SOLUTION: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $52, balcony tickets are $44, and mezzanine tickets are

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Question 1150386: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $52, balcony tickets are $44, and mezzanine tickets are $28. One particular night, sales totaled $81,688. There were 158 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 166 more than 4 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
Found 2 solutions by nijneweed, ikleyn:
Answer by nijneweed(6) About Me  (Show Source):
Answer by ikleyn(52909) About Me  (Show Source):
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Let x be the number of the mezzanine tickets sold.

Then the number of balcony tickets sold is (4x+166),

and the number of the main floor tickets is  (x + (4x+166)+158) = 5x + 324.


Now the money equation takes the form


    52*(5x + 324) + 44*(4x+166) + 28*x = 81688 dollars.


Simplify and solve this equation for x.


Starting from this point, complete the solution on your own.