document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210636>Question 1210636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 portions of metal chain has the following description:\r<BR>\n" );
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document.write( "Circular links, all same size, .5 inches in thickness.\r<BR>\n" );
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document.write( "Chain A:  3 feet in length.\r<BR>\n" );
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document.write( "Chain B:  22 inches in length.\r<BR>\n" );
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document.write( "One portion contained 6 links more than the other.\r<BR>\n" );
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document.write( "Calculate number of links in each chain.\r<BR>\n" );
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document.write( "Not sure how to solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854587 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13367)</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=854587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the \"inside\" length in inches of each link.<br><BR>\n" );
document.write( "Since the thickness of the links is .5 inches, the length of a \"chain\" of 1 link is (x+1) inches.<br><BR>\n" );
document.write( "Adding each new link increases the total length of the chain by x inches, so the length of a chain of 2 links is (2x+1) inches,  the length of a chain of 3 links is (3x+1) inches,... and the length of a chain of n links is (nx+1) inches.<br><BR>\n" );
document.write( "The longer chain in the problem contains 6 more links than the shorter chain, so the difference in the lengths of the two chains is 6x.<br><BR>\n" );
document.write( "Since the longer chain is 14 inches longer than the shorter chain...<br><BR>\n" );
document.write( "6x = 14<BR>\n" );
document.write( "x = 14/6 = 7/3<br><BR>\n" );
document.write( "The length of the shorter chain is 22 inches.  To find the number of links in that chain...<br><BR>\n" );
document.write( "nx+1 = 22<BR>\n" );
document.write( "n(7/3)+1 = 22<BR>\n" );
document.write( "(7/3)n = 21<BR>\n" );
document.write( "n = 21/(7/3) = 9<br><BR>\n" );
document.write( "ANSWERS: The number of links in the shorter chain is 9; the number in the longer chain is 9+6 = 15<br>\r<BR>\n" );
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