Word prob

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Word prob

by beater » Mon Sep 29, 2008 6:40 am
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.

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Re: Word prob

by Morgoth » Mon Sep 29, 2008 8:08 am
beater 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.
Statement (1)
total cost of dinner = k*19. Insufficient, we dont know anything about the n or anything else.

Statement (2)
total cost / (k+1) = 18
total cost = 18*(k+1). Insufficient. same reasoning as statement (1)

Combining (1) & (2)

19*k = (k+1)*18
19k - 18k = 18
k=18

total cost = 18*19. Sufficient.

Thus, C.

OA?

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by 4meonly » Mon Sep 29, 2008 8:40 am
same logic, same answer

C

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by beater » Tue Sep 30, 2008 8:43 am
OA - C Thanks!