document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953643>Question 953643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I've tried to answer this question, but i get one positive solution for apples, and negative solutions for orange & pears, which given the context of the problem, doesn't make sense (for question #1) ).   \r<BR>\n" );
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document.write( "> Apple is made up of 20mg zinc, 30mg potassium & 15mg Radium<BR>\n" );
document.write( "> Orange is made up of 20mg zinc, 50mg potassium & 10mg radium<BR>\n" );
document.write( "> Pear is made up of 20mg zinc, 10mg potassium, & 10mg radium\r<BR>\n" );
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document.write( "question #1: you need 115mg zinc, 120mg potassium, 110mg of radium everyday, so how many of each fruit should you eat?\r<BR>\n" );
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document.write( "question #2: How many of each fruit do you eat if the mg of zinc in each fruit is cut by 1/2 ?\r<BR>\n" );
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document.write( "For #1, I set it up as follows:<BR>\n" );
document.write( "FRUIT       Apple      Orange    Pear<BR>\n" );
document.write( "Zinc         20          20       20 <BR>\n" );
document.write( "Potassium    30          50       10<BR>\n" );
document.write( "Radium       15          10       10 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582468 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=582468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need a column for question #1, 115,120,110.  Try to set up the system of equations first, if that will help you arrange all the necessary elements.\r<BR>\n" );
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document.write( "Initially, E1 is for zince E2 for potassium, E3 for Radium.\r<BR>\n" );
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document.write( "20, 20, 20, 115<BR>\n" );
document.write( "30, 50, 10, 10<BR>\n" );
document.write( "15, 10, 10, 110\r<BR>\n" );
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document.write( "Try starting with some work between E2 and E3.  Subtract half of E2 from one of E3 and revise E3....\r<BR>\n" );
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document.write( "Every element can be divided by 5 and you get this matrix:\r<BR>\n" );
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document.write( "4, 4, 4, 23<BR>\n" );
document.write( "3, 5, 1, 1<BR>\n" );
document.write( "3, 2, 2, 22\r<BR>\n" );
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document.write( "( <s>I did not yet take further steps with the matrix</s>).\r<BR>\n" );
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document.write( "I worked through the matrix, and find Pears, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F16 ALIGN=MIDDLE  ALT=\"27%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >,   Oranges, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-103%2F16 ALIGN=MIDDLE  ALT=\"-103%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   I'm with you.  Negative number cannot happen.  Problem description is bad.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Final matrix was of this form:<BR>\n" );
document.write( "4,4, 4, 23<BR>\n" );
document.write( "0, 8, -8, -65<BR>\n" );
document.write( "0, 0, 1, 27/16 </SPAN>\n" );
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