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Re: The workforce of Company X is 60% female. The company hired 20 [#permalink]
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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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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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]
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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Re: The workforce of Company X is 60% female. The company hired 20 [#permalink]
f/t --> 0,6
f/(t plus 20) --> 0.55

where t is the total workers

f --> 0.6t
f --> 0.55 x (t plus 20)

setting the 2 euqal, we get t as 220

and now i know why i got this wrong...i forgot to add the 20!!!!!

great question for careless readers like me!
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Re: The workforce of Company X is 60% female. The company hired 20 [#permalink]
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Re: The workforce of Company X is 60% female. The company hired 20 [#permalink]
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