The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48$48, balcony tickets are $45$45, and mezzanine tickets are $36$36. One particular night, sales totaled $59,487$59,487. There were 209209 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 442442 more than 33 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48$48, balcony tickets are $45$45, and mezzanine tickets are $36$36. One particular night, sales totaled $59,487$59,487. There were 209209 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 442442 more than 33 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
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The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48$48, balcony tickets are $45$45, and mezzanine tickets are $36$36. One particular night, sales totaled $59,487$59,487. There were 209209 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 442442 more than 33 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
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