document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104013>Question 104013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A fabric store worker has a 57 yard bolt of cloth which is to be cut into three lengths.  The length of the second piece is 5 yards shorter than twice the length of the first.  The length of the third piece is 2 yards longer than twice the length of the second.  Find the length of 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 #75697 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=75697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the length of the first piece x<BR>\n" );
document.write( "Given: the length of the second piece is 5 yards shorter than twice the length of the first.<BR>\n" );
document.write( "Now write an expression to describe the second piece in terms of x<BR>\n" );
document.write( "remember the length of the first piece is x<BR>\n" );
document.write( "length of the second piece = 2x-5<BR>\n" );
document.write( "Ok now lets look at the third piece<BR>\n" );
document.write( "Given: the length of the third piece is 2 yards longer than twice the length of the second.<BR>\n" );
document.write( "Now since we have just shown that the second piece is 2x-5 we can use that to write and expression that describes the length of the third piece.<BR>\n" );
document.write( "length of the third piece = 2(2x-5)+2<BR>\n" );
document.write( "Ok lets look at what we have so far:<BR>\n" );
document.write( "length of first = x<BR>\n" );
document.write( "length of second = 2x-5<BR>\n" );
document.write( "length of third = 2(2x-5)+2<BR>\n" );
document.write( "Now we are also given: A fabric store worker has a 57 yard bolt of cloth<BR>\n" );
document.write( "So this tell us that all three lengths of cloth add up to 57 yards<BR>\n" );
document.write( "Now we can write and equation to solve for x<BR>\n" );
document.write( "(x) + (2x-5) + (2(2x-5)+2) = 57<BR>\n" );
document.write( "(x) + (2x-5) + (4x-10+2) = 57<BR>\n" );
document.write( "x + 2x - 5 + 4x - 10 + 2 = 57<BR>\n" );
document.write( "7x - 13 = 57<BR>\n" );
document.write( "7x = 57 + 13<BR>\n" );
document.write( "7x = 70<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "<b>The length of the first piece is 10 yards.</b><BR>\n" );
document.write( "use this to find the lengths of the other pieces<BR>\n" );
document.write( "length of second = 2x-5<BR>\n" );
document.write( "length of second = 2(10)-5<BR>\n" );
document.write( "length of second = 20-5<BR>\n" );
document.write( "length of second = 15<BR>\n" );
document.write( "<b>The length of the second piece is 15 yards.</b><BR>\n" );
document.write( "length of third = 2(2x-5)+2<BR>\n" );
document.write( "length of third = 2(2(10)-5)+2<BR>\n" );
document.write( "length of third = 2(20-5)+2<BR>\n" );
document.write( "length of third = 2(15)+2<BR>\n" );
document.write( "length of third = 30+2<BR>\n" );
document.write( "length of third = 32<BR>\n" );
document.write( "<b>The length of the third piece is 32 yards.</b><BR>\n" );
document.write( "Check answers<BR>\n" );
document.write( "The three pieces of cloth should add up to 57 yards<BR>\n" );
document.write( "10 + 15 + 32 = 57<BR>\n" );
document.write( "57 = 57\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );