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 $41, balcony tickets are $39, and mezzanine
tickets are $35. One particular night, sales totaled $58,638. There were 66 more main floor tickets sold than balcony and mezzanine tickets combined. The number of
balcony tickets sold is 158 more than 3 times the number of mezzanine tickets sold. How many of each type of ticket were sold?