Tickets are available at the Paramount Theater for three levels in the performance hall. Lower level tickets cost $35, mezzanine tickets cost $25, and upper balcony tickets cost $15. Let x represent the number of lower level tickets, y represent the number of mezzanine tickets, and z represent the number of upper balcony tickets. Use the information below to formulate a system of linear equations that could be used to determine the
number of each type of tickets sold.
The theater sold $37,500 in tickets for a certain performance.
For that performance, the theater sold 5 times as many lower level tickets as balcony tickets.
The money made from mezzanine tickets alone was 4 times the money made from balcony tickets.