The number of tickets sold by the drama class will be 140.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
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
Total number of the tickets will be = A + S = 60 + 80 = 140.
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