The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $52
, balcony tickets are $36
, and mezzanine tickets are $33
. One particular night, sales totaled $75,220
. There were 209
more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 494
more than 2
times the number of mezzanine tickets sold. How many of each type of ticket were sold?