Question

The admission fee for an amusement park is $19 for adults and $9.50 for children. One weekend, 3806 people paid admission for the amusement park, and the park made $55,157. How many adults and how many children paid to go to the amusement park that weekend?

Answer 1

A + c = 3806....a = 3806 - c
19a + 9.5c = 55157

19(3806 - c) + 9.5c = 55157
72314 - 19c + 9.5c = 55157
-19c + 9.5c = 55157 - 72314
-9.5c = -17157
c = -17157/-9.5
c = 1806 <== # of children

and there were 2000 adults