document.write( "Question 800034: please help me solve the following word problem. tickets for a school dance cost $7 in advance or $11 at the door. If 109 students attend the dance and the total spent was $887, how many tickets were bought in advance and how many at the door? \n" ); document.write( "
Algebra.Com's Answer #482909 by mananth(16946)![]() ![]() You can put this solution on YOUR website! x= Number of gate tickets \n" ); document.write( "y= Number of tickets in advance \n" ); document.write( " \n" ); document.write( "1 x + 1 y = 109 .............1 \n" ); document.write( "Total value \n" ); document.write( "11 x + 7 y = 887 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -7 \n" ); document.write( "Multiply (2) by 1 \n" ); document.write( "-7 x -7 y = -763 \n" ); document.write( "11 x + 7 y = 887 \n" ); document.write( "Add the two equations \n" ); document.write( "4 x = 124 \n" ); document.write( "/ 4 \n" ); document.write( "x = 31 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1 x + 1 y = 109 \n" ); document.write( "31 + y = 109 \n" ); document.write( " y = 109 -31 \n" ); document.write( " y = 78 \n" ); document.write( " y = 78 \n" ); document.write( "x= 31 Number of gate tickets \n" ); document.write( "y= 78 Number of tickets in advance \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |