document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=96100>Question 96100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer buys 100 live animals for $100.  How many of each doe she buy if chicks are .10 each, pigs are 42 and sheep are $5 each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69975 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=69975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think there is typo here; pigs are not 42, I assume you meant pigs are $2\r<BR>\n" );
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document.write( "Let c = no. of chicks; p = no. of pigs; s = no. sheep<BR>\n" );
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document.write( "A farmer buys 100 live animals for $100.<BR>\n" );
document.write( "No. of animals equation:<BR>\n" );
document.write( " c + p + s  = 100<BR>\n" );
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document.write( "How many of each does she buy if chicks are .10 each, pigs are 42 and sheep are $5 each?<BR>\n" );
document.write( "the $$ equation:<BR>\n" );
document.write( ".10c + 2p + 5s = 100<BR>\n" );
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document.write( "We have two equations but 3 unknowns, however,<BR>\n" );
document.write( "We know there has to be a lot of chicks and the<BR>\n" );
document.write( "number of chicks must equal a multiple of 10, like 60, 70, 80<BR>\n" );
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document.write( "Assume there are 70 chicks, they're worth $7, our two equations then:<BR>\n" );
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document.write( "p + s = 100 - 70<BR>\n" );
document.write( "p + s =  30<BR>\n" );
document.write( "and<BR>\n" );
document.write( "2p + 5s = 100 - 7<BR>\n" );
document.write( "2p + 5s = 93<BR>\n" );
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document.write( "Multiply the 1st equation by 2 and subtract it from the 2nd equation:<BR>\n" );
document.write( "2p + 5s = 93<BR>\n" );
document.write( "2p + 2s = 60<BR>\n" );
document.write( "---------------- subtracting eliminates p<BR>\n" );
document.write( "0p + 3s = 33<BR>\n" );
document.write( "s = 33/3<BR>\n" );
document.write( "s = 11 sheep<BR>\n" );
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document.write( "Find p<BR>\n" );
document.write( "p + 11 = 30<BR>\n" );
document.write( "p = 30 - 11<BR>\n" );
document.write( "p = 19 pigs<BR>\n" );
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document.write( "c = 70 chicks (assumed)<BR>\n" );
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document.write( "Check using the $$ equation:<BR>\n" );
document.write( ".10(70) + 2(19) + 5(11) = <BR>\n" );
document.write( " 7 + 38  + 55 = 100<BR>\n" );
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document.write( " </SPAN>\n" );
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