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# Each of the 576 houses in Tenantville is owned by one of the following

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
Each of the 576 houses in Tenantville is owned by one of the following  [#permalink]

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12 Jul 2018, 23:14
00:00

Difficulty:

25% (medium)

Question Stats:

87% (02:38) correct 13% (03:35) wrong based on 23 sessions

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Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan. Matt and Angela together own twice as many houses as Gavin and Susan own. If Gavin owns 100 more houses than Susan owns, and Matt owns 100 more houses than Angela owns, how many houses does Susan own?

A) 46

B) 142

C) 146

D) 192

E) 242

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Manager
Joined: 14 Jun 2018
Posts: 220
Re: Each of the 576 houses in Tenantville is owned by one of the following  [#permalink]

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12 Jul 2018, 23:26
M+A = 2[G+S]
= M+A = 2[S+100 + S]
= M+ A = 4S + 200

4S + 200 + S + 100 + S = 576
S= 46
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1468
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
Re: Each of the 576 houses in Tenantville is owned by one of the following  [#permalink]

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12 Jul 2018, 23:30
Matt + Angela + Gavin + Susan = 576

Matt + Angela = 2(Gavin + Susan)

=> 2(Gavin + Susan) + Gavin + Susan = 576

=> 3(Gavin + Susan) = 576

=> Gavin + Susan = 192

=> (Susan + 100) + Susan = 192

=> 2 * Susan = 192 - 100 = 92

=> Susan = 46

Hence Option A
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Re: Each of the 576 houses in Tenantville is owned by one of the following &nbs [#permalink] 12 Jul 2018, 23:30
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