Question

. A drama club was performed in an auditorium that has a capacity of 540. Students had to pay $7 a ticket and adults were charged $10. On opening night, the auditorium was full and they brought in $4764 in ticket sales. Write a system of equations to model this situation and solve it using elimination to find the number of students and the number of adults that attended on opening night.

Answer 1

adult tickets sold --- x
student tickets sold --- 540-x

solve:
10x + 7(540-x) = 4765

or

x+y = 540
10x + 7y = 4765