document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281733>Question 281733</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Farmer wants to buy cows, pigs and chickens. He has $100 and wants to buy total of 100 combined animals. Cows are $10. Pigs are $3. Chickens are $.50. How many of each animal should he buy to get 100 total animals for $100? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204676 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of cows<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of pigs<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of chickens<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10c+%2B+3p+%2B+%281%2F2%29%2Ak+=+100 ALIGN=MIDDLE  ALT=\"10c+%2B+3p+%2B+%281%2F2%29%2Ak+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+%2B+p+%2B+k+=+100 ALIGN=MIDDLE  ALT=\"c+%2B+p+%2B+k+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 2 equations and 3 unknowns, so it<BR>\n" );
document.write( "can't be solved directly. but you can get there<BR>\n" );
document.write( "There can't be all cows- that would be<BR>\n" );
document.write( "only 10 animals for $100<BR>\n" );
document.write( "There can't be all pigs- that would be<BR>\n" );
document.write( "33 animals for $99<BR>\n" );
document.write( "Say there are 50 chickens and 50 pigs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+50 ALIGN=MIDDLE  ALT=\"k+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A50+=+25 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A50+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+50 ALIGN=MIDDLE  ALT=\"p+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A50+=+150 ALIGN=MIDDLE  ALT=\"3%2A50+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's $175 for 100 animals. There must be more<BR>\n" );
document.write( "chickens than pigs<BR>\n" );
document.write( "Let's say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+60 ALIGN=MIDDLE  ALT=\"k+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A60+=+30 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A60+=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+40 ALIGN=MIDDLE  ALT=\"p+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A40+=+120 ALIGN=MIDDLE  ALT=\"3%2A40+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's $150 for 100 animals<BR>\n" );
document.write( "I have to run, but keep going and you'll get it<BR>\n" );
document.write( "You must have at least 1 cow, too\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );