document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368247>Question 368247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word problem.\r<BR>\n" );
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document.write( "30 students bought pennants.<BR>\n" );
document.write( "The plain pennants cost $4.<BR>\n" );
document.write( "The fancy pennants cost $8.<BR>\n" );
document.write( "The total cost if all pennants is $186.<BR>\n" );
document.write( "How many fancy pennants were purchased? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262469 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let P be the number of plain pennants, F fancy pennants.<BR>\n" );
document.write( "Total number of pennants:<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2BF=30 ALIGN=MIDDLE  ALT=\"P%2BF=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Total value of pennants:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4P%2B8F=186 ALIGN=MIDDLE  ALT=\"4P%2B8F=186\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P%2B4F=93 ALIGN=MIDDLE  ALT=\"2P%2B4F=93\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply eq. 1 by (-2) and add to eq. 2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2P-2F%2B2P%2B4F=-60%2B93 ALIGN=MIDDLE  ALT=\"-2P-2F%2B2P%2B4F=-60%2B93\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2F=33 ALIGN=MIDDLE  ALT=\"2F=33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=33%2F2 ALIGN=MIDDLE  ALT=\"F=33%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is a problem with your problem setup.<BR>\n" );
document.write( "The expected numbers for P and F are integers unless someone buys 1/2 of a pennant. <BR>\n" );
document.write( "Please check the problem and re-post.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );