document.write( "Question 503233: Ron and Kathy are ticket-sellers at their class play, Ron handling student tickets that sell for $2.00 each and Kathy selling adult tickets for $4.50 each. If their total income for 20 tickets was $60.00, how many did Ron sell? \n" ); document.write( "
Algebra.Com's Answer #339274 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Student tickets sold = s \n" ); document.write( "Adult tickets sold = a \n" ); document.write( "Cost of total tickets sold = 60 \n" ); document.write( "Student tickets sold + Adult tickets sold = Total Tickets sold \n" ); document.write( "s+a = 20 \n" ); document.write( "s = 20-a .......(1) \n" ); document.write( "Cost of Adult Ticket = 4.5 \n" ); document.write( "Cost of Students Ticket = 2 \n" ); document.write( "Cost of Student tickets sold = s*2=2s \n" ); document.write( "Cost of Adult tickets sold = a*4.5 =4.5a \n" ); document.write( "Cost of Student tickets sold + Cost Adult tickets sold = Cost of Total Tickets sold\r \n" ); document.write( "\n" ); document.write( "2s+4.5a=60 \n" ); document.write( "Put the value of s in above equation \n" ); document.write( "2(20-a)+4.5a=60 \n" ); document.write( "40-2a+4.5a=60 \n" ); document.write( "40+2.5a=60 \n" ); document.write( "2.5a=60-40 \n" ); document.write( "2.5a=60-40 \n" ); document.write( "2.5a=20 \n" ); document.write( "Divide by 2.5 \n" ); document.write( "2.5a/2.5=20/2.5 \n" ); document.write( "a=8 \n" ); document.write( "Put the value of a in (1) \n" ); document.write( "s = 20-a .......(1) \n" ); document.write( "s = 20-8 \n" ); document.write( "s = 12 \n" ); document.write( "Student tickets sold = 12 \n" ); document.write( "Adult tickets sold = 8\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "60=12*2 + 8*4.5 \n" ); document.write( "60=24+36 \n" ); document.write( "60=60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |