Use a system of equations to solve the following problem.

The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $60, balcony tickets are $42, and mezzanine tickets are $40. One particular night, sales totaled $107,588. There were 152 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 432 more than 3
times the number of mezzanine tickets sold. How many of each type of ticket were sold?