There are 300 seats in the theater.
Step-by-step explanation:
Given,
Cost of one VIP ticket = $20
Cost of one regular ticket = $8
Worth of sold out tickets = $3600
Let,
x represent the number of VIP tickets sold
y represent the number of regular tickets sold
20x+8y=3600 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 36
Putting x=100 in Eqn 2
Total = x+y = 100+200 = 300
There are 300 seats in the theater.
Keywords: linear equation, substitution method
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