sandy wrote:
If 2/3 of the number of women attending a certain dance is equal to 1/2 of the number of men attending, what fraction of those attending are women?
A. 2/5
B. 3/7
C. 5/7
D. 3/4
E. 5/6
Let w = # of women
Let m = # of men
2/3 of the number of women attending a certain dance is equal to 1/2 of the number of men attendingWe can write: (2/3)w = (1/2)m
Rewrite as: 2w/3 = m/2
Cross multiply to get: 4w = 3m
Divide both sides of the equation by m to get: 4w/m = 3
Divide both sides of the equation by 4 to get: w/m = 3/4
This tells us that
the ratio of women to men is 3 to 4.
In other words, for every 7 attendees, 3 are women and 4 are men.
In other words, 3/7 of the attendees are women.
Answer: B
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Brent Hanneson - founder of Greenlight Test Prep