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The chart above shows the number of weeks of vacation taken

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The chart above shows the number of weeks of vacation taken

by alanforde800Maximus » Sun Oct 16, 2016 8:19 pm
The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the work force, of whom 46% are female. If 20% of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

a) 4.6 million
b) 10.8 million
c) 14.2 million
d) 21.6 million
e) 28.4 million

Please assist with above problem.
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by fiza gupta » Mon Oct 17, 2016 12:53 am
Total workers = 200 million
workers taking 1 week of vacation = 25% = 200*25/100 = 50 million
female workers are 46%, male workers = 54%
20% male workers take 1 week vacation = 200*54/100*20/100 = 21.6 million
female workers = 50-21.6 = 28.4 million
SO E
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by Jay@ManhattanReview » Thu Dec 15, 2016 3:51 am
alanforde800Maximus wrote:The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the work force, of whom 46% are female. If 20% of male workers take 1 week of vacation, how many female workers take 1 week of vacation?

a) 4.6 million
b) 10.8 million
c) 14.2 million
d) 21.6 million
e) 28.4 million

Please assist with above problem.
From the chart, we know that 25% of the total workers (Male and Female) take 1-week of vacation.

=> Total # of 1-week vacationers (Male and Female) = 25% of 200 = 50M

We are given that 46% of the total workforce is female. => 100% - 46% = 54% is male

We are given that 20% of male (54%) took 1-week of vacation, thus # of males taking 1-week of vacation = (20% of 54%) of 200M = 10.8% of 200M = 28.4M

OA: E

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by vinni.k » Sat Mar 11, 2017 5:32 am
Jay@ManhattanReview wrote:
From the chart, we know that 25% of the total workers (Male and Female) take 1-week of vacation.

=> Total # of 1-week vacationers (Male and Female) = 25% of 200 = 50M

We are given that 46% of the total workforce is female. => 100% - 46% = 54% is male

We are given that 20% of male (54%) took 1-week of vacation, thus # of males taking 1-week of vacation = (20% of 54%) of 200M = 10.8% of 200M = 28.4M

OA: E

-Jay
Why can't we calculate the following way:-

We know 25% took 1 week vacation.
Out of 25%, 20% of male workers took 1 week which is = 21.6 million

Now, out of the remaining 25%, 5% is for female workers. So, 5% of 92 = 4.6 million.

Thus, A.
Can you please tell me what is wrong with this approach.
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by [email protected] » Sat Mar 11, 2017 10:49 am
Hi vinni.k,

To properly answer this question, you have to make sure that you're using the proper terms. The "25%" who take 1 week of vacation is 25% of the TOTAL workers (but we do NOT know how many of that 25% are male or female).

Since 20% of MALE WORKERS took 1 week of vacation, you CAN calculate that number. It's....

(200 million)(.54)(.20) = 21.6 million

However, we are NOT given any information on the percent of WOMEN who took 1 week of vacation, so we have to subtract the totals to get that number...

25% of 200 million = 50 million took 1 week of vacation
21.6 million MALES took 1 week of vacation
50 million - 21.6 million = 28.4 million FEMALES took 1 week of vacation.

Final Answer: E

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by vinni.k » Sun Mar 12, 2017 3:13 am
Thanks :D Got your point.

Regards
Vinni
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