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