document.write( "Question 789663: The local theater has three types of seats for Broadway plays: main floor, balcony and mezzanine. 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? \n" ); document.write( "

Algebra.Com's Answer #478900 by stanbon(75887) $\"\"$ $\"About$

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Main floor tickets are $58, balcony tickets are $44, and mezzanine tickets are $37. One particular night, sales totaled $82,812.
\n" ); document.write( "There were 79 more main floor tickets sold than balcony and mezzanine tickets combined.
\n" ); document.write( "The number of balcony tickets sold is 333 more than 4 times the number of mezzanine tickets sold.
\n" ); document.write( "How many of each type of ticket were sold?
\n" ); document.write( "----------
\n" ); document.write( "58m +44b + 37z = 82,812
\n" ); document.write( "m = b + z + 79
\n" ); document.write( "b = 4z + 333\r
\n" ); document.write( "\n" ); document.write( "========================
\n" ); document.write( "Rearrange:
\n" ); document.write( "58m +44b + 37z = 82,812
\n" ); document.write( "m -b - z = 79
\n" ); document.write( "0 +b - 4z = 333
\n" ); document.write( "--------------------------
\n" ); document.write( "m = 852
\n" ); document.write( "b = 685
\n" ); document.write( "z = 88
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );