document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047410>Question 1047410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I have a word problem I need help with.<BR>\n" );
document.write( "Four friends have different numbers of cows on their farms. Jorge has 3 times as many cows as Carla. Marcus has half as many cows as Jorge. Dominick has 2 less than 4 times as many cows as Carla. How many cows does each person have if they have a total of 169 cows?\r<BR>\n" );
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document.write( "I'm having a problem with the equations of Marcus and Dominik.And I'm not sure how to write the equations of either of them. But isn't Carla \"X\", and Jorge \" 3X\"?<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #662921 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assign variables that help to make sense of the problem and LITERALLY form the equations the way the description says.  Nothing mysterious.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "PERSON        HOW MANY COWS\r\n" );
document.write( "Jorge           j\r\n" );
document.write( "Carla           c\r\n" );
document.write( "Marcus          m\r\n" );
document.write( "Dominick        d\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Transcribe the description:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28j=3c%2Cm=j%2F2%2Cd=4c-2%2Cj%2Bc%2Bm%2Bd=169%29 ALIGN=MIDDLE  ALT=\"system%28j=3c%2Cm=j%2F2%2Cd=4c-2%2Cj%2Bc%2Bm%2Bd=169%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From here, you have more than one way to go.  Various ways of substituting; or some use of Elimination Method, or matrix row reduction operations.  \r<BR>\n" );
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document.write( "**<BR>\n" );
document.write( "REMOVED SECTION CONTAINING MISTAKE<BR>\n" );
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document.write( "TRY AGAIN              TRYING AGAIN<BR>\n" );
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document.write( "Initial system was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28j=3c%2Cm=j%2F2%2Cd=4c-2%2Cj%2Bc%2Bm%2Bd=169%29 ALIGN=MIDDLE  ALT=\"system%28j=3c%2Cm=j%2F2%2Cd=4c-2%2Cj%2Bc%2Bm%2Bd=169%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Subst for d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28j=3c%2Cj=2m%2Cj%2Bc%2Bm%2B4c-2=169%29 ALIGN=MIDDLE  ALT=\"system%28j=3c%2Cj=2m%2Cj%2Bc%2Bm%2B4c-2=169%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28j=3c%2Cj=2m%2Cj%2B5c%2Bm=169%2B2%29 ALIGN=MIDDLE  ALT=\"system%28j=3c%2Cj=2m%2Cj%2B5c%2Bm=169%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for j.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283c=2m%2C3c%2B5c%2Bm=171%29 ALIGN=MIDDLE  ALT=\"system%283c=2m%2C3c%2B5c%2Bm=171%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283c=2m%2C8c%2Bm=171%29 ALIGN=MIDDLE  ALT=\"system%283c=2m%2C8c%2Bm=171%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subst for m.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=171-8c ALIGN=MIDDLE  ALT=\"m=171-8c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c=2%28171-8c%29 ALIGN=MIDDLE  ALT=\"3c=2%28171-8c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c=342-16c ALIGN=MIDDLE  ALT=\"3c=342-16c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19c=342 ALIGN=MIDDLE  ALT=\"19c=342\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=342%2F19 ALIGN=MIDDLE  ALT=\"c=342%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=18%29 ALIGN=MIDDLE  ALT=\"highlight%28c=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------Use this to find each variable in steps from here.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=171-8c ALIGN=MIDDLE  ALT=\"m=171-8c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=171-8%2A18 ALIGN=MIDDLE  ALT=\"m=171-8%2A18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28m=27%29 ALIGN=MIDDLE  ALT=\"highlight%28m=27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------Another result.\r<BR>\n" );
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document.write( "Keep going for the last two, j and d. </SPAN>\n" );
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