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

It is currently 19 Oct 2019, 13:06

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

In a certain store, the ratio of part-time workers to full-time worker

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
V
Joined: 02 Jan 2017
Posts: 293
Location: Canada
Reviews Badge
In a certain store, the ratio of part-time workers to full-time worker  [#permalink]

Show Tags

New post 14 Mar 2017, 03:27
3
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:51) correct 19% (01:57) wrong based on 63 sessions

HideShow timer Statistics

In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?

(A) 11

(B) 12

(C) 21

(D) 28

(E) 35
Intern
Intern
avatar
B
Joined: 09 Jan 2017
Posts: 22
Location: Germany
Concentration: International Business, General Management
GPA: 3.7
Re: In a certain store, the ratio of part-time workers to full-time worker  [#permalink]

Show Tags

New post 14 Mar 2017, 08:50
My Approach
2x+5x=7x

\(\frac{2}{5}\)

+4 part time => \(\frac{3}{5}\)

1x=4

(2*4) + (5*4) = 28
_________________
Kudos for correct answers or good questions!
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15281
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: In a certain store, the ratio of part-time workers to full-time worker  [#permalink]

Show Tags

New post 28 Nov 2017, 13:36
Hi All,

We're told that the ratio of part-time workers to full-time workers is 2 to 5. This means that:

1) The number part-time workers MUST be a multiple of 2
2) The number of full-time workers MUST be a multiple of 5
3) The total number of workers must be a multiple of 7

We're also told that IF 4 part-time workers were hired, then the ratio of part-time workers to full-time workers would be 3 to 5. We're asked for the TOTAL number of workers there are NOW (meaning before 4 part-time workers are hired).

This question can be solved in a number of different ways. Since the total number of workers is a multiple of 7 - and the answers are numbers - we can TEST THE ANSWERS. To start, we can eliminate Answers A and B (since they're NOT multiples of 7).

Let's TEST Answer D: 28 total workers

IF.... there are 28 total workers
8 are part-time and 20 are full-time
Adding 4 more part-time workers would give us....
12 part-time and 20 full-time
12:20 = 3:5
This is an exact match for what we were told, so this MUST be the answer!

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3558
In a certain store, the ratio of part-time workers to full-time worker  [#permalink]

Show Tags

New post 28 Nov 2017, 14:05
vikasp99 wrote:
In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?

(A) 11

(B) 12

(C) 21

(D) 28

(E) 35

Another approach: set up the original ratio with x, add the number given, set it equal to the new ratio, and multiplier x gives you the original actual numbers.

The ratio of part-time workers to full-time workers is 2 to 5

\(\frac{Part-time}{Full-time}=\frac{2x}{5x}\)

If 4 part-time workers were hired, then the ratio would be 3 to 5:

\(\frac{2x + 4}{5x}=\frac{3}{5}\)

\(5(2x + 4) = 3(5x)\)
\(10x + 20 = 15x\)
\(20 = 5x\)
\(x = 4\)


x is the multiplier for the original ratio

How many workers (TOTAL)?
Part-time = 2x = (2)(4) = 8
Full-time = 5x = (5)(4)= 20

20 + 8 = 28

Answer D
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.


Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13275
Re: In a certain store, the ratio of part-time workers to full-time worker  [#permalink]

Show Tags

New post 06 Feb 2019, 19:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: In a certain store, the ratio of part-time workers to full-time worker   [#permalink] 06 Feb 2019, 19:09
Display posts from previous: Sort by

In a certain store, the ratio of part-time workers to full-time worker

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





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