document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460756>Question 460756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "A 210 ft. long rope is cut into 3 pieces.  The first piece is 3 times as long as the second piece.  The third piece is 2 times as long as the second piece. What is the length of the longest piece of rope?<BR>\n" );
document.write( "a. 70 ft<BR>\n" );
document.write( "b. 90 ft<BR>\n" );
document.write( "c. 105 ft<BR>\n" );
document.write( "d. 110 ft<BR>\n" );
document.write( "e. 140 ft\r<BR>\n" );
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document.write( "Thanks!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316048 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=316048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x, y, and z be the lengths of the three pieces of rope.\r<BR>\n" );
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document.write( "Since \"The first piece is 3 times as long as the second piece\", we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y ALIGN=MIDDLE  ALT=\"x=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "\"The third piece is 2 times as long as the second piece\" tells us that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2y ALIGN=MIDDLE  ALT=\"z=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Now since the three pieces were cut from a 210 ft rope, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bz=210 ALIGN=MIDDLE  ALT=\"x%2By%2Bz=210\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y ALIGN=MIDDLE  ALT=\"x=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2y ALIGN=MIDDLE  ALT=\"z=2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2By%2B2y=210 ALIGN=MIDDLE  ALT=\"3y%2By%2B2y=210\"   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=6y=210 ALIGN=MIDDLE  ALT=\"6y=210\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28210%29%2F%286%29 ALIGN=MIDDLE  ALT=\"y=%28210%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=y=35 ALIGN=MIDDLE  ALT=\"y=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "This means that the second piece is 35 ft long.\r<BR>\n" );
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document.write( "Now plug this into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3y ALIGN=MIDDLE  ALT=\"x=3y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2835%29=105 ALIGN=MIDDLE  ALT=\"x=3%2835%29=105\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the first piece (the longest piece) is 105 ft long.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "The length of the longest piece of rope is 105 ft. So the answer is choice C) </SPAN>\n" );
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