Answer:
Adult tickets = A (cost $8)
student tickets = S (cost $4)
8(80) + 4(60) = 880
Explanation:
Substitution.
Adult tickets = A (cost $8)
student tickets = S (cost $4)
The drama class sold 20 more adult tickets than student tickets:
A = S + 20 (equation 1)
The class collected $880 from tickets:
8A + 4S = 880 (equation 2)
How many adult tickets were sold?
A = S + 20
8A + 4S = 880
we substitute the first equation into the second:
8(S+20) + 4S = 880
8S + 160 + 4S = 880
12S = 720
S = 60
Next we find the adult tickets by substituting back:
A = S + 20
A = 60 + 20
A = 80
Check our answer by substituting our answers in equation 2:
8A + 4S = 880 (equation 2)
8(80) + 4(60) = 880
640 + 240 = 880
880 = 880
