document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165699>Question 1165699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A  farmer buys 100 animals for $100 total.  The animals include at least 1 cow, 1 pig and 1 chicken.  A cow costs $10, a pig costs $3 and a chicken costs $0.50.  If the farmer buys 5 times as many cows as pigs, how many of each animal does he buy?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790166 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A farmer buys 100 animals for $100 total. The animals include at least 1 cow, 1 pig and 1 chicken. <BR>\n" );
document.write( "A cow costs $10, a pig costs $3 and a chicken costs $0.50. If the farmer buys 5 times as many cows as pigs, how many of each animal does he buy?<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x be the number of pigs.\r\n" );
document.write( "\r\n" );
document.write( "Then the number of cows is 5x  and the number of chicken is 100-x-5x = 100-6x.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the total money equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    10*(5x) + 3*x + 0.50*(100-6x) = 100  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    50x + 3x + 50 - 3x = 100\r\n" );
document.write( "\r\n" );
document.write( "    50x = 50\r\n" );
document.write( "\r\n" );
document.write( "    x = 50/50 = 1 is the number of pigs.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "<U>ANSWER</U>.  1 pig, 5 cows and 100-1-5 = 94 chicken.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Solved.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A miracle is that this problem can be solved using one single equation in one single unknown.\r<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" );