document.write( "Question 182319: Adult tickets to the school musical are $5 and student tickets are $2. There are 300 seats in the auditorium where the musical is being performed. The goal for ticket sales for one performance is at least $900. Make a graph showing the number of each kind of ticket needed to be sold to rach the goal. List theree possilbe solutions. \n" ); document.write( "
Algebra.Com's Answer #136930 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Adult tickets to the school musical are $5 and student tickets are $2. \n" ); document.write( " There are 300 seats in the auditorium where the musical is being performed. \n" ); document.write( " The goal for ticket sales for one performance is at least $900. Make a graph \n" ); document.write( " showing the number of each kind of ticket needed to be sold to reach the goal. \n" ); document.write( ": \n" ); document.write( "Let x = no. of adult tickets \n" ); document.write( "Let y = no. of student tickets \n" ); document.write( ": \n" ); document.write( "x + y =< 300 \n" ); document.write( "y = 300-x; graph this equation (purple line \n" ); document.write( ": \n" ); document.write( "5x + 2y => 900 \n" ); document.write( "2y = 900-5x \n" ); document.write( "divide both sides by 2 \n" ); document.write( "y = 450 - 2.5x; graph this equation, (green line)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "The area of feasibility: \n" ); document.write( "At or above the green line (5x + 2y => 900) \n" ); document.write( "and \n" ); document.write( "At or below the purple line (x + y =< 300) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " List three possible solutions. \n" ); document.write( ": \n" ); document.write( "You can see the x values (adults) between 150 and 250 would satisfy \n" ); document.write( "x = 200 \n" ); document.write( "y = 300 - 200 \n" ); document.write( "y = 100 \n" ); document.write( ": \n" ); document.write( "5(200) + 2(100) = $1200; 200 adults & 100 students is a good solution \n" ); document.write( "; \n" ); document.write( "I'll let you choose two other solutions \n" ); document.write( " |