The chart above shows the number of weeks of vacation taken

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

The chart above shows the number of weeks of vacation taken

by BTGmoderatorLU » Tue Oct 08, 2019 3:09 am

Source: Veritas Prep

The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the workforce, 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

The OA is E

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Source: Beat The GMAT — Problem Solving | Tue Oct 08, 2019 3:09 am

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Tue Oct 08, 2019 9:10 pm

BTGmoderatorLU wrote:Source: Veritas Prep

The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the workforce, 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

The OA is E

Given that there are 200 million people in the workforce, of whom 46% are female. If 20% of male workers take 1 week of vacation, number of male vacationers = (100 - 46)% of 200 = 54% of 200 millions = 108 millions male

Number of vacationers who took 1-week leave = 25% of 200 M = 50 millions

Thus, the number of FEMALE vacationers who took 1-week leave = 50 M - 20% of 108 M = 28.4 M

The correct answer: E

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Oct 11, 2019 2:37 pm

BTGmoderatorLU wrote:Source: Veritas Prep

The chart above shows the number of weeks of vacation taken annually by those in the workforce. There are 200 million people in the workforce, 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

The OA is E

We see there are 200 x 0.25 = 50 million workers who take a 1-week vacation. Of these 50 million workers, 200 x 0.54 x 0.2 = 21.6 million are male; therefore, there are 50 - 21.6 = 28.4 million female workers who take a 1-week vacation.

Answer: E

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