Question

A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regular admission tickets cost $8 per person. If the number of regular admission tickets sold was twice the number of VIP tickets sold, what was the total number of seats in the theater?

Select one:
A. 225
B. 175
C. 150
D. 300

Answer 1

D) Total number of seats in the theater is 300.

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.