document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167529>Question 1167529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lolo Jose constructs a wooden ladder with 6 steps. The height of the ladder is 6ft longer than the lengths of the steps. What are the dimensions of the ladder if only 20 feet of wood is used?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #792120 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=792120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let H = the height of the ladder.<BR>\n" );
document.write( "let S = the length of each step.\r<BR>\n" );
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document.write( "the height of the ladder is 6 feet longer than the length of each step.\r<BR>\n" );
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document.write( "equation for that is H = S + 6\r<BR>\n" );
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document.write( "the ladder has 2 pieces of wood that are as long as the height of the ladder and 6 pieces of wood that are as long as the length of each step.\r<BR>\n" );
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document.write( "the total amount of wood is 20 feet.\r<BR>\n" );
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document.write( "therefore:\r<BR>\n" );
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document.write( "2H + 6S = 20\r<BR>\n" );
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document.write( "since H = S + 6, then:\r<BR>\n" );
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document.write( "2 * (S + 6) + 6S  = 20\r<BR>\n" );
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document.write( "simplify to get 2S + 12 + 6S = 20\r<BR>\n" );
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document.write( "combine like terms to get 8S + 12 = 20\r<BR>\n" );
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document.write( "subtract 12 from both sides of the equation to get 8S = 8\r<BR>\n" );
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document.write( "solve for S to get S = 1\r<BR>\n" );
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document.write( "the length of each step is equal to 1 foot.\r<BR>\n" );
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document.write( "the height of the ladder is S + 6 = 7 feet.\r<BR>\n" );
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document.write( "there are 2 pieces of wood that are 7 feet long  each and 6 pieces of wood that are 1 foot long each.\r<BR>\n" );
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document.write( "total amount of wood = 2 * 7 + 6 * 1 = 14 + 6 = 20.\r<BR>\n" );
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document.write( "the dimensions of the ladder are 7 feet high by 1 foot wide.\r<BR>\n" );
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