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Answer:
<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>
Step-by-step explanation:
Let number of orchestra seats = x
Let number of main seats = y
Let number of balcony seats = z
As per given statement, total seats are 800
Sales price of each orchestra seat = $40
Sales price of each main seat = $30
Sales price of each balcony seat = $20
If all the seats are sold, total revenue is $23200.
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.
Here, we have 3 variables and 3 equations. Let us solve them.
Subtracting Equation (3) from equation (2):
Putting value of x in equations (1) and (2):
Equation (1)
Equation (2)
Equation (5) - 2 Equation(4):
Putting value of y in equation (4):
Hence, answer is:
<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>