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The workforce of Company X is 60% female. The company hired 20

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The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 28 Apr 2015, 15:27
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A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

60% (02:07) correct 40% (02:10) wrong based on 86 sessions

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The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420
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The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 28 Apr 2015, 15:45
2
1
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420


Let's \(x\) be total quantity of employees

\(0.6x=females\) before adding men
\(0.55(x+20)=females\) after adding men
as quantity of women doesn't change we can make an equation:
\(0.6x=0.55(x+20)\)
\(0.05x=11\)
\(x=220\) - this is quantity of employees before adding \(20\) men
So after adding it wil be \(240\)

Answer is C
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Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 28 Apr 2015, 20:54
2
Hi Turkish,

This question can be solved by TESTing THE ANSWERS.

We're told that a company is comprised of 60% female employees. After hiring an ADDITIONAL 20 male employees, the company is then comprised of 55% female employees. We're asked for the TOTAL number of employees that the company had AFTER hiring the 20 additional male employees.

We need to start with the initial group of employees, which means that we have to SUBTRACT 20 from each of the answer choices before we start our calculations.

Let's TEST Answer B: 220

220 - 20 = 200 original employees
60%(200) = 120 females

After the 20 males were hired...
120/220 = 12/22 = 5/11 = .4545 = about 45.5% female
This is TOO SMALL. Eliminate B.

Let's TEST Answer D: 360

360 - 20 = 340 original employees
60%(340) = 204 females

After the 20 males were hired....
204/360 = 51/90 = 17/30 = 56.666 = 56 2/3% female
This is TOO BIG. Eliminate D.

Since Answer B is too SMALL and Answer D is too BIG, the correct answer MUST be between these two...

Final Answer:

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Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 17 May 2015, 00:52
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420


Took 4 minutes to answer this just because I was confused what approach to take (percentage/ number plug in/ ratios)

Once you figure out that this is a ratio question, its pretty straightforward.

Initially:
m + f = Total
m/f = 40/60 = 2/3 (Ratio 1)

Later:
m+20/ f = 45/55 = 9/11 (Ratio 2)

Plug Ratio 1 in to Ratio 2 we get:
(2m + 40)/ 3m = 9/11

simplifying this we get Total men = 108 and total women = 132

132 + 108 = 240 Answer C

Please note we are asked for m + 20 + f (the new total) and not just m + f (old total)

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Re: The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 28 May 2016, 08:05
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420

Let toal no. of employees=x
No of female before hiring males=60x/100
after hiring total employees=x+20
no of females now=55(x+20)/100
As no. of females were same before and after hiring process so,
60x/100=55(x+20)/100
x=220
so after hiring 20 males=220+20=240
Ans C
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The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 28 May 2016, 08:44
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420


Let Total workforce is x.
Females: 0.6x
Males: 0.4x

20 male workers are hired.

Total: x+20
Females: 0.6x
Males: 0.4x+20

\(\frac{0.6x}{x+20}\) = 0.55

0.6x= 0.55x+11
0.05x = 11

x = 220

Company had x+20 employees that is 240 employees after hiring male workers.
C is the answer
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The workforce of Company X is 60% female. The company hired 20  [#permalink]

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New post 07 Feb 2019, 15:00
Turkish wrote:
The workforce of Company X is 60% female. The company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55%.How many employees did the company have after hiring the additional male workers?

1.160
2.220
3.240
4.360
5.420



Got tricked by How many employees did the company have after hiring the additional male workers?

\(\frac{.6x}{x+20} = 0.55\)

Solve for x and we get 220. Add the additional 20 employees and we get 240
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The workforce of Company X is 60% female. The company hired 20   [#permalink] 07 Feb 2019, 15:00
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