NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 10:07 It is currently 24 Apr 2024, 10:07
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92902
Own Kudos [?]: 618773 [0]
Given Kudos: 81587
Send PM
CAT Tests Forum Quiz Mode
The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   27 Dec 2017, 03:31
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

78% (01:45) correct 22% (02:39) wrong based on 75 sessions
Hide Show 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
ShowHide Answer
Official Answer
E
User avatar
B
sumit411
Manager
Manager
Joined: 07 Oct 2017
Posts: 218
Own Kudos [?]: 213 [0]
Given Kudos: 3
Send PM
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   Updated on: 27 Dec 2017, 10:58
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

Originally posted by sumit411 on 27 Dec 2017, 04:16.
Last edited by sumit411 on 27 Dec 2017, 10:58, edited 1 time in total.
avatar
B
luffy_ueki
Intern
Intern
Joined: 23 Oct 2017
Posts: 46
Own Kudos [?]: 19 [0]
Given Kudos: 23
Send PM
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   27 Dec 2017, 04:50
# 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
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1906
Own Kudos [?]: 5581 [0]
Given Kudos: 236
WE:General Management (Education)
Send PM
GMAT ToolKit User
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   27 Dec 2017, 07:53
Expert Reply
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
User avatar
B
sumit411
Manager
Manager
Joined: 07 Oct 2017
Posts: 218
Own Kudos [?]: 213 [0]
Given Kudos: 3
Send PM
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   27 Dec 2017, 10:59
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
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink] New post   27 Dec 2017, 11:13
1
Bookmarks
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)
GMAT Club Bot
gmatclubot
Re: The ratio of female workers to male workers at a certain factory is 5 [#permalink]
27 Dec 2017, 11:13
Moderators:
Bunuel
Math Expert
92902 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions