It is currently 20 Feb 2018, 17:20

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Company X had a ratio of 4 full-time employees for every 3 part-time

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43831
Company X had a ratio of 4 full-time employees for every 3 part-time [#permalink]

### Show Tags

16 Jan 2018, 23:12
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

71% (00:55) correct 29% (00:56) wrong based on 38 sessions

### HideShow timer Statistics

Company X had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If that brought the current ratio down to 3:2, how many employees does the company now have?

A. 30
B. 40
C. 50
D. 60
E. 70
[Reveal] Spoiler: OA

_________________
BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 2057
Location: India
GPA: 3.12
Company X had a ratio of 4 full-time employees for every 3 part-time [#permalink]

### Show Tags

17 Jan 2018, 01:05
Bunuel wrote:
Company X had a ratio of 4 full-time employees for every 3 part-time employees until 2 part-time employees quit. If that brought the current ratio down to 3:2, how many employees does the company now have?

A. 30
B. 40
C. 50
D. 60
E. 70

The current ratio of the FT : PT = 4:3
where FT - number of full-time employees and PT - number of part-time employees

After two part-time employees leave, the ratio becomes 3:2

$$\frac{4x}{3x-2} = \frac{3}{2} => 8x=9x-6 => x=6$$

Therefore, the total employees that the company has(currently) is $$4x+3x-2 = 7x-2 = 7*6-2 = 40$$(Option B)
_________________

Stay hungry, Stay foolish

Intern
Joined: 24 Oct 2014
Posts: 16
Re: Company X had a ratio of 4 full-time employees for every 3 part-time [#permalink]

### Show Tags

17 Jan 2018, 05:04
4x/(3x-2) = 3/2
(...)
x=6

Total = 40.

Ans. = B
Re: Company X had a ratio of 4 full-time employees for every 3 part-time   [#permalink] 17 Jan 2018, 05:04
Display posts from previous: Sort by