document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68109>Question 68109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ALTOGETHER 568 TICKETS WERE SOLD TO A PLAY. AN ADULT TICKET COSTS $5.00. A CHILD TICKET COSTS $2.OO. TICKET SALES WERE $2345.00. THE THEATER MANAGER EXPECTS TO SELL THE SAME NUMBER OF TICKETS TO THE NEXT PLAY, BUT WANTS TO INCREASE THE TICKET SALES TO $3554 BY INCREASING THE PRICE OF ADULT TICKETS. FIND THE NEW PRICE OF AN ADULT TICKET. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48462 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=48462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two equations:<BR>\n" );
document.write( "a + c = 568<BR>\n" );
document.write( "Rearrange to use for substitution, subtract c from both sides:<BR>\n" );
document.write( "a = (568 - c)<BR>\n" );
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document.write( "5a + 2c = 2345<BR>\n" );
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document.write( "Substitute (568-c) for a;<BR>\n" );
document.write( "5(568-c) + 2c = 2345<BR>\n" );
document.write( "2840 - 5c + 2c = 2345<BR>\n" );
document.write( "-3c = 2345 - 2840<BR>\n" );
document.write( "-3c = -495<BR>\n" );
document.write( "c = -495/-3<BR>\n" );
document.write( "c =  +165 children<BR>\n" );
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document.write( "Find the adults using equation: a + c = 568<BR>\n" );
document.write( "a + 165 = 568<BR>\n" );
document.write( "a = 568 - 165<BR>\n" );
document.write( "a = 403 adults<BR>\n" );
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document.write( "Check solutions in the equation 5a + 2c = 2345<BR>\n" );
document.write( "5(403) + 2(165) =<BR>\n" );
document.write( "2015 + 330 = 2345<BR>\n" );
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document.write( "Let p = the new adult price:<BR>\n" );
document.write( "403p + 165(2) = 3554<BR>\n" );
document.write( "403p + 330 = 3554<BR>\n" );
document.write( "403p = 3554 - 330<BR>\n" );
document.write( "403p = 3224<BR>\n" );
document.write( "p = 3224/403<BR>\n" );
document.write( "p = $8 is the new price for adults </SPAN>\n" );
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