GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 10 Dec 2018, 11:54

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

A certain store sells only black shoes and brown shoes. In a certain

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Status: D-Day is on February 10th. and I am not stressed
Affiliations: American Management association, American Association of financial accountants
Joined: 12 Apr 2011
Posts: 179
Location: Kuwait
Schools: Columbia university
A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post Updated on: 24 Dec 2014, 03:24
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:26) correct 26% (01:45) wrong based on 227 sessions

HideShow timer Statistics

A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/3 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?

A. x/3
B. x/2
C. 2x/3
D. 3x/2
E. 2x

_________________

Sky is the limit


Originally posted by manalq8 on 25 Nov 2011, 13:55.
Last edited by Bunuel on 24 Dec 2014, 03:24, edited 1 time in total.
Renamed the topic and edited the question.
Manager
Manager
avatar
Joined: 29 Oct 2011
Posts: 154
Concentration: General Management, Technology
Schools: Sloan '16 (D)
GMAT 1: 760 Q49 V44
GPA: 3.76
Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 25 Nov 2011, 14:31
2
1
x/(x+y) = 2/3
3x = 2x+2y
x = 2y
y = x/2

B
Current Student
User avatar
Status: The Final Countdown
Joined: 07 Mar 2013
Posts: 283
Concentration: Technology, General Management
GMAT 1: 710 Q47 V41
GPA: 3.84
WE: Information Technology (Computer Software)
Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 24 Dec 2014, 03:20
4
Assume the store sold 30 shoes.

Black shoes=20 and Brown=10.
So brown shoes are half(1\2) of black shoes.
Ans B.
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 30 Dec 2014, 23:20
2
2
Total shoes sold = x+y

Given that \(\frac{2}{3} rd\) of total shoes sold are black

\(\frac{2}{3} (x+y) = x\)

\(y = \frac{x}{2}\)

Answer = B
_________________

Kindly press "+1 Kudos" to appreciate :)

Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 419
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 03 Jan 2015, 04:05
3
I also used the same approach as PareshGmat, but I would like to post a more detailed solution:

Let's say that x is the number of black shoes sold and y the number of brown shoes sold.
Then, x+y is the total number of shoes that were sold. [1]
2/3 of the total shoed sold (x+y) were black (x): this translates in 2/3 of x+y, which is 2/3*(x+y).

Then, [1] becomes:
x+y= 2/3(x+y) + y
x+y - 2/3(x+y) = y
x+y - (2x+2y)/3 = y
[3(x+y)-2x+2y]/3 = y
(3x+3y-2x+2y)/3= y
(x+y)/3=y
x+y = 3y
x= 2y
y=x/2 B
Manager
Manager
User avatar
S
Joined: 22 Nov 2016
Posts: 211
Location: United States
Concentration: Leadership, Strategy
GPA: 3.4
Reviews Badge
A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 02 Jul 2017, 14:00
1
Total number of shoes sold = x+y----------Given
Now,\(\frac{2}{3}\)of the total, i.e \(\frac{2}{3}*(x+y) = x\) (black shoes)-----------------Given

\(x+y = \frac{3}{2}x\)
\(y=\frac{3}{2}x - x\)
\(y=\frac{x}{2}\)
_________________

Kudosity killed the cat but your kudos can save it.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9096
Premium Member
Re: A certain store sells only black shoes and brown shoes. In a certain  [#permalink]

Show Tags

New post 17 Aug 2018, 02:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: A certain store sells only black shoes and brown shoes. In a certain &nbs [#permalink] 17 Aug 2018, 02:24
Display posts from previous: Sort by

A certain store sells only black shoes and brown shoes. In a certain

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.