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

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Manager
Joined: 03 Oct 2008
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The total cost of an office dinner was shared equally by k [#permalink]  06 Oct 2008, 13:17
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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient
Director
Joined: 12 Jul 2008
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Re: math [#permalink]  06 Oct 2008, 13:25
albany09 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.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

(1) Insufficient
Cost = 19k

(2) Insufficient
Cost = 18(k+1)

(1) and (2) Sufficient
19k = 18(k + 1)
19k = 18k + 18
k = 18

Cost = 19*18
Re: math   [#permalink] 06 Oct 2008, 13:25
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