document.write( "Question 76679: Tickets for a play at the community theater cost $20 for an adult and $8 for a child. If 120 tickets were sold and the total receipts were $2040, how many of each type of ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #55005 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=number of adult tickets sold
\n" ); document.write( "Then 120-x=number of child tickets sold\r
\n" ); document.write( "\n" ); document.write( "Now we are told that the receipts for adult tickets ($20x) plus the receipts for child tickets ($8(120-x)) equals $2040. So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( "20x+8(120-x)=2040 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "20x+960-8x=2040 subtract 960 from both sides
\n" ); document.write( "20x+960-960-8x=2040-960 collect like terms
\n" ); document.write( "12x=1080 divide both sides by 12\r
\n" ); document.write( "\n" ); document.write( "x=90-----------------------------number of adult tickets sold\r
\n" ); document.write( "\n" ); document.write( "120-x=120-90=30--------------------number of child tickets sold\r
\n" ); document.write( "\n" ); document.write( "ck\r
\n" ); document.write( "\n" ); document.write( "20*90+8*30=2040
\n" ); document.write( "1800+240=2040
\n" ); document.write( "2040=2040\r
\n" ); document.write( "\n" ); document.write( "also 90+30=120
\n" ); document.write( "120=120\r
\n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor
\n" ); document.write( " \n" ); document.write( "
\n" );