document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526481>Question 526481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I'm stuck on this word problem.  At the Halloween event there were 335 people in costume.  There were 31 fewer vampires than witches and four times as many ghosts as all of the vampires and witches together.  How many ghosts were there?\r<BR>\n" );
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document.write( "Thanks for your help.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #348534 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=348534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At the Halloween event there were 335 people in costume. There were 31 fewer vampires than witches and four times as many ghosts as all of the vampires and witches together. How many ghosts were there? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "v + w + g = 335<BR>\n" );
document.write( "v = w-31<BR>\n" );
document.write( "g = 4(v+w)<BR>\n" );
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document.write( "Rearrange the equations:<BR>\n" );
document.write( "v + w + g = 335<BR>\n" );
document.write( "v - w + 0 = -31<BR>\n" );
document.write( "4v+4w - g = 0<BR>\n" );
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document.write( "I used a matrix method to get:<BR>\n" );
document.write( "v = 18<BR>\n" );
document.write( "w = 49<BR>\n" );
document.write( "g = 268 (# of ghosts)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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