document.write( "Question 865271: the band members sold tickets to their concert performance. some were $3 tickets and some were $8 tickets. there were 10 more than twice as many $8 tickets sold as $3 tickets. the total sales were $1,448. how many tickets of each price were sold. \n" ); document.write( "
Algebra.Com's Answer #521663 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the band members sold tickets to their concert performance. some were $3 tickets and some were $8 tickets. there were 10 more than twice as many $8 tickets sold as $3 tickets. the total sales were $1,448. how many tickets of each price were sold. \r \n" ); document.write( "\n" ); document.write( "$3 tickets ----------------------x \n" ); document.write( "$8 tickets ----------------------y\r \n" ); document.write( "\n" ); document.write( "y=2x+10 \n" ); document.write( "y-2x=10.................(1)\r \n" ); document.write( "\n" ); document.write( "3x+8y=1448...............(2)\r \n" ); document.write( "\n" ); document.write( "solve for x & y\r \n" ); document.write( "\n" ); document.write( "-2 x + 1 y = 10 .............1 \n" ); document.write( "Total value \n" ); document.write( "3 x + 8 y = 1448 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -8 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "16 x -8 y = -80 \n" ); document.write( "3 x + 8 y = 1448 \n" ); document.write( "Add the two equations \n" ); document.write( "19 x = 1368 \n" ); document.write( "/ 19 \n" ); document.write( "x = 72 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-2 x + 1 y = 10 \n" ); document.write( "-144 + y = 10 \n" ); document.write( " y = 10 + 144 \n" ); document.write( " y = 154 \n" ); document.write( " y = 154 \n" ); document.write( "x= 72 number of $3 \n" ); document.write( "y= 154 number of $8 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |