document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124080>Question 124080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> include systems of equations for solving\r<BR>\n" );
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document.write( "Adult tickets for a play cost $14 and child tickets cost $3.  If there were 26 people at a performance and the theater collected $199 from tickets, 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 #91117 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=91117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Adult tickets for a play cost $14 and child tickets cost $3. If there were 26 people at a performance and the theater collected $199 from tickets, how many adults and how many children attended the play?<BR>\n" );
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document.write( "Let a = no. of adults<BR>\n" );
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document.write( "Let c = no. of children<BR>\n" );
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document.write( "Write an equation for each statement/phrase:<BR>\n" );
document.write( "\"If there were 26 people at a performance\"<BR>\n" );
document.write( "a + c = 26<BR>\n" );
document.write( "Subtract a from both sides:<BR>\n" );
document.write( "c = (26-a); we can use this for substitution:<BR>\n" );
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document.write( "\"Adult tickets for a play cost $14 and child tickets cost $3...the theater collected $199 from tickets,\"<BR>\n" );
document.write( " 14a + 3c = $199<BR>\n" );
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document.write( "how many adults and how many children attended the play?<BR>\n" );
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document.write( "Substitute (26-a) for c in the above equation, find a<BR>\n" );
document.write( "14a + 3(26-a) = 199<BR>\n" );
document.write( "14a + 78 - 3a = 199<BR>\n" );
document.write( "14a - 3a = 199 - 78<BR>\n" );
document.write( "11a = 121<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=121%2F11 ALIGN=MIDDLE  ALT=\"121%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 11 adults<BR>\n" );
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document.write( "We know c = (26-a); substitute 11 for a<BR>\n" );
document.write( "c = 26 - 11<BR>\n" );
document.write( "c = 15 children<BR>\n" );
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document.write( "Check solutions in the $$ equation<BR>\n" );
document.write( "14a + 3c = $199<BR>\n" );
document.write( "14(11) + 3(15) =<BR>\n" );
document.write( "154 + 45 = 199; confirms our solutions  </SPAN>\n" );
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