document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163969>Question 1163969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain type of gutter comes in 7-foot, 9-foot, and 11-foot sections. How many different lengths can be formed using three sections of gutter? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788231 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788231\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "All lengths are odd numbers; the sum of three odd numbers is always an odd number.<br><BR>\n" );
document.write( "Minimum length with three pieces: 3*7 feet = 21 feet.<BR>\n" );
document.write( "Maximum length with three pieces: 3*11 feet = 33 feet.<br><BR>\n" );
document.write( "It should be easy to see, by playing with the different lengths -- or by logical reasoning -- that a total length that is any odd number of feet between 21 and 33 inclusive is possible.<br><BR>\n" );
document.write( "ANSWER: 7 different lengths -- 21, 23, 25, 27, 29, 31, and 33 feet.<br><BR>\n" );
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