document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11175>Question 11175</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three chickens were weighed in pairs.  The first pair weighed in at 10.6 kilograms, the second pair weighted 8.5 kg, and the third pair weighed 6.1 kg.\r<BR>\n" );
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document.write( "How much would the scale read if all three chickens were weighed at the same time?\r<BR>\n" );
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document.write( "How much does each chicken weigh? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5832 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the weight of the 1st chicken = x, the weight of the 2nd = y, and the weight of the 3rd = z.\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+10.6 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+10.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+z+=+8.5 ALIGN=MIDDLE  ALT=\"y+%2B+z+=+8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+z+=+6.1 ALIGN=MIDDLE  ALT=\"x+%2B+z+=+6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we need to solve for x, y, and z.  We have a system of three equations with three unknowns.\r<BR>\n" );
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document.write( "Let's rewrite two of the three equation and substitute into the third one.\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+10.6 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+10.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > rewrite as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10.6+-+y ALIGN=MIDDLE  ALT=\"x+=+10.6+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%2B+z+=+8.5 ALIGN=MIDDLE  ALT=\"y+%2B+z+=+8.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > rewrite as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+8.5+-+y ALIGN=MIDDLE  ALT=\"z+=+8.5+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Substitute these into the 3rd equation and solve for y.\r<BR>\n" );
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document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+z+=+6.1 ALIGN=MIDDLE  ALT=\"x+%2B+z+=+6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810.6+-+y%29+%2B+%288.5+-+y%29+=+6.1 ALIGN=MIDDLE  ALT=\"%2810.6+-+y%29+%2B+%288.5+-+y%29+=+6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19.1+-+2y+=+6.1 ALIGN=MIDDLE  ALT=\"19.1+-+2y+=+6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 2y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19.1+=+2y+%2B+6.1 ALIGN=MIDDLE  ALT=\"19.1+=+2y+%2B+6.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6.1 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13+=+2y ALIGN=MIDDLE  ALT=\"13+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+6.5 ALIGN=MIDDLE  ALT=\"y+=+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the rewritten equation 1):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10.6+-+y ALIGN=MIDDLE  ALT=\"x+=+10.6+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+10.6+-+6.5 ALIGN=MIDDLE  ALT=\"x+=+10.6+-+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.1 ALIGN=MIDDLE  ALT=\"x+=+4.1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the rewritten equation 2):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+8.5+-+y ALIGN=MIDDLE  ALT=\"z+=+8.5+-+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+8.5+-+6.5 ALIGN=MIDDLE  ALT=\"z+=+8.5+-+6.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+2 ALIGN=MIDDLE  ALT=\"z+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The chickens weigh 4.1 kgs, 6.5 kgs, and 2 kgs.\r<BR>\n" );
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document.write( "The three chickens would together, weigh x + y + z or 4.1 + 6.5 + 2 = 12.6 kgs.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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