Word problem

Question

A 1200 seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats so for 20 each. at one event $30,180 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answer 1

Hi Amber,

 

Let x = premium seats

 

let y = regular seats

 

x + y = 1190         (ten were not sold

 

30x + 20y = 30180    (amount collected

 

now multiply the first equation by 20 and subtract

 

20x + 20y = 23800

30x + 20y = 30180

 

-10x = -6380

 

x = 638

 

y = 1190 - 638 = 552

 

check it by multipying x and y by their price to see if you come up with the correct amount

 

Hope this helps