document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145804>Question 145804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a verbal question that has to do with Quadratic Equations.\r<BR>\n" );
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document.write( "Suppose 5 bales of hay are weighed 2 at a time in all possible ways. The weights in pounds are 110, 112, 113, 114, 115, 116, 117, 118, 120, and 121. How much does each of the 5 bales weigh?\r<BR>\n" );
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document.write( "I'd appreciate any help with this problem. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106414 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106414\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> call the bales (in order of increasing weight) A, B, C, D, E\r<BR>\n" );
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document.write( "the lowest and highest weights are the 2 lightest and 2 heaviest respectively<BR>\n" );
document.write( "__ A+B=110 __ D+E=121\r<BR>\n" );
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document.write( "the 2nd lowest is the lightest bale with the middle bale __ A+C=112\r<BR>\n" );
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document.write( "the 2nd highest is the heaviest bale with the middle bale __ C+E=120\r<BR>\n" );
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document.write( "every bale is weighed with each of the other 4 bales, so every bale is weighed 4 times<BR>\n" );
document.write( "__ this means that the sum of the weights is 4 times the sum of the weights of the individual bales\r<BR>\n" );
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document.write( "A+B+C+D+E=(110+112+113+114+115+116+117+118+120+121)/4 __ A+B+C+D+E=289\r<BR>\n" );
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document.write( "substituting __ 110+C+121=289 __ C=58\r<BR>\n" );
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document.write( "substituting __ A+58=112 __ A=54\r<BR>\n" );
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document.write( "substituting __ 54+B=110 __ B=56\r<BR>\n" );
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document.write( "substituting __ 58+E=120 __ E=62\r<BR>\n" );
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document.write( "substituting __ D+62=121 __ D=59 </SPAN>\n" );
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