document.write( "Question 632780: The cost of 8 adult's tickets and 7 children's tickets is $82.45. The cost of 4 adult's tickets and 9 children's tickets is $65.15. Find the cost of each adult's ticket and each child's ticket. In the answer box below enter the cost of each adult's ticket \n" ); document.write( "
Algebra.Com's Answer #398502 by mananth(16946)\"\" \"About 
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x Adult Ticket
\n" ); document.write( "y Chuild Ticket
\n" ); document.write( "Total tickets
\n" ); document.write( "8 x + 7 y = 82.45 .............1
\n" ); document.write( "
\n" ); document.write( "4 x + 9 y = 65.15 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 9
\n" ); document.write( "Multiply (2) by -7
\n" ); document.write( "72 x 63 y = 742.05
\n" ); document.write( "-28 x -63 y = -456.05
\n" ); document.write( "Add the two equations
\n" ); document.write( "44 x = 286.00
\n" ); document.write( "/ 44
\n" ); document.write( "x = 6.50
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "8 x + 7 y = 82
\n" ); document.write( "52 + 7 y = 82
\n" ); document.write( " 7 y = 82 -52
\n" ); document.write( " 7 y = 30
\n" ); document.write( " y = 4.35 \r
\n" ); document.write( "\n" ); document.write( "Adult Ticket $ 6.50
\n" ); document.write( "Child ticket $4.35
\n" ); document.write( " \n" ); document.write( "
\n" );