document.write( "Question 425901: A total of 200 people attend a concert. Floor tickets cost $15 and balcony tickets cost $12. If ticket sales resulted in $2,556, how many floor tickets were sold? \n" ); document.write( "
Algebra.Com's Answer #296397 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Number of floor tickets x \n" ); document.write( "Number of balcony ticket y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y=200 .............1 \n" ); document.write( "15x+12y=2556 .............2 \n" ); document.write( " \n" ); document.write( "multiply (1)by -12 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-12x-12y=-2400 \n" ); document.write( "15x+12y=2556 \n" ); document.write( " \n" ); document.write( "Add the two equations \n" ); document.write( " \n" ); document.write( "3x=156 \n" ); document.write( " \n" ); document.write( "/3 \n" ); document.write( " \n" ); document.write( "x=52 ===> 52.00 floor tickets \n" ); document.write( " \n" ); document.write( "plug value of x in (1) \n" ); document.write( " \n" ); document.write( "x+y=200 \n" ); document.write( "52+y=200 \n" ); document.write( "y=200-52 \n" ); document.write( "y=148 balcony tickets \n" ); document.write( " |