The local theater has three types of seats for broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $51, balcony tickets are $45, and mezzanine tickets are $39. One particular night, sales totaled $81,213. There were 483 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 109 more than 3 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
a) 135 main floor, 52 balcony, 83 mezzanine
b) 162 main floor, 73 balcony, 96 mezzanine
c) 195 main floor, 86 balcony, 109 mezzanine
d) 229 main floor, 99 balcony, 122 mezzanine