document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106575>Question 106575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> adult tickets for a play cost $17 and child tickets cost $7. if there were  32 people at a performance and the theater collected $354 from ticket sales, how many adults and how many children attended the play? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77571 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let A = the number of adults in attendance and C = the number of children in attendance.<BR>\n" );
document.write( "A+C = 32 \"...there were 32 people at a perfomance...\" <BR>\n" );
document.write( "A($17) + C($7) = $354 \"...the theatre collected $354 from ticket sales,...\"<BR>\n" );
document.write( "So now we have two equtions with two unknowns (A and C):\r<BR>\n" );
document.write( "\n" );
document.write( "A+C = 32 rewrite this as: C = 32-A<BR>\n" );
document.write( "17A+7C = 354 Substitute the C = 32-A into this equation and solve for A.<BR>\n" );
document.write( "17A + 7(32-A) = 354 Simplify.<BR>\n" );
document.write( "17A + 224-7A = 354 After subtracting the A's, subtract 224 from both sides.<BR>\n" );
document.write( "10A = 130 Divide both sides by 10.<BR>\n" );
document.write( "A = 13 and...<BR>\n" );
document.write( "C = 32-A<BR>\n" );
document.write( "C = 32-13<BR>\n" );
document.write( "C = 19<BR>\n" );
document.write( "The number of adults attending = 13 and the number of children attending = 19\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );