document.write( "Question 159037: carmen sold play tickets. each adult ticket cost $4.00 and each students ticket cost $2.00. The total number of tickets sold was 260, and the total income was $700.00. How many of each kind of tickets were sold? \n" ); document.write( "
Algebra.Com's Answer #117157 by KnightOwlTutor(293) You can put this solution on YOUR website! X=# of adult tickets \n" ); document.write( "260-X= # of student tickets\r \n" ); document.write( "\n" ); document.write( "$ made by selling adult tickets is $4(X) \n" ); document.write( "$ made by selling student tickets is $(260-X)($2)\r \n" ); document.write( "\n" ); document.write( "The equation is 4X +(2)(260-X) =$700\r \n" ); document.write( "\n" ); document.write( "Use the distributive property\r \n" ); document.write( "\n" ); document.write( "$4X + $520 -$2X=$700\r \n" ); document.write( "\n" ); document.write( "Add $4X -$2X= $2X\r \n" ); document.write( "\n" ); document.write( "$2X+ $520=$700 \r \n" ); document.write( "\n" ); document.write( "Subtract $520 from both sides\r \n" ); document.write( "\n" ); document.write( "$2X=$180 \n" ); document.write( "X=$90 \n" ); document.write( " \n" ); document.write( "Therefore the # of adult tickets sold were 90, 260-90=# of student tickets sold=170. To confirm plug in values. $4(90)+ 2(170)=$700\r \n" ); document.write( "\n" ); document.write( "$360 + $340= $700 \n" ); document.write( " |