#permalink] New post   07 Dec 2017, 03:21
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Company A has twice as many employees as Company B, and the two companies have no employees in common. If 64 percent of the employees of Company A are women and 52 percent of the employees of Company B are women, what percent of all the employees of the two companies are women?

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wongpcla
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Re: Company A has twice as many employees as Company B, and the [#permalink] New post   07 Dec 2017, 18:47
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My answer is 60%
I know there should be an easier way.
please let me know the formula, thank you so much
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Re: Company A has twice as many employees as Company B, and the [#permalink] New post   08 Dec 2017, 04:01
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Re: Company A has twice as many employees as Company B, and the [#permalink] New post   03 Aug 2022, 07:24
wongpcla wrote:
My answer is 60%
I know there should be an easier way.
please let me know the formula, thank you so much


The question gives us a ratio and two percentages, so let's solve the question using a weighted average.


(# of Company A employees) : (# of Company B employees) = 2 : 1

% female employees in Company A = 64%

% female employees in Company B = 52%

[2x (64) + x (52)] / 3x

(128x +52x) / 3x

180 / 3 = 60 -----> 60% of employees at both companies are female
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gmatclubot
Re: Company A has twice as many employees as Company B, and the [#permalink]
03 Aug 2022, 07:24
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