Question

Tickets to a 3D movie cost $12.50 for adults and $8.50 for children. The theater can seat up to 180 people. A total of $1826 was collected in ticket sales for the sold out 7:15 PM show. Determine the number of adult tickets and the number of children’s tickets that were sold.

Answer 1

74 adult tickets and 106 children tickets

Explanation:

let x be the number of adults tickets sold out

and y the number of chlidrens tickets that sold out for the 7:15 pm show

The equations that determine our problem are

x+y=180

12.50x+8.50y=1826

lets separate x from first equation x=180-y and replace at the second equation

12.50(180-y)+8.50y=1826

12.50*180-12.50y+8.50y=1826

2250-4y=1826

4y=2250-1826

y=424/4=106

so x=180-y=180-106=74