document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=722233>Question 722233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A 85cm long rod is cut into 3 pieces. The longest piece is 3 times as long as the shortest piece and 13 cm longer than the remaining piece. What is the length of the longest piece? \r<BR>\n" );
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document.write( "Please help! I dont know how to do the question but the answer is in the back of the book! My teacher didnt have time to explain how to do these types of questions<BR>\n" );
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 #442693 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=442693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let s, m and l represent the short, middle and long pieces, respectively<BR>\n" );
document.write( "We have the following equations<BR>\n" );
document.write( "s + m + l = 85 [sum of lengths]<BR>\n" );
document.write( "l = 3s [longest three times as long as shortest]<BR>\n" );
document.write( "l = m + 13 [longest is 13 cm longer than the middle piece]<BR>\n" );
document.write( "Substitute l = 3s into the 1st and 3rd equation<BR>\n" );
document.write( "s + m + 3s = 85<BR>\n" );
document.write( "3s = m + 13 -> m = 3s - 13<BR>\n" );
document.write( "s + (3s-13) + 3s = 85<BR>\n" );
document.write( "7s = 98<BR>\n" );
document.write( "s = 14<BR>\n" );
document.write( "So l = 3s = 3*14 = 42<BR>\n" );
document.write( "The longest piece is 42 cm </SPAN>\n" );
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