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Populations and Representatives

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Retired Moderator
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Status: 2000 posts! I don't know whether I should feel great or sad about it! LOL
Joined: 04 Oct 2009
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Schools: Harvard, Stanford, Wharton, MIT & HKS (Government)
WE 1: Economic research
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Populations and Representatives [#permalink] New post 26 Aug 2010, 21:18
00:00
A
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D
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Difficulty:

  35% (medium)

Question Stats:

71% (01:58) correct 29% (01:10) wrong based on 82 sessions
Which way is better to solve this question? Using algebra or testing with some values or numbers? Why? I used numbers, but OG used algebra.

If P1 and P2 are the populations and R1 and R2 are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?
(1) P1 > P2
(2) R2 > R1
[Reveal] Spoiler: OA

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Manager
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Joined: 05 Oct 2011
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Re: Populations and Representatives [#permalink] New post 28 Nov 2011, 12:48
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Solving either way gives the solution reasonably quickly. However as the algebra in this problem seems straight forward, I prefer that.

Using (1) and (2)

we can line up the inequalities with signs pointing in same direction.

P1>P2
R2>R1
and multiply as P1R2 > P2R1

then cross multiply( or divide both sides with R1R2)

({P1/R1} )> ({P2/R2})
Sufficient
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Joined: 09 Nov 2011
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Re: Populations and Representatives [#permalink] New post 29 Nov 2011, 00:26
Can some one please explain the solution to this problem.
Re: Populations and Representatives   [#permalink] 29 Nov 2011, 00:26
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