document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128737>Question 128737</A>: <I><SPAN STYLE=\"word-break: break-all;\"> May you please help me solve this problem: \"A bookshelf contains three types of books: novels, biographies, and mysteries. There are three more than twice as many novels as biographies. There is one less than three times as many mysteries as novels. If there are 25 novels, what is the fraction of the books are biographies?\" I tried making a chart but I can't figure out how many books there are for each category.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96323 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Number of novels: n<BR>\n" );
document.write( "Number of biographies: b<BR>\n" );
document.write( "Number of mysteries: m\r<BR>\n" );
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document.write( "Givens:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+25 ALIGN=MIDDLE  ALT=\"n+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=2b%2B3 ALIGN=MIDDLE  ALT=\"n=2b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if there were twice as many novels as biographies, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n+=+2b ALIGN=MIDDLE  ALT=\"n+=+2b\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but there are three more than that so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=2b%2B3 ALIGN=MIDDLE  ALT=\"n=2b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3n-1 ALIGN=MIDDLE  ALT=\"m=3n-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, similar logic\r<BR>\n" );
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document.write( "We can substitute 25 for n directly, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=2b%2B3 ALIGN=MIDDLE  ALT=\"25=2b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3%2825%29-1 ALIGN=MIDDLE  ALT=\"m=3%2825%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3%2825%29-1 ALIGN=MIDDLE  ALT=\"m=3%2825%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=74 ALIGN=MIDDLE  ALT=\"m=74\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=2b%2B3 ALIGN=MIDDLE  ALT=\"25=2b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22=2b ALIGN=MIDDLE  ALT=\"22=2b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=11 ALIGN=MIDDLE  ALT=\"b=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, we have a total of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+%2B+11+%2B+74+=+110 ALIGN=MIDDLE  ALT=\"25+%2B+11+%2B+74+=+110\"   DISABLED_style= \"max-width:90%; height:auto;\" > books\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F110=1%2F10 ALIGN=MIDDLE  ALT=\"11%2F110=1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > are biographies. </SPAN>\n" );
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