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

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Manager
Joined: 02 Apr 2006
Posts: 93

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(DS) what was the total cost of the dinner? [#permalink]

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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.

Kudos [?]: 55 [0], given: 0

VP
Joined: 08 Jun 2005
Posts: 1141

Kudos [?]: 257 [0], given: 0

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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

Kudos [?]: 257 [0], given: 0

Manager
Joined: 02 Aug 2007
Posts: 145

Kudos [?]: 51 [0], given: 0

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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

Kudos [?]: 51 [0], given: 0

Director
Joined: 03 May 2007
Posts: 867

Kudos [?]: 279 [0], given: 7

Schools: University of Chicago, Wharton School
Re: (DS) what was the total cost of the dinner? [#permalink]

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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.

Kudos [?]: 279 [0], given: 7

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

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