Asked by jordan

. 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.
Answered by Reiny
adult tickets sold --- x
student tickets sold --- 540-x

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

or

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