The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48, balcony tickets are $45, and mezzanine tickets are $36. One particular...

The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48, balcony tickets are $45, and mezzanine tickets are $36. One particular night, sales totaled $59,487. There were 209 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 442 more than 3 times the number of mezzanine tickets sold. How many of each type of ticket were sold?