Word prob

[beater]

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.

[Morgoth]

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?

[4meonly]

same logic, same answer

C

[beater]

OA - C Thanks!