mgmat fdp weighted avg problem

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mgmat fdp weighted avg problem

by bblast » Tue Jul 19, 2011 12:23 am
Last year, all registered voters in Kumannia voted either for the Revolutionary Party or for
the Status Quo Party. This year, the number of Revolutionary voters increased 10%, while
the number of Status Quo voters increased 5%. No other votes were cast. If the number of
total voters increased 8%, what fraction of voters voted Revolutionary this year?

when i solve this by allegation or weighted average i get a clean solotion :

1.1x + 1.05y = 1.08(x+y)

x/y = 3/2.

hence answer x = 60%.

MGMAT has given a long soln and oa is 11/18 = [spoiler]61.1%[/spoiler]


I am sure I am missing something.
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by bblast » Tue Jul 19, 2011 12:29 am
i think i missed the last line as usual.

its asking for

1.1x/1.05y and not x/y.

so its 66/108 * 100 = 61.1 %

:shock:
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by GMATGuruNY » Tue Jul 19, 2011 2:14 am
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by bblast » Tue Jul 19, 2011 9:30 am
Great thread that one Mitch. Alligation is what I prefer on such problems. But I got stuck on a difficult weighted averages DS on GMAT prep-1 which could be better visualized via the equations. So wanna be equipped with both approaches(weighted average equation and alligations).
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