Amovie 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

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.

the answer is c 150

step-by-step explanation: