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

It is currently 18 Dec 2018, 23:36

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
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

If 3/4 of the number of women working at Company X is equal to 2/3 of

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

Hide Tags

Manager
Manager
avatar
Joined: 17 Nov 2013
Posts: 89
GMAT ToolKit User
If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 19 Nov 2016, 16:33
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

74% (01:53) correct 26% (01:37) wrong based on 225 sessions

HideShow timer Statistics

If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9
Manager
Manager
avatar
Joined: 28 Jun 2016
Posts: 207
Location: Canada
Concentration: Operations, Entrepreneurship
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 19 Nov 2016, 17:47
1
2
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9


3w/4 = 2m/3

w/m = 8/9

w:m:T = 8:9:17

w/T = 8/17

B


Sent from my iPhone using GMAT Club Forum mobile app
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4285
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 20 Nov 2016, 01:02
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9

\(\frac{3m}{4} = \frac{2w}{3} = 12\)

Or, \(\frac{m}{4} = 4\) and \(\frac{w}{3} = 6\)

So, \(m = 16\) and \(w = 18\)

Men : Women = 8 : 9

So, Fraction of Women in the firm is \(\frac{8}{17}\)

Hence, answer will be (B) \(\frac{8}{17}\)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3243
Location: Canada
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 20 Nov 2016, 05:55
2
Top Contributor
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9


Notice that the question does not ask us for the NUMBER of women; it asks us to determine the PROPORTION of women in the workforce.
In these instances, we can assign a certain value to the number of women, and then see what this implies about the number of men and then go from there.

Let say there are 12 women [12 is a nice value since it works with many of the values in the two given fractions]

3/4 of the number of women working at Company X is equal to 2/3 of the number of men
Let M = # of men
We can write: (3/4)(12) = (2/3)(M)
Simplify: 9 = (2/3)(M)
Multiply both sides by 3/2 to get: (3/2)(9) = M
Evaluate: 27/2 = M
Aside: Okay, so we get a fractional value for the number of men. No problem since we're supposed to answer the question....

What fraction of the employees at Company X are women?
Total number of employees = 12 + 27/2 = 24/2 + 27/2 = 51/2
So, the fraction of all employees who are women = 12/(51/2)
= 24/51 [multiplied top and bottom by 2]
= 8/17 [divided top and bottom by 3]
Answer:

RELATED VIDEOS



_________________

Test confidently with gmatprepnow.com
Image

Manager
Manager
avatar
Joined: 17 Nov 2013
Posts: 89
GMAT ToolKit User
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 20 Nov 2016, 07:57
thanks. The answer is B. The reason I uploaded this question is to find out whether smart numbers or algebraic approach get you the right answer faster. For me, I choose the algebraic approach for this type of question.
Intern
Intern
avatar
Joined: 02 Jul 2017
Posts: 2
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 23 Jul 2017, 23:20
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9

I approached it like this:

If W = total number of women employed in the Company X, and
if M = total number of men employed in the Company X, we are given

(3/4)W = (2/3)M
(or) in other words, 9W = 8M
(or) in other words, M = (9/8)W

Proportion of Women in the Total Employees of Company X = W / (W+M)

Substituting for M, we get

Proportion of Women = W / (W+9W/8) = W / (17W/8) = 8/17

Answer: B
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2223
Premium Member CAT Tests
If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 24 Jul 2017, 07:44
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9

\(\frac{3}{4}\)W = \(\frac{2}{3}\)M

W = \(\frac{4}{3}\)*\(\frac{2}{3}\)M

W = \(\frac{8}{9}\)M

\(\frac{W}{M}\) = \(\frac{8}{9}\), so W = 8, M = 9

What fraction of the employees are women?

\(\frac{W}{W + M}\) = \(\frac{8}{17}\)

Answer B
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4328
Location: United States (CA)
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 26 Jul 2017, 15:39
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9


We can let m = the number of men and w = the number of women. We need to determine the value of w/(w + m). We are given that:

(3/4)w = (2/3)m

w = (2/3)m x (4/3)

w = 8m/9

9w = 8m

We need to determine w/(w + m). Let’s multiply the numerator and the denominator by 8:

w/(w + m) = 8w/(8w + 8m) = 8w/(8w + 9w) = 8w/17w = 8/17

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 03 Aug 2017
Posts: 27
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of  [#permalink]

Show Tags

New post 23 Aug 2018, 03:58
lalania1 wrote:
If 3/4 of the number of women working at Company X is equal to 2/3 of the number of men, what fraction of the employees at Company X are women?

A) 5/12
B) 8/17
C) 1/2
D) 7/12
E) 8/9


This is how i solved

Assume the no of women to be 40
3/4 women = 3/4* 40 = 2/3* total men
3/4* 40 = 30 women
therfore 2/3* Total men = 30
Total men = 45
Total staff = 40+45
Fraction of women / staff
40/85 = 8/17 = B
GMAT Club Bot
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of &nbs [#permalink] 23 Aug 2018, 03:58
Display posts from previous: Sort by

If 3/4 of the number of women working at Company X is equal to 2/3 of

  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®.