document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986321>Question 986321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two candles have differen lengths and different thickness. the longer one would last 22 hours, and the shorter one would last for 14 hours. both candles are lit simultaneously, and after 6 hours both have the same length remaining . what was the ratio of their original lengths  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607144 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=607144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> two candles have different lengths and different thickness.<BR>\n" );
document.write( " the longer one would last 22 hours, and the shorter one would last for 14 hours.<BR>\n" );
document.write( " both candles are lit simultaneously, and after 6 hours both have the same length remaining.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let a = the length of the 22 hr candle<BR>\n" );
document.write( "let b = the length of the 14 hr candle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find their burn rates in in/hr<BR>\n" );
document.write( "a: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F22 ALIGN=MIDDLE  ALT=\"a%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > in per hr<BR>\n" );
document.write( "b: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F14 ALIGN=MIDDLE  ALT=\"b%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > in per hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find their lengths after 6 hrs<BR>\n" );
document.write( "a: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286a%29%2F22 ALIGN=MIDDLE  ALT=\"%286a%29%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches<BR>\n" );
document.write( "b: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286b%29%2F14 ALIGN=MIDDLE  ALT=\"%286b%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches<BR>\n" );
document.write( "therefore when they are the same length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286a%29%2F22 ALIGN=MIDDLE  ALT=\"%286a%29%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286b%29%2F14 ALIGN=MIDDLE  ALT=\"%286b%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F22 ALIGN=MIDDLE  ALT=\"a%2F22\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F14 ALIGN=MIDDLE  ALT=\"b%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "14a = 22b<BR>\n" );
document.write( "7a = 11b<BR>\n" );
document.write( "equality is maintained when a = 11 and b = 7<BR>\n" );
document.write( ":<BR>\n" );
document.write( " what was the ratio of their original lengths <BR>\n" );
document.write( "a:b length ratio = 11:7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );