ratios

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vladmire: Master | Next Rank: 500 Posts; Posts: 132; Joined: Tue Oct 07, 2008 4:59 pm; Thanked: 4 times

by vladmire » Sun Feb 22, 2009 5:11 pm

How is it that if the ratio of men to women is 2/5 that the total student body of men would be 2/7 and the for women total it would be 5/7.
How do I come up with the ratio as a total?

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Source: Beat The GMAT — Problem Solving | Sun Feb 22, 2009 5:11 pm

DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Sun Feb 22, 2009 10:54 pm

Say m = number of male students
w = number of women students
You get the ratio:
m/w = 2/5, making m = 2w/5.
The total number of students is m + w and you replace m with 2w/5, getting 2w/5 + w = total. This means that 7w/5 = t or that w = 5/7 * t. m will be 1 - 5/7 * t = 2/7 * t

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