document.write( "Question 778174: there were 770 tickets sold for a football game. the student tickets cost a quarter and the tickets bought at the gate were a half dollar each. $228 was taken in. How many of each kind of ticket were sold? what was the average price per ticket \n" ); document.write( "
Algebra.Com's Answer #474483 by mananth(16946) You can put this solution on YOUR website! x= Number of gate tickets \n" ); document.write( "y= Number of students \n" ); document.write( " \n" ); document.write( "1.00 x + 1.00 y = 770.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "0.50 x 0.25 y = 228.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 0.25 \n" ); document.write( "Multiply (2) by -1.00 \n" ); document.write( "0.25 x 0.25 y = 192.50 \n" ); document.write( "-0.50 x -0.25 y = -228.00 \n" ); document.write( "Add the two equations \n" ); document.write( "-0.25 x = -35.50 \n" ); document.write( "/ -0.25 \n" ); document.write( "x = 142.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "1.00 x + 1.00 y = 770.00 \n" ); document.write( "142.00 + y = 770.00 \n" ); document.write( " y = 770.00 -142.00 \n" ); document.write( " y = 628.00 \n" ); document.write( " y = 628.00 \n" ); document.write( "x= 142 Number of gate tickets \n" ); document.write( "y= 628 Number of students \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |