Answer:
The Answer is: Adult Tickets: 604 ; Student Tickets: 502 ; Children Tickets: 251.
Step-by-step explanation:
8a + 6s + 5c = $9,099
Let s = students. Let adult = s + 102. Let children = s/2
Substitute and solve for s (Number of Student Tickets):
8(s + 102) + 6s + 5(s/2) = 9099
8s + 816 + 6s + 5s/2 = 9099
14s + 5s/2 = 9099 - 816
14s + 5s/2 = 8283
28s + 5s = 16566
33s = 16566
s = 502
, so there are 502 student tickets.
Add 102 to get the number of Adult tickets: 604.
Divide by 2 to get the number of children tickets: 251.
Proof:
8(502 + 102) + 6(502) + 5(251) =
8(604) + 6(502) + 5(251) =
$4,832 + $3,012 + $1,255 = $9,099
