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Populations and Representatives

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Retired Moderator
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Kudos [?]: 437 [0], given: 109

Populations and Representatives [#permalink]  26 Aug 2010, 21:18
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:58) correct 28% (01:07) wrong based on 90 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
Joined: 05 Oct 2011
Posts: 169
GMAT 1: 720 Q V
Followers: 9

Kudos [?]: 39 [2] , given: 60

Re: Populations and Representatives [#permalink]  28 Nov 2011, 12:48
2
KUDOS
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
Intern
Joined: 09 Nov 2011
Posts: 8
Followers: 0

Kudos [?]: 0 [0], given: 2

Re: Populations and Representatives [#permalink]  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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