document.write( "Question 246199: I have no idea how to go about even setting this up. Any help is greatly appreciated as I'm studying for a final and this question may turn up!\r
\n" );
document.write( "\n" );
document.write( "A theater group plans to sell 750 tickets for a play. They are charging $12 for orchestra seats, $8 for mezzanine seats, and $6 for balcony seats, and they plan to collect $7290. There are 100 more orchestra seats than mezzanine and balcony tickets combined. How many of each type of ticket were sold? \n" );
document.write( "
Algebra.Com's Answer #179840 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A theater group plans to sell 750 tickets for a play. \n" ); document.write( "Quantity Equation: O + M + B = 750 \n" ); document.write( "----------------- \n" ); document.write( " \n" ); document.write( "They are charging $12 for orchestra seats, $8 for mezzanine seats, and $6 for balcony seats, and they plan to collect $7290. \n" ); document.write( "Value Equation: 12R + 8M + 6B = 7290 dollars \n" ); document.write( "----------------\r \n" ); document.write( "\n" ); document.write( "There are 100 more orchestra seats than mezzanine and balcony tickets combined. \n" ); document.write( "Quantity Equationg: R = (M+B)+100 \n" ); document.write( "--------------------------------\r \n" ); document.write( "\n" ); document.write( "How many of each type of ticket were sold? \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "You have three equations in three unknowns. \n" ); document.write( "Solve the system of equations in any way you know how. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |