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Adult tickets to
the fall play cost $8 and student tickets cost $4. The drama class
sold 20 more adult tickets than student tickets to the fall play. If the class
collected $880 from
ticket sales, how many adult tickets were sold?
The drama class sold
adult tickets.
The solution is?

Respuesta :

chiickennuggett
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

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