GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 23 Jan 2020, 00:18

### 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

# At a certain resort, each of the 39 food service employees

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 28 Dec 2010
Posts: 261
Location: India
At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

26 May 2012, 22:27
2
4
00:00

Difficulty:

55% (hard)

Question Stats:

66% (02:09) correct 34% (02:09) wrong based on 196 sessions

### HideShow timer Statistics

At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

A. 2
B. 3
C. 4
D. 5
E. 6
Math Expert
Joined: 02 Sep 2009
Posts: 60610
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

11 Jul 2012, 02:10
3
1
vibhav wrote:
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

A. 2
B. 3
C. 4
D. 5
E. 6

{Total} = {Buffet} + {Dinning room} + {Snack bar} - {Those who work in exactly 2 restaurants} - 2*{Those who work in exactly 3 restaurants} (explained here: formulae-for-3-overlapping-sets-69014.html#p729340);

39=19+18+12-4-2x --> x=3.

_________________
Senior Manager
Joined: 28 Dec 2010
Posts: 261
Location: India
Re: Kaplan free test PS - restraunt  [#permalink]

### Show Tags

26 May 2012, 22:28
2
have a look at this problem. See how quickly you can solve it. also post the time you took. Will post the OA soon.
VP
Joined: 02 Jul 2012
Posts: 1095
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

10 Jul 2012, 23:14
2
vibhav wrote:
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

A. 2
B. 3
C. 4
D. 5
E. 6

39 = 19 + 18 + 12 - 4 - 2x
2x = 19 + 18 + 12 - 4 - 39
= 45 - 39
= 6

x = 3

Less than a minute i guess
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1724
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

19 Jun 2014, 03:22
2
Solved using Venn Diagram. Please refer below:

39 = 19 + 12-(b+c+x) + c + 18-(a+c+x)

a+b+c + 2x = 49 - 39

2x = 6

x = 3

Attachments

ven.jpg [ 31.15 KiB | Viewed 5485 times ]

VP
Joined: 24 Nov 2016
Posts: 1094
Location: United States
At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

30 Apr 2017, 16:26
1
vibhav wrote:
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

A. 2
B. 3
C. 4
D. 5
E. 6

Equations:
a + b + c = 39 [total people working per restaurants]
a + 2b + 3c = 49 [total people working one or more restaurants]

Substitute "b" = 4:
a + c = 39 - 4 = 35
a + 3c = 49 - 8 = 41

Solve System "subtract to find c = people working in all 3 restaurants":
2c = 41 - 35 = 6
c = 3
Manager
Joined: 09 Nov 2012
Posts: 62
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

26 Sep 2013, 01:11
Bunuel wrote:
vibhav wrote:
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?

A. 2
B. 3
C. 4
D. 5
E. 6

{Total} = {Buffet} + {Dinning room} + {Snack bar} - {Those who work in exactly 2 restaurants} - 2*{Those who work in exactly 3 restaurants} (explained here: ;

39=19+18+12-4-2x --> x=3.

Thanks for the formula and link!
Manager
Joined: 25 Apr 2014
Posts: 92
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

17 Jun 2014, 16:38
Hi Bunuel,

I have a dbt regarding this formula.As in this question it is explicitly mentioned that "exactly" 19 employees are trained to work in the family buffet, While 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. So how can we add these 3 values as it is in the formula.I mean 18 and 12 would constitute of some commom values also while 19 wont.
Math Expert
Joined: 02 Sep 2009
Posts: 60610
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

17 Jun 2014, 16:40
maggie27 wrote:
Hi Bunuel,

I have a dbt regarding this formula.As in this question it is explicitly mentioned that "exactly" 19 employees are trained to work in the family buffet, While 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. So how can we add these 3 values as it is in the formula.I mean 18 and 12 would constitute of some commom values also while 19 wont.

Have you check this post?
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 14001
Re: At a certain resort, each of the 39 food service employees  [#permalink]

### Show Tags

30 Nov 2019, 01:50
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.
_________________
Re: At a certain resort, each of the 39 food service employees   [#permalink] 30 Nov 2019, 01:50
Display posts from previous: Sort by