It is currently 21 Jan 2018, 20:38

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

Events & Promotions in June
Open Detailed Calendar

The ratio of female workers to male workers at a certain factory is 5

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43347
The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 02:31
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

91% (01:00) correct 9% (01:11) wrong based on 23 sessions

HideShow timer Statistics

The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?

A. 4 : 9
B. 7 : 6
C. 5 : 9
D. 27 : 22
E. 26 : 21
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 07 Oct 2017
Posts: 43
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 03:16
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 52/42
= 26/21

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Last edited by sumit411 on 27 Dec 2017, 09:58, edited 1 time in total.
Manager
Manager
avatar
B
Joined: 23 Oct 2017
Posts: 63
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 03:50
# of female workers =f
#of male workers =m
f:m = 5:4 => f= 5x; m=4x
If 2 additional men and an equal number of women are hired the total number of employees becomes 94
=> m'=m+2; f'=f+2;
m+2 + f+2 = 94
9x + 4 =94 => x=10;

new ratio =f:m = 5x+2: 4x+2 =52:42 = 26:21
Manager
Manager
avatar
S
Joined: 27 Oct 2017
Posts: 89
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 06:53
Hi
you have correctly calculated the x, the proportionality factor for the ratio.
But there is an error in method of finding of new ratio.


New ratio = (5x+2)/(4x+2) = 52/42 = 26/21.


sumit411 wrote:
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 54/44
= 27/22

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

_________________

If you like my post, encourage me by providing Kudos...
Happy Learning...

Intern
Intern
avatar
B
Joined: 07 Oct 2017
Posts: 43
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 09:59
gmatbusters wrote:
Hi
you have correctly calculated the x, the proportionality factor for the ratio.
But there is an error in method of finding of new ratio.


New ratio = (5x+2)/(4x+2) = 52/42 = 26/21.


sumit411 wrote:
F/M=5x/4x

Given
5x+4x+4=94
x= 10

New ratio = 54/44
= 27/22

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Thanks for pointing it out.
Edited the post.

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3250
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]

Show Tags

New post 27 Dec 2017, 10:13
Bunuel wrote:
The ratio of female workers to male workers at a certain factory is 5 to 4. If 2 additional men and an equal number of women are hired the total number of employees becomes 94. What is the ratio of female to male employees after the hiring?

A. 4 : 9
B. 7 : 6
C. 5 : 9
D. 27 : 22
E. 26 : 21


\(\frac{Female}{Male} = \frac{5x}{4x}\)

So, \((5x + 2) + (4x + 2) = 94\)

Or, \(9x = 90\)

So, \(x = 10\)

Thus, ratio of males to females after hiring is \(\frac{52}{42} = \frac{26}{21}\), answer must be (E)
_________________

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 )

Re: The ratio of female workers to male workers at a certain factory is 5   [#permalink] 27 Dec 2017, 10:13
Display posts from previous: Sort by

The ratio of female workers to male workers at a certain factory is 5

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.