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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

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 $60, balcony tickets are $42, and mezzanine tickets are $36. One particular night, sales totaled $53,514. There were 19 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 49 more than 44 times the number of mezzanine tickets sold. How many of each type of ticket were sold?

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