document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011499>Question 1011499</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brainstorming !! I send a famer to buy 100 animals with $100.00 dollars,how many off each he can buy? Ducks $10 each, pigs $3.00 each, chicks .50¢ each?? <BR>\n" );
document.write( "2 possible answers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627157 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "C+D+P=100<BR>\n" );
document.write( "C=100-D-P\r<BR>\n" );
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document.write( "$10D+$3P+$0.50C=$100<BR>\n" );
document.write( "$10D+$3P+$0.50(100-D-P)=$100<BR>\n" );
document.write( "$10D+$3P+$50-$0.50D-$0.50P=$100<BR>\n" );
document.write( "$9.5D+$2.5P=$50<BR>\n" );
document.write( "$19D+$5P=$100<BR>\n" );
document.write( "$5P=$100-$19D<BR>\n" );
document.write( "P=20-(19D/5)<BR>\n" );
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document.write( "Since we know P must be a positive integer (or zero,<BR>\n" );
document.write( "no partial pigs), we know 19D/5 must be a<BR>\n" );
document.write( "positive integer (or zero), so 19D must be evenly divisible <BR>\n" );
document.write( "by 5. (i.e. , D must be a multiple of 5 - or zero)<BR>\n" );
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document.write( "For D=0:<BR>\n" );
document.write( "P=20-19(0)/5=20-0=20<BR>\n" );
document.write( "We have 20 pigs and no ducks.<BR>\n" );
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document.write( "For D=5:<BR>\n" );
document.write( "P=20-(19(5)/5)=20-19=1<BR>\n" );
document.write( "We have 1 pig and 5 ducks.<BR>\n" );
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document.write( "For D=10:<BR>\n" );
document.write( "P=20-(19(10)/5)=20-38=-18<BR>\n" );
document.write( "Since P is negative,  this cannot be a solution<BR>\n" );
document.write( "(no negative pigs, no anti-pigs)<BR>\n" );
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document.write( "So we have either 20 pigs and no ducks or 1 pig and 5 ducks.<BR>\n" );
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document.write( "For P=20, D=0:<BR>\n" );
document.write( "C=100-D-P<BR>\n" );
document.write( "C=100-0-20<BR>\n" );
document.write( "C=80<BR>\n" );
document.write( "ANSWER 1: We have 80 chicks, 20 pigs, and no ducks.<BR>\n" );
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document.write( "For P=1, D=5:<BR>\n" );
document.write( "C=100-D-P<BR>\n" );
document.write( "C=100-1-5<BR>\n" );
document.write( "C=94<BR>\n" );
document.write( "ANSWER 2: We have 94 chicks, 1 pig, and 5 ducks.<BR>\n" );
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document.write( "CHECK 1:<BR>\n" );
document.write( "C=80; P=20; D=0<BR>\n" );
document.write( "$0.50C+$3P+$10D=$100<BR>\n" );
document.write( "$0.50(80)+$3(20)+$10(0)=$100<BR>\n" );
document.write( "$40+$60=$100<BR>\n" );
document.write( "$100=$100<BR>\n" );
document.write( "Answer 1 checks.<BR>\n" );
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document.write( "CHECK 2:<BR>\n" );
document.write( "C=94; P=1; D=5<BR>\n" );
document.write( "$0.50C+$3P+$10D=$100<BR>\n" );
document.write( "$0.50(94)+$3(1)+$10(5)=$100<BR>\n" );
document.write( "$47+$3+$50=$100<BR>\n" );
document.write( "$100=$100<BR>\n" );
document.write( "Answer 2 checks, so we have our two solutions.<BR>\n" );
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