document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935409>Question 935409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On Saturday morning, Mr. Brown often goes to the public market for fresh produce. He spent 1/4 of his money on vegetables, 1/2 of the remaining money on fruit, and 1/3 of the remaining money on cheese Mr. Brown had $12 when he finished. Work backwards to find how much money he had when he started. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568605 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = original amount<BR>\n" );
document.write( "y = amount spent on vegetables<BR>\n" );
document.write( "z = amount spent on fruit<BR>\n" );
document.write( "u = amount spent on cheese<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = x/4<BR>\n" );
document.write( "z = (x - y)/2<BR>\n" );
document.write( "u = (x - y - z)/3<BR>\n" );
document.write( "x - y - z - u = 12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x - 4y = 0<BR>\n" );
document.write( "x - y - 2z = 0<BR>\n" );
document.write( "x - y - z - 3u = 0<BR>\n" );
document.write( "x - y - z - u = 12<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = original amount = 48<BR>\n" );
document.write( "y = amount spent on vegetables = 12<BR>\n" );
document.write( "z = amount spent on fruit = 18<BR>\n" );
document.write( "u = amount spent on cheese = 6<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );