Question

You've been working the box office at a movie theater for a year now and are anxious for a promotion. Your supervisor asks you to find out how many adults and how many children attended the recent screening of “Amazing Algebra 2.” The total number of adult and child tickets sold was 150. Each adult ticket costs 9 dollars and one child ticket costs 6 dollars. The movie theater made $1,155.

Answer 1

we have to make two equations: 1 for the number of tickets and 1 for the cost

if we let a = number of adult tickets and c = number of child tickets, then their sum must be 150 since 150 tickets were sold

for the second equation, note that total revenue can be made by finding (number of adult tickets)(adult price) + (number of child tickets)(child price) = total revenue

try creating the two equations, then solving via substitution/elimination/graphing