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

Expert replies
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: — Problem Solving |

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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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

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