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

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The total cost of an office dinner was shared equally by k [#permalink] New post 08 Jan 2010, 13:25
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83% (01:44) correct 18% (00:37) wrong based on 80 sessions
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
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Re: The total cost [#permalink] New post 08 Jan 2010, 16:02
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Expert's post
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.
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Re: marked d as an aswer butit is wrong... [#permalink] New post 11 Feb 2011, 02:59
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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:

Kmembers 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)

Answer C.

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 19to 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.

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Re: The total cost [#permalink] New post 23 Dec 2012, 05:13
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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! :-D


"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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: The total cost [#permalink] New post 22 Dec 2012, 13:56
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! :-D
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Re: The total cost [#permalink] New post 23 Dec 2012, 06:29
"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 :-D
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Re: The total cost of an office dinner was shared equally by k [#permalink] New post 14 May 2014, 20:15
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Re: The total cost of an office dinner was shared equally by k   [#permalink] 14 May 2014, 20:15
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