document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=585374>Question 585374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Should this all be converted to decimals? Unable to solve this one.\r<BR>\n" );
document.write( "\n" );
document.write( "Mark's weight is 110% of Steve's weight.<BR>\n" );
document.write( "The ratio of Joseph's weight to Tim's weight is 10 : 11.<BR>\n" );
document.write( "The ratio of Carl's weight to Mark's weight is 6 : 7.<BR>\n" );
document.write( "Carl's weight is 120% of Joseph's weight.  Who weighs the least? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #373312 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=373312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let their weights =<BR>\n" );
document.write( "Mark's =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+ ALIGN=MIDDLE  ALT=\"+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Steve's =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Joseph's =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j+ ALIGN=MIDDLE  ALT=\"+j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Tim's =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Carl's =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "To convert decimals, move decimal point<BR>\n" );
document.write( "2 places to the left<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+1.1s+ ALIGN=MIDDLE  ALT=\"+m+=+1.1s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+j%2Ft+=+10%2F11+ ALIGN=MIDDLE  ALT=\"+j%2Ft+=+10%2F11+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%2Fm+=+6%2F7+ ALIGN=MIDDLE  ALT=\"+c%2Fm+=+6%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+1.2j+ ALIGN=MIDDLE  ALT=\"+c+=+1.2j+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Normally you couldn't solve this for all <BR>\n" );
document.write( "their weights because there are 5 unknowns<BR>\n" );
document.write( "and only 4 equations.<BR>\n" );
document.write( "They only want the one who weighs the least,<BR>\n" );
document.write( "so I can find that.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "(3) tells me Mark weighs more than Carl<BR>\n" );
document.write( "(4) tells me Carl weighs more than Joseph<BR>\n" );
document.write( "So far the order is<BR>\n" );
document.write( "Mark <BR>\n" );
document.write( "Carl<BR>\n" );
document.write( " Joseph<BR>\n" );
document.write( "Now substitute (1) into (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%2Fm+=+6%2F7+ ALIGN=MIDDLE  ALT=\"+c%2Fm+=+6%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%2F%281.1s%29+=+6%2F7+ ALIGN=MIDDLE  ALT=\"+c%2F%281.1s%29+=+6%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7c+=+6%2A1.1s+ ALIGN=MIDDLE  ALT=\"7c+=+6%2A1.1s+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c%2Fs+=+%286.6%2F7%29+ ALIGN=MIDDLE  ALT=\"+c%2Fs+=+%286.6%2F7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, Steve weighs more than Carl, but (1) <BR>\n" );
document.write( "says Mark weighs more than steve, so<BR>\n" );
document.write( "the order now is<BR>\n" );
document.write( "Mark<BR>\n" );
document.write( "Steve<BR>\n" );
document.write( "Carl<BR>\n" );
document.write( "Joseph<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "(2) says Tim weighs more than Joseph<BR>\n" );
document.write( "No matter where Tim fits in, Joseph Has<BR>\n" );
document.write( "to weigh the least<BR>\n" );
document.write( "Hope I got it </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );