The total cost of an office dinner was shared equally by k o : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 17:04

### 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

# The total cost of an office dinner was shared equally by k o

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7100

Kudos [?]: 93577 [0], given: 10578

The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

31 Dec 2013, 06:20
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

76% (02:09) correct 24% (01:19) wrong based on 344 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid$18.

Data Sufficiency
Question: 13
Category: Algebra Simultaneous equations
Page: 154
Difficulty: 650

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36618
Followers: 7100

Kudos [?]: 93577 [1] , given: 10578

Re: The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

31 Dec 2013, 06:20
1
KUDOS
Expert's post
SOLUTION

The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19 --> the total cost of the dinner was 19k. Not sufficient. (2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid$18 --> the total cost of the dinner was 18(k+1). Not sufficient.

(1)+(2) We can solve the two equations we have to get k and then get the value of 19k. Sufficient.

_________________
Intern
Joined: 03 Dec 2013
Posts: 16
Location: Uzbekistan
Concentration: Finance, Entrepreneurship
GMAT 1: 620 Q42 V33
GRE 1: 600 Q790 V400
GPA: 3.4
WE: Analyst (Commercial Banking)
Followers: 0

Kudos [?]: 13 [0], given: 57

Re: The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

01 Jan 2014, 21:22

(1) is obviously sufficient.

(2) is also sufficient because (k+1)18=19k. From this euality we can find k wich can lead us the solution of the problem.
Director
Joined: 25 Apr 2012
Posts: 728
Location: India
GPA: 3.21
Followers: 43

Kudos [?]: 699 [0], given: 723

Re: The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

01 Jan 2014, 23:41
The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid$18.

Sol: Since the cost was shared equally by K employees. Let the contribution of each of the K employees be x then Total Cost of the dinner = K*x

From St 1 we have that x=19 so Total cost =19K (Not sufficient)
From st 2 we have (K+1)*18= Total cost of Dinner (Not Sufficient)

Combining we get that St 1 = St2 ie. Total Dinner cost is same. So

(2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid $18. Total cost of the dinner: k(cost paid by each employee) Statement I is insufficient It just tells about the cost paid by each employee however we need the total cost of the dinner means the value of k as well. Statement II is insufficient Total cost of dinner = 18(k+1) Again value of k is unknown Combining is sufficient Total cost = 19k = 18(k+1) 18k + k = 18k + 18 k = 18 Hence answer is C _________________ 76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views Perfect Scores http://perfectscores.org http://www.youtube.com/perfectscores Math Expert Joined: 02 Sep 2009 Posts: 36618 Followers: 7100 Kudos [?]: 93577 [0], given: 10578 Re: The total cost of an office dinner was shared equally by k o [#permalink] ### Show Tags 05 Jan 2014, 10:47 SOLUTION The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner? (1) Each of the k employees who shared the cost of the dinner paid$19 --> the total cost of the dinner was 19k. Not sufficient.

(2) If the total cost of the dinner had been shared equally by k +1 of the n employees who attended the dinner, each of the k +1 employees would have paid \$18 --> the total cost of the dinner was 18(k+1). Not sufficient.

(1)+(2) We can solve the two equations we have to get k and then get the value of 19k. Sufficient.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13526
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

24 Feb 2015, 02:50
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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13526
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: The total cost of an office dinner was shared equally by k o [#permalink]

### Show Tags

17 Aug 2016, 22:09
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.
_________________
Re: The total cost of an office dinner was shared equally by k o   [#permalink] 17 Aug 2016, 22:09
Similar topics Replies Last post
Similar
Topics:
15 If the total price of n equally priced shares of a certain s 12 21 Jan 2014, 03:15
6 If the total price of n equally priced shares of a certain 4 22 Jan 2013, 04:36
29 The total cost of producing item X is equal to the sum of 33 18 Jul 2010, 19:54
8 The total cost of an office dinner was shared equally by k 8 08 Jan 2010, 13:25
2 The total cost of producing item Y is equal to the sum of 7 08 Dec 2007, 11:12
Display posts from previous: Sort by