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)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |