Find all School-related info fast with the new School-Specific MBA Forum

It is currently 05 May 2015, 22:33

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A factory has 500 workers, 15 percent of whom are women. If

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 178
Followers: 3

Kudos [?]: 742 [0], given: 0

A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 17 Dec 2012, 06:00
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (02:05) correct 14% (00:53) wrong based on 354 sessions
A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?

(A) 3
(B) 10
(C) 25
(D) 30
(E) 35
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 27228
Followers: 4231

Kudos [?]: 41109 [0], given: 5666

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 17 Dec 2012, 06:04
Expert's post
Walkabout wrote:
A factory has 500 workers, 15 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?

(A) 3
(B) 10
(C) 25
(D) 30
(E) 35


Currently the factory has 0.15*500=75 women.

After 50 additional workers are hired, there will be total of 550 workers and we need 0.2*550=110 of them to be women, so we need 110-75=35 more women.

Answer: E.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Current Student
User avatar
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 15

Kudos [?]: 187 [0], given: 73

GMAT ToolKit User
Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 03 Jul 2013, 09:08
We also can use mixture method

Say we add to 15% females of 550 ppl x % females of 50 ppl to get 20% females
So we have (x-20)/5=500/50
X=70%
70%of 50=35
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

Current Student
User avatar
Joined: 23 Oct 2010
Posts: 386
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Followers: 15

Kudos [?]: 187 [0], given: 73

GMAT ToolKit User
Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 03 Jul 2013, 09:22
Or

(75+x)/550=20%
X =35
_________________

Happy are those who dream dreams and are ready to pay the price to make them come true

Intern
Intern
avatar
Joined: 06 Jan 2013
Posts: 11
Location: United States
Concentration: Finance, Economics
GMAT Date: 11-15-2013
GPA: 3.5
WE: Education (Education)
Followers: 0

Kudos [?]: 7 [0], given: 24

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 22 Aug 2014, 19:24
I also solved this as a mixture problem (see image attached) where w denotes the number of new women hired.

Once I had the table set up I solved (75+w) / 550 = 0.20 => 75+w = 110 => w=35.

Therefore, 35 of the 50 workers hired need to be women.
Attachments

Mixture.png
Mixture.png [ 2.83 KiB | Viewed 1961 times ]

Intern
Intern
avatar
Joined: 22 Oct 2014
Posts: 15
Followers: 0

Kudos [?]: 6 [0], given: 71

A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 30 Oct 2014, 23:26
LalaB wrote:
We also can use mixture method

Say we add to 15% females of 550 ppl x % females of 50 ppl to get 20% females
So we have (x-20)/5=500/50
X=70%
70%of 50=35


Hello, could anyone please explain how we came into that equation from the first line?

I am clear up to this:
15% of 500 + x% of 50 = 20% of 550 [correction: 15% of 500, not 550]

* Then how can I come to the highlighted equation. Am I missing anything?

Last edited by appleid on 30 Oct 2014, 23:34, edited 1 time in total.
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 22

Kudos [?]: 877 [0], given: 193

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 04 Nov 2014, 00:12
appleid wrote:
LalaB wrote:
We also can use mixture method

Say we add to 15% females of 550 ppl x % females of 50 ppl to get 20% females
So we have (x-20)/5=500/50
X=70%
70%of 50=35


Hello, could anyone please explain how we came into that equation from the first line?

I am clear up to this:
15% of 500 + x% of 50 = 20% of 550 [correction: 15% of 500, not 550]

* Then how can I come to the highlighted equation. Am I missing anything?



Its called allegation method:

15% .................. x%

............. 20% ...............

(20-15)% .............. (x-20)%

\(\frac{x-20}{5} = \frac{500}{50}\)

x = 70%

\(\frac{70}{100} * 50 = 35\)

Answer = E
_________________

Kindly press "+1 Kudos" to appreciate :)

Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 346
Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Followers: 0

Kudos [?]: 44 [0], given: 105

Re: A factory has 500 workers, 15 percent of whom are women. If [#permalink] New post 19 Jan 2015, 01:14
Or, setting up an equation:

First, find how many women we have: 500*0.15 = 75 women now.
We need the number of women to be 20% of the total number of employees.

We will have 50 new employees, making the total # 500+50=550. We need to know how many of the additional workers need to be women in order for the women to be 0.20(550).

In other words: 75+x=0.20(550). This means how many women should we add to the 75 we already have so that the total # of women is 20% of the total # of workers (550).

Solving the equation we get:
75 + x = 0.20(550)
75 + x = 110
x = 110-75
x = 35 ANS E
Re: A factory has 500 workers, 15 percent of whom are women. If   [#permalink] 19 Jan 2015, 01:14
    Similar topics Author Replies Last post
Similar
Topics:
3 Experts publish their posts in the topic Mariah has decided to hire three workers. To determine whom gaurav245 2 14 Jun 2014, 10:48
1 Experts publish their posts in the topic A room contains 160 people, 15 percent of whom are women. A rsampson 2 09 May 2012, 19:06
1 Experts publish their posts in the topic A room contains 160 people, 15 percent of whom are women. A bmwhype2 8 19 May 2007, 21:55
1 A town T has 20,000 residents, 60 percent of whom are heman 8 31 Aug 2006, 20:42
In a group of 25 factory workers, 15 have brown eyes. Six of Riuscita 5 03 Apr 2006, 21:05
Display posts from previous: Sort by

A factory has 500 workers, 15 percent of whom are women. If

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.