document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887874>Question 887874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 120 foot long rope is cut into 3 pieces. The first rope is twice as long as the second piece of rope. the third piece of rope is 3 times as long as the 2nd piece of rope. What is the length of the longest piece of rope. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536896 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=536896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the pieces be a,b,c. then we have<BR>\n" );
document.write( "(1) a + b + c = 120 and<BR>\n" );
document.write( "(2) a = 2b<BR>\n" );
document.write( "(3) c = 3b<BR>\n" );
document.write( "Put (2) and (3) into (1) and get<BR>\n" );
document.write( "(4) 2b + b + 3b = 120 or<BR>\n" );
document.write( "(5) 6b = 120 or<BR>\n" );
document.write( "(6) b = 20<BR>\n" );
document.write( "Then from (2) and (3) we get<BR>\n" );
document.write( "(7) a = 40 and<BR>\n" );
document.write( "(8) c = 60<BR>\n" );
document.write( "Let's check this with (1).<BR>\n" );
document.write( "Is (40 + 20 + 60 = 120)?<BR>\n" );
document.write( "Is (120 = 120)? Yes<BR>\n" );
document.write( "Answer; The length of the longest piece of rope is 60ft. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );