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)\"\" \"About 
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( "
\n" );