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

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Manager
Joined: 22 Jul 2009
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Location: Manchester UK
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The total cost of an office dinner was shared equally by k [#permalink]

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08 Jan 2010, 14:25
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Question Stats:

78% (01:47) correct 22% (00:46) wrong based on 180 sessions

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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. (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.
[Reveal] Spoiler: OA
Manager
Joined: 30 Aug 2010
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Location: Bangalore, India
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Re: marked d as an aswer butit is wrong... [#permalink]

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11 Feb 2011, 03:59
3
KUDOS
alltimeacheiver wrote:
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

stmnt1:

$$K$$members each paid $$19$$
==> total cost is $$19K$$
but the total cost can not be found as we do not know how many ($$K$$) members paid that amount.
NOT SUFF.

stmnt2:

$$K+1$$ members paid $$18$$ each
==> total cost is $$18(K+1)$$
but the total cost can not be found as we do not know how many ($$k+1$$) members paid that amount.
NOT SUFF.

1&2 together

it is implied that the amount paid by $$K$$ members, each paying $$19$$, is equilent to that paid by $$K+1$$ members, each paying $$18$$

==> $$19K$$ = $$18(K+1)$$

==> $$K=18$$
==> the toal cost of the dinner is $$19K$$ = $$18(K+1)$$ = $$18*19$$= $$342$$ (costly dinner, i would never go to that restaurant)

Now in the $$GMAT$$ way (with out using variables such as x).

the total cost is paid by K members each paying $19 and also given that the total cost could have been paid by K+1 members if each had payed$18

Means

if we added one person into the payees list, the cost for each person would be REDUCED by $$1$$ (from $$19$$to $$18$$) making the new person to pay $$18$$. this implies that the new person has bared $$18$$ of the total cost and made each of the original list of ppl to pay $$1$$ less. implies, The # of original ppl shud be $$18$$ so that the new person can pay $18 baring $$1$$ from each of the original list of people (original payees). means the orginal people were $$18$$ and paid $$19$$ each OR with an additional person , the total # of people is $$19$$ each paying $$18$$ ==> the total cost = $$18*19$$ OR $$19*18$$ TRY solving the GMAT questions in the second way. Most of the word problems can be. It is called "THINK without INK". Hope it helps. Regards, Murali. Kudos? Math Expert Joined: 02 Sep 2009 Posts: 37573 Followers: 7395 Kudos [?]: 99399 [2] , given: 11022 Re: The total cost [#permalink] ### Show Tags 08 Jan 2010, 17:02 2 This post received KUDOS Expert's post 2 This post was BOOKMARKED sagarsabnis wrote: 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. [Reveal] Spoiler: C Cost (C)=? (1) 19k=C, insufficient; (2) 18(k+1)=C, insufficient; (1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient. Answer: C. _________________ Math Expert Joined: 02 Sep 2009 Posts: 37573 Followers: 7395 Kudos [?]: 99399 [1] , given: 11022 Re: The total cost [#permalink] ### Show Tags 23 Dec 2012, 06:13 1 This post received KUDOS Expert's post GMATCan wrote: Bunuel wrote: sagarsabnis wrote: 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. [Reveal] Spoiler: C Cost (C)=? (1) 19k=C, insufficient; (2) 18(k+1)=C, insufficient; (1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient. Answer: C. Hi! Thanks for the explanation! Please help me with this phrase: "k of the n employees" I cannot understand what for is "n" near employees? THANKS! "The total cost of an office dinner was shared equally by k of the n employees who attended the dinner" means that there were total of n employees and k employees out of n shared equally the cost of the dinner. _________________ Intern Joined: 09 Dec 2012 Posts: 3 Followers: 0 Kudos [?]: 0 [0], given: 16 Re: The total cost [#permalink] ### Show Tags 22 Dec 2012, 14:56 Bunuel wrote: sagarsabnis wrote: 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. [Reveal] Spoiler: C Cost (C)=? (1) 19k=C, insufficient; (2) 18(k+1)=C, insufficient; (1)+(2) 19k=C=18(k+1) --> 19k=18(k+1) --> k=18 --> C=19k=19*18. Sufficient. Answer: C. Hi! Thanks for the explanation! Please help me with this phrase: "k of the n employees" I cannot understand what for is "n" near employees? THANKS! Intern Joined: 09 Dec 2012 Posts: 3 Followers: 0 Kudos [?]: 0 [0], given: 16 Re: The total cost [#permalink] ### Show Tags 23 Dec 2012, 07:29 "The total cost of an office dinner was shared equally by k of the n employees who attended the dinner" means that there were total of n employees and k employees out of n shared equally the cost of the dinner. THANKS for the clear explanation!!!!!!!!!!!!!!!!! +1 KUDOS GMAT Club Legend Joined: 09 Sep 2013 Posts: 14396 Followers: 604 Kudos [?]: 174 [0], given: 0 Re: The total cost of an office dinner was shared equally by k [#permalink] ### Show Tags 14 May 2014, 21:15 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: 14396 Followers: 604 Kudos [?]: 174 [0], given: 0 Re: The total cost of an office dinner was shared equally by k [#permalink] ### Show Tags 07 Jul 2015, 00:13 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. _________________ SVP Joined: 08 Jul 2010 Posts: 1540 Location: India GMAT: INSIGHT WE: Education (Education) Followers: 80 Kudos [?]: 1591 [0], given: 44 Re: The total cost of an office dinner was shared equally by k [#permalink] ### Show Tags 07 Jul 2015, 14:59 sagarsabnis wrote: 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. Question : Total Cost of Dinner = No. of Contributor*Contribution amount of each person = ? Statement 1: Each of the k employees who shared the cost of the dinner paid$19.

i.e. Total Cost of Dinner = 19*k
Since k is unknown hence
NOT SUFFICIENT

Statement 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. i.e. Total Cost of Dinner = 18*(k+1) Since k is unknown hence NOT SUFFICIENT Combining the two statements i.e. Total Cost of Dinner = 18*(k+1) = 19*k i.e. k =18 i.e. Total Cost = 19*18 =$342
SUFFICIENT

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

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27 Feb 2017, 18:07
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   [#permalink] 27 Feb 2017, 18:07
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