In a group of 100 adults, 75 percent of the women are left-

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Mon Jul 01, 2019 11:54 pm

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In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

A. 48
B. 52
C. 54
D. 60
E. 62

OA B

Source: Magoosh

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Source: Beat The GMAT — Problem Solving | Mon Jul 01, 2019 11:54 pm

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

by Ian Stewart » Tue Jul 02, 2019 5:17 am

The question is unanswerable if some people could be ambidextrous.

Assuming everyone is either left or right-handed, we know that among women, the ratio of left to right-handed people is 3 to 1. So if 12 women are right-handed, 36 are left-handed, and there are 48 women in total. There are thus 52 men.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8157; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Sat Jul 06, 2019 4:53 pm

BTGmoderatorDC wrote:In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

A. 48
B. 52
C. 54
D. 60
E. 62

OA B

Source: Magoosh

Since 75% of the women are left-handed, the 12 right-handed women constitute 25% of the women. Letting w = the total number of women, we can create the equation:

0.25w = 12

w = 48, so the number of men is 52.

Answer: B

Scott Woodbury-Stewart
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[email protected]

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