A school held a kiddie carnival to raise money for the PTA. Admission for adults was 8 dollars, and admission for children was 5 dollars. In the end, 87 people attended the carnival, and they raised 468 dollars. How many adults attended the carnival?
a = adults
c = children = 87 - a
$8 a + $5 (87-a) = 468
3a = 33
a = 11 c = 87-a = 76