document.write( "Question 118007: El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats were sold? \n" ); document.write( "
Algebra.Com's Answer #86076 by stanbon(75887) ![]() You can put this solution on YOUR website! El Segundo High School put on their annual musical. the students sold 650 tickets for a value of $4375. If orchestra seats cost $7.50 and balcony seats cost $3.50, how many of each kind of seats were sold? \n" ); document.write( "----------------- \n" ); document.write( "Let # of orchestra tickets be \"r\"; Let # of balcony tickets be \"b\". \n" ); document.write( "EQUATIONS: \n" ); document.write( "Quantity: r+b=650 \n" ); document.write( "Value: 7.5r + 3.5b = 4375 \n" ); document.write( "------------------- \n" ); document.write( "Substitute to solve for \"b\" \n" ); document.write( "7.5(650-b) + 3.5b = 4375 \n" ); document.write( "4875-7.5b+3.5b = 4375 \n" ); document.write( "-4b = -500 \n" ); document.write( "b = 125 (# of balconey tickets sold) \n" ); document.write( "-------- \n" ); document.write( "Substitute to solve for \"r\": \n" ); document.write( "r+125 = 650 \n" ); document.write( "r = 525 (# of orchestra tickets sold) \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |