document.write( "Question 994744: A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $62.00 and ticket prices for children are $32.00. If the theatre made $26,140.00 for the show, how many adult and children attended? \n" ); document.write( "
Algebra.Com's Answer #613766 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A local theatre sold 500 seats for an upcoming play. Ticket prices for adults are $62.00 and ticket prices for children are $32.00. If the theatre made $26,140.00 for the show, how many adult and children attended? \n" ); document.write( "----- \n" ); document.write( "Quantity:: a + c = 500 tickets \n" ); document.write( "Value:: 62a + 32c = 26140 \n" ); document.write( "---------- \n" ); document.write( "Modify for elimination:: \n" ); document.write( "31a + 31c = 31*500 \n" ); document.write( "31a + 16c = 13070 \n" ); document.write( "------ \n" ); document.write( "Subtract and solve for \"c\": \n" ); document.write( "15c = 2430 \n" ); document.write( "c = 162 (# of child tickets sold) \n" ); document.write( "---------- \n" ); document.write( "a = 500-162 = 338 (# of adult tickets sold) \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " |