Answer:
D) Total number of seats in the theater is 300.
Step-by-step explanation:
Total income of the movie theater = $3,600
The cost of VIP tickets = $20 per person
The cost of regular tickets = $8 per person
Let the number of VIP tickets sold = m
So, the total number of regular tickets sold = 2m
Now, Earnings from selling VIP tickets
= Number of VIP tickets sold x Cost of each VIP ticket
= m x $20 = 20 m
Also, Earnings from selling regular tickets
= Number of regular tickets sold x Cost of each regular ticket
= 2m x $8 = 16 m
Total Earnings = Earning from VIP tickets + Earning from Regular tickets
= 20 m + 16 m = 36 m
or, 36 m = $3,600
⇒ m = 3600/36 = 100
Hence, the number of VIP tickets sold = m = 100
and Regular tickets sold = 2 m = 2 x 100 = 200
Now, the total number of seats in the theater
= VIP tickets + Regular tickets
= 200 + 100 = 300.
Total number of seats in the theater is 300.