document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261765>Question 261765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 94 ft. rope is cut into three pieces. The second piece is 2 feet longer then the shortest piece. The third is 4 feet less then twice the shortest piece. How long is each piece? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192878 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=192878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Setup:<BR>\n" );
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document.write( "Notice that each length is given in respect to the shotest piece.<BR>\n" );
document.write( "Let A = the length of the shortest piece<BR>\n" );
document.write( "Let B = the length of the second piece<BR>\n" );
document.write( "Let C = the length of the third piece<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+A+%2B+2 ALIGN=MIDDLE  ALT=\"B+=+A+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2A+-+4 ALIGN=MIDDLE  ALT=\"C+=+2A+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+94 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solution:<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Since we know what B and C equal in terms of A, we can substitute the values into equation 3<BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+94 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+%28A+%2B+2%29+%2B+%282A+-+4%29+=+94 ALIGN=MIDDLE  ALT=\"A+%2B+%28A+%2B+2%29+%2B+%282A+-+4%29+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A+-+2+=+94 ALIGN=MIDDLE  ALT=\"4A+-+2+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add 2 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4A+=+96 ALIGN=MIDDLE  ALT=\"4A+=+96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A+=+24%29 ALIGN=MIDDLE  ALT=\"highlight%28A+=+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Now we can find the other lengths by replacing A with 24 in equations 1 & 2<BR>\n" );
document.write( "Equation 1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+A+%2B+2 ALIGN=MIDDLE  ALT=\"B+=+A+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+24+%2B+2 ALIGN=MIDDLE  ALT=\"B+=+24+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B+=+26%29 ALIGN=MIDDLE  ALT=\"highlight%28B+=+26%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2A+-+4 ALIGN=MIDDLE  ALT=\"C+=+2A+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+2%2A%2824%29+-+4 ALIGN=MIDDLE  ALT=\"C+=+2%2A%2824%29+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C+=+44%29 ALIGN=MIDDLE  ALT=\"highlight%28C+=+44%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check the answers:<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "We can check the answers by placing them back into eqaution 3<BR>\n" );
document.write( "Equation 3: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+%2B+C+=+94 ALIGN=MIDDLE  ALT=\"A+%2B+B+%2B+C+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+%2B+26+%2B+44+=+94 ALIGN=MIDDLE  ALT=\"24+%2B+26+%2B+44+=+94\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2894+=+94%29 ALIGN=MIDDLE  ALT=\"highlight%2894+=+94%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );