document.write( "Question 708630: hi math is not my best skill and i have tried and tried to get the correct answer for my homework, i was just wondering how to solve this problem: A local movie theater charges $12 for an adult ticket and $10 for a child’s ticket. A group of eight people spent a total of $86 on tickets to a movie. How many adults and how many children were in the group? with the elimination method.. thank you very much. \n" ); document.write( "
Algebra.Com's Answer #436181 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "let an adult ticket be \"x\" and a child’s ticket \"y\"\r
\n" ); document.write( "\n" ); document.write( "A local movie theater charges $\"12\" for an adult ticket and
\n" ); document.write( "$\"10\" for a child’s ticket. \r
\n" ); document.write( "\n" ); document.write( "A group of \"eight\" people (adult and children) \r
\n" ); document.write( "\n" ); document.write( "\"x%2By=8\"................eq.1
\n" ); document.write( "spent a total of $\"86\"
\n" ); document.write( "\"12x%2B10y=86\"........eq.2
\n" ); document.write( "on tickets to a movie. \r
\n" ); document.write( "\n" ); document.write( "How many adults and how many children were in the group?\r
\n" ); document.write( "\n" ); document.write( "solve the system:
\n" ); document.write( "\"x%2By=8\"................eq.1....both sides multiply by \"10\"
\n" ); document.write( "\"12x%2B10y=86\"........eq.2
\n" ); document.write( "_________________________with the elimination method\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \"10x%2B10y=80\"................eq.1
\n" ); document.write( "-
\n" ); document.write( "\"12x%2B10y=86\"........eq.2.subtract eq.2 from eq.1
\n" ); document.write( "_________________________\r
\n" ); document.write( "\n" ); document.write( "\"10x%2B10y-12x-10y=80-86\"\r
\n" ); document.write( "\n" ); document.write( "\"10x%2Bcross%2810y%29-12x-cross%2810y%29=-6\"\r
\n" ); document.write( "\n" ); document.write( "\"-2x=-6\"....both sides multiply by \"-1\"\r
\n" ); document.write( "\n" ); document.write( "\"2x=6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=6%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=3%29\".....# of adults in the group\r
\n" ); document.write( "\n" ); document.write( "now go back to eq. 1 and find \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"3%2By=8\"................eq.1\r
\n" ); document.write( "\n" ); document.write( "\"y=8-3\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=5%29\"......# of children in the group\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );