document.write( "Question 771577: The band members sold tickets to their concert performance. Some were $5 tickets, and some were $6 tickets. There were 16 more than twice as many $6 tickets sold as $5 tickets. The total sales were $1643. How many tickets of each price were sold?\r
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document.write( "That is the problem, but I just need the right formula to go with it. Thank you. \n" );
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Algebra.Com's Answer #470340 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= Number of $5 tickets \n" ); document.write( "y= Number of $6 tickets \n" ); document.write( "Total sold value \n" ); document.write( "5 x + 6 y = 1643 .............1 \n" ); document.write( "condition \n" ); document.write( "y=2x+16 \n" ); document.write( "-2 x + 1 y = 16 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -1 \n" ); document.write( "Multiply (2) by 6 \n" ); document.write( "-5 x -6 y = -1643 \n" ); document.write( "-12 x + 6 y = 96 \n" ); document.write( "Add the two equations \n" ); document.write( "-17 x = -1547 \n" ); document.write( "/ -17 \n" ); document.write( "x = 91 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "5 x + 6 y = 1643 \n" ); document.write( "455 + 6 y = 1643 \n" ); document.write( " 6 y = 1643 -455 \n" ); document.write( " 6 y = 1188 \n" ); document.write( " y = 198 \n" ); document.write( "x= 91 Number Of $5 tickets \n" ); document.write( "y= 198 Number Of $6 tickets \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |