Answer:
A total of 160 adult plates and 90 children's plates were sold.
Explanation:
Given that the Buck Creek Fire Department served 250 dinners, and that a child's plate costs $ 5.50 while an adult's plate costs $ 9.00, having collected a total of $ 1935, to determine how many dishes of each type were served, the following calculation must be performed:
9 - 5.5 = 3.5
250 x 5.5 = 1,375
1,935 - 1,375 = 560
560 / 3.5 = 160
160 x 9 = 1,440
90 x 5.5 = 495
1,440 + 495 = X
1,935 = X
Thus, a total of 160 adult plates and 90 children's plates were sold.