document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160102>Question 160102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when young MacDonal was starting his farm a long time ago,cows cost $10 each,pigs cost $3 each and chickens cost $0.50 each. He puechsed at least one of kind of animal. He paid $100 for exatly 100 animals.  HOW MANY CHICKENS DID HE BUY? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118117 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If cows cost $10 each, pigs cost $3 each and chickens cost $0.50 each. He got at<BR>\n" );
document.write( " least one of kind of animal. He paid $100 for exactly 100 animals.<BR>\n" );
document.write( " HOW MANY CHICKENS DID HE BUY?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = no. cows<BR>\n" );
document.write( "y = no. pigs<BR>\n" );
document.write( "z = no. of chickens<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total animal equation<BR>\n" );
document.write( "x + y + z = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total cost equation<BR>\n" );
document.write( "10x + 3y + .5z = 100<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the above equation by 2 and subtract the 1st equation (total animals)<BR>\n" );
document.write( "20x + 6y + 1z = 200<BR>\n" );
document.write( " x  +  y + 1z = 100<BR>\n" );
document.write( "-----------------------subtraction eliminates z<BR>\n" );
document.write( "19x + 5y = 100<BR>\n" );
document.write( "Arrange equation in the general y= form<BR>\n" );
document.write( "5y = 100 - 19x<BR>\n" );
document.write( "y = 20 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F5 ALIGN=MIDDLE  ALT=\"19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x; divided both sides by 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Study this equation and it's apparent the only value for x that will give a<BR>\n" );
document.write( " positive integer value for y,  is x = 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "y = 20 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F5 ALIGN=MIDDLE  ALT=\"19%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*5<BR>\n" );
document.write( "y = 20 - 19<BR>\n" );
document.write( "y = 1 pig<BR>\n" );
document.write( ":<BR>\n" );
document.write( "We have 5 cows, 1 pig<BR>\n" );
document.write( "Find chickens: 100 - 5 - 1 = 94 chickens<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "10(5) + 3(1) + 94(.5) =<BR>\n" );
document.write( "50 + 3 + 47 = 100  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );