It is currently 31 Oct 2020, 10:35
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.

3x + 6y = 27.... x + 2y + z = 11

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2977 [0], given: 394

3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 23 Jun 2018, 12:26
Expert's post
00:00

Question Stats:

59% (00:45) correct 40% (01:54) wrong based on 62 sessions
3x + 6y = 27
x + 2y + z = 11

Quantity A
Quantity B
z + 5
x + 2y – 2


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
VP
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1332 [1] , given: 251

Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 26 Jun 2018, 07:56
1
This post received
KUDOS
sandy wrote:
3x + 6y = 27
x + 2y + z = 11

Quantity A
Quantity B
z + 5
x + 2y – 2


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



From 1st equation we have

3x + 6y = 27

or x + 2y = 9 (dividing by 3)

From equation 2, we have

x + 2y + z = 11

or z = 2 (since we got x + 2y = 9; from equation 1)

Now statement 1; putting the value of z

Z + 5 = 2 + 5 =7

Now statement 1; putting the value of x + 2y

x + 2y - 2 = 9 - 2 = 7

Hence Statement 1 = Statement 2 i.e. option C
_________________

If you found this post useful, please let me know by pressing the Kudos Button


Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

1 KUDOS received
Intern
Intern
User avatar
Joined: 04 May 2017
Posts: 36
Followers: 0

Kudos [?]: 29 [1] , given: 6

Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 27 Jun 2018, 16:59
1
This post received
KUDOS
3x+6y=27 -> x+2y=9 -> z=11-(x+2y)=2 -> z+5=x+2y-2 -> C
_________________

Do not pray for an easy life, pray for the strength to endure a difficult one - Bruce Lee

Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2977 [0], given: 394

Re: 3x + 6y = 27.... x + 2y + z = 11 [#permalink] New post 18 Jul 2018, 07:11
Expert's post
Explanation

This question may at first look difficult, as there are three variables and only two equations.

However, notice that the top equation can be divided by 3, yielding x + 2y = 9. This can be plugged into the second equation:

(x + 2y) + z = 11

(9) + z = 11

z = 2

Quantity A is thus 2 + 5 = 7. For Quantity B, remember that x + 2y = 9. Thus, Quantity B is 9 – 2 = 7.

The two quantities are equal.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: 3x + 6y = 27.... x + 2y + z = 11   [#permalink] 18 Jul 2018, 07:11
Display posts from previous: Sort by

3x + 6y = 27.... x + 2y + z = 11

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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®.