document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159791>Question 159791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> thier are rabits and chiken in the farrm. then the farmer count all his animals and resulted with a sum100 (counting  both heads and feets). how many animals chicken and rabits are thier? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117894 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=117894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of rabbits<BR>\n" );
document.write( "And y=number of chickens\r<BR>\n" );
document.write( "\n" );
document.write( "Now we are told that:\r<BR>\n" );
document.write( "\n" );
document.write( "5x+3y=100 or<BR>\n" );
document.write( "3y=100-5x<BR>\n" );
document.write( "y=(100-5x)/3-------------------------------------eq1\r<BR>\n" );
document.write( "\n" );
document.write( "Now we know the following about this problem:<BR>\n" );
document.write( "(1) We can't have fractional parts of rabbits or chickens---we deal in whole numbers<BR>\n" );
document.write( "(2) We can't have negative rabbits or chickens<BR>\n" );
document.write( "(3) We can't have zero rabbits or chickens (if we have zero chickens, we have fractional rabbits and if we have zero rabbits, we have fractional chickens)\r<BR>\n" );
document.write( "\n" );
document.write( "From eq1, the number of rabbits has to be less than 20, otherwise we either have negative rabbits or zero rabbits.  So now we start trial and error:<BR>\n" );
document.write( "Looking at eq1, we see that:<BR>\n" );
document.write( "if x=2 then y=30<BR>\n" );
document.write( "if x=5 then y=25<BR>\n" );
document.write( "if x=8 then y=20<BR>\n" );
document.write( "if x=11 then y=15<BR>\n" );
document.write( "if x=14 then y=10<BR>\n" );
document.write( "if x=17 then y=5\r<BR>\n" );
document.write( "\n" );
document.write( "SPOT CK<BR>\n" );
document.write( "if x=8, then y=20<BR>\n" );
document.write( "8*5+20*3=100<BR>\n" );
document.write( "40+60=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( "if x=2 then y=30<BR>\n" );
document.write( "5*2+3*30=100<BR>\n" );
document.write( "10+90=100<BR>\n" );
document.write( "100=100<BR>\n" );
document.write( "etc.\r<BR>\n" );
document.write( "\n" );
document.write( "So, we have lots of answers on this one which is not uncommon when we have more unknowns than equations.\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );