document.write( "Question 54709: Adult tickets for a play cost $11 and child tickets cost $10. If there were 23 people at a performance and the theater collected $246 from ticket sales, how many children attended the play? \n" ); document.write( "
Algebra.Com's Answer #36992 by tutorcecilia(2152)\"\" \"About 
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Ax+By=C [Use the standard equation of a line]
\n" ); document.write( "x+y=23 [Total tickets sold, so substitute (y=23-x)]
\n" ); document.write( "($10)(x)+($11)(23-x)=$246
\n" ); document.write( "10x+11(23-x)=246
\n" ); document.write( "10x+253-11x=246
\n" ); document.write( "10x-11x=246-253
\n" ); document.write( "-1x=-7
\n" ); document.write( "x=7
\n" ); document.write( ".
\n" ); document.write( "So,
\n" ); document.write( "Children's tickets=($10)(7)=$70
\n" ); document.write( "Adult's tickets = ($11)(23-7)=$176
\n" ); document.write( "$176+$70=$246
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