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

It is currently 17 Jun 2019, 08:00

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

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: 81
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, 17:33
3
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:51) correct 27% (01:45) wrong based on 289 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
B
Joined: 28 Jun 2016
Posts: 216
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, 18:47
1
3
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: 4499
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
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, 02:02
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
V
Joined: 12 Sep 2015
Posts: 3777
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, 06:55
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: 81
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, 08:57
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 24 Jul 2017, 00:20
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: 2894
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, 08:44
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
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.


Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6522
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, 16:39
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

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Intern
Intern
avatar
B
Joined: 03 Aug 2017
Posts: 30
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, 04:58
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
Manager
Manager
User avatar
B
Joined: 18 Jul 2015
Posts: 50
GMAT 1: 530 Q43 V20
WE: Analyst (Consumer Products)
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 28 Jan 2019, 01:34
What is to be found? - women/(men+women) [Assume as 1]
Given 3/4(women) = 2/3(men). Solving for the numerator of 1, we get women = 8/9(men) [Assume as 2]
Solving for the denominator of 1, we get 8/9(men)+men = 17/9(men) [Assume as 3]

Combining the results of 2 and 3, we get:
8/9(men) / 17/9(men) = 8/17 (Option B)

PS. We can also assume men as M and women as W for simplicity.
_________________
Press +1 if my explanation helps. Thanks!
GMAT Club Bot
Re: If 3/4 of the number of women working at Company X is equal to 2/3 of   [#permalink] 28 Jan 2019, 01:34
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  


cron

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