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(DS) what was the total cost of the dinner?

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Manager
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(DS) what was the total cost of the dinner? [#permalink] New post 20 Oct 2007, 08:52
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Q. The total cost of an office dinner was shared equally by k of the n emoployees 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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 [#permalink] New post 20 Oct 2007, 09:18
My answer is (C)

statement 1

k*19 = cost of dinner

insufficient

statement 2

(k+1)*18 = cost of dinner

insufficient

both statements

k*19 = 18*(k+1)

k = 18

sufficient

:)
Manager
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 [#permalink] New post 20 Oct 2007, 09:21
This question has 3 variables k, n, and t (total cost), however only 2 are necessary.

1) INSUFF
This information provides us with 1 equation with 2 variables (k & t). We are given k, but do not have the total cost (t).

2) INSUFF
1 equation 2 variables. Still no information on the total cost (t).

Both:
C. SUFFICIENT

1) t / k = $19, then t = k($19)
2) t / (k+1) = $18, then k = (t-18)/18

Combine and solve for total cost t = $342
Director
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Re: (DS) what was the total cost of the dinner? [#permalink] New post 20 Oct 2007, 09:25
pretttyune wrote:
Q. The total cost of an office dinner was shared equally by k of the n emoployees 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.



1) Costs per dinner = $19
so total cost of the dinner = 19k. nsf

2) total cost of the dinner = 18 (k+1)

1 and 2: 19k = 18(k +1)
19k -18k = 18
k = 18
total costs of the dinner = 19x18 = $342.00

C.
Re: (DS) what was the total cost of the dinner?   [#permalink] 20 Oct 2007, 09:25
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