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.
The chart above shows the number of weeks of vacation taken
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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
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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From the chart, we know that 25% of the total workers (Male and Female) take 1-week of vacation.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.
=> 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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- vinni.k
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Why can't we calculate the following way:-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
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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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
GMAT assassins aren't born, they're made,
Rich
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
GMAT assassins aren't born, they're made,
Rich