A local theatre sells out for their show. They sell all 500 tickets for a total purse of $8,040.00. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?
+37146 c = children tix value = 12c
a = adult tix = 3c value = 18(3c) = 54c
s = student tix = 500-c-3c = 500-4c value = 15 (500-4c) summed = 8040
12c + 54c + 15 (500-4c) = 8040 solve for c
then a = 3c and s = 500- 4c
