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

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

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31 Dec 2013, 07:20
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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

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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.

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

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01 Jan 2014, 22:22
The correct answer is D!

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

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02 Jan 2014, 00:41
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: 38921 Followers: 7744 Kudos [?]: 106364 [0], given: 11622 Re: The total cost of an office dinner was shared equally by k o [#permalink] ### Show Tags 05 Jan 2014, 11:47 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.

Answer: C.
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24 Feb 2015, 03:50
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Re: The total cost of an office dinner was shared equally by k o [#permalink]

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17 Aug 2016, 23:09
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).

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Re: The total cost of an office dinner was shared equally by k o   [#permalink] 17 Aug 2016, 23:09
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# The total cost of an office dinner was shared equally by k o

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