Question 789663
Main floor tickets are $58, balcony tickets are $44, and mezzanine tickets are $37. One particular night, sales totaled $82,812. 
There were 79 more main floor tickets sold than balcony and mezzanine tickets combined. 
The number of balcony tickets sold is 333 more than 4 times the number of mezzanine tickets sold. 
How many of each type of ticket were sold?
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58m +44b + 37z = 82,812
m = b + z + 79
b = 4z + 333

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Rearrange:
58m +44b + 37z = 82,812
m   -b   -   z = 79
0   +b   -  4z = 333
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m = 852
b = 685
z =  88
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Cheers,
Stan H.