document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=335846>Question 335846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A scout leader wishes to cut a rope for tents into three pieces whose lengths are consecutive odd integers. If the length of the first and the third piece is 58 feet, find the length of the middle piece. 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 #240862 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=240862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the lengths are consecutive odd integers.\r<BR>\n" );
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document.write( "if the first length is n, then the second length is n+2, and the third length is n + 4.\r<BR>\n" );
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document.write( "The sum of the lengths of the first and the third piece is 58 feet.\r<BR>\n" );
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document.write( "This means that n + n + 4 = 58.\r<BR>\n" );
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document.write( "Combine like terms to get:\r<BR>\n" );
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document.write( "2n + 4 = 58.\r<BR>\n" );
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document.write( "Subtract 4 from both sides of the equation to get:\r<BR>\n" );
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document.write( "2n = 54.\r<BR>\n" );
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document.write( "Divide both sides of the equation by 2 to get:\r<BR>\n" );
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document.write( "n = 27.\r<BR>\n" );
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document.write( "Since these are 3 consecutive numbers that are all odd, this means that:\r<BR>\n" );
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document.write( "first number is n = 27<BR>\n" );
document.write( "second number is n + 2 = 29<BR>\n" );
document.write( "third number is n + 4 = 31\r<BR>\n" );
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document.write( "sum of first and third number is 27 + 31 = 58.\r<BR>\n" );
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document.write( "Everything checks out so this is your answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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