It is currently 12 Nov 2018, 19:00
My Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Each of the 576 houses in Tenantville is owned by one of th

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4864
Followers: 74

Kudos [?]: 965 [0], given: 4466

CAT Tests
Each of the 576 houses in Tenantville is owned by one of th [#permalink] New post 06 Jun 2017, 06:36
Expert's post
00:00

Question Stats:

85% (05:38) correct 14% (02:57) wrong based on 7 sessions


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
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1169
Followers: 43

Kudos [?]: 1039 [1] , given: 6

CAT Tests
Re: Each of the 576 houses in Tenantville is owned by one of th [#permalink] New post 06 Jun 2017, 15:26
1
This post received
KUDOS
Expert's post
Carcass wrote:


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


Since we're trying to determine the number of houses Susan owns, let's focus on her info first.

Gavin owns 100 more houses than Susan owns
Let x = number of houses Susan owns
So, x+100 = number of houses Gavin owns

Matt and Angela together own twice as many houses as Gavin and Susan own
So, combined houses of Matt and Angela = 2(combined houses of Gavin and Susan)
We get: combined houses of Matt and Angela = 2(x + x+100)
Simplify: combined houses of Matt and Angela = 2(2x + 100)
Simplify: combined houses of Matt and Angela = 4x + 200

Each of the 576 houses in Tenantville is owned by one of the following landlords: Matt, Gavin, Angela, or Susan
So, (# of Matt's houses) + (# of Angela's houses) + (# of Gavin's houses) + (# of Susan's houses) = 576
We can combine the first two values to get: (combined houses of Matt and Angela) + (# of Gavin's houses) + (# of Susan's houses) = 576
Substitute to get: 4x + 200 + x+100 + x = 576
Simplify: 6x + 300 = 576
Solve to get: x = 46

Answer:
[Reveal] Spoiler:
A


Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
Image
Sign up for our free GRE Question of the Day emails

Re: Each of the 576 houses in Tenantville is owned by one of th   [#permalink] 06 Jun 2017, 15:26
Display posts from previous: Sort by

Each of the 576 houses in Tenantville is owned by one of th

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.