8s + 11a = 3074
-(8s + 8a = 2480)
3a = 594
Divide both sides by 3 to solve for a:
a = 198
Now we can substitute this value of a into equation 1 to solve for s:
s + a = 310
s + 198 = 310
s = 112
Therefore, 112 student tickets and 198 adult tickets were sold.
To check our work, we can verify that the total revenue from ticket sales is $3,074:
8s + 11a = 8(112) + 11(198) = 896 + 2178 = 3074