The chart above shows the number of weeks of vacation taken

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

-Jay

_________________
Manhattan Review GMAT Prep

Locations: New York | Tokyo | Manchester | Geneva | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

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