document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74952>Question 74952</A>: <I><SPAN STYLE=\"word-break: break-all;\"> on farm there are 77 animals, all horses and hens.  the 77 animals have a total of 262 legs. how many horses and hens are there? justify your answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53926 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=53926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let h represent the number of horses and c (for chickens) represent the number of hens.<BR>\n" );
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document.write( "The problem tells us that the total group of horses and hens is comprised of 77 animals. So<BR>\n" );
document.write( "we can write:<BR>\n" );
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document.write( "h + c = 77<BR>\n" );
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document.write( "We know that the total number of legs on these 77 animals is 262.  Since a horse has 4 legs<BR>\n" );
document.write( "the total number of legs from the horses is 4 times the number of horses or 4*h.  Similarly <BR>\n" );
document.write( "the total number of legs on chickens is 2 legs per bird times the numbers of birds.  These <BR>\n" );
document.write( "have to add together and equal 262.  The  equation for this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ah+%2B+2%2Ac+=+262 ALIGN=MIDDLE  ALT=\"4%2Ah+%2B+2%2Ac+=+262\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Using our first equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Bc=77 ALIGN=MIDDLE  ALT=\"h%2Bc=77\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can subtract h from both sides so that the<BR>\n" );
document.write( "equation becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+77+-h ALIGN=MIDDLE  ALT=\"c+=+77+-h\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Shove the right side of this equation into the equation<BR>\n" );
document.write( "that involves the leg amounts and you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ah+%2B+2%2A%2877-h%29+=+262 ALIGN=MIDDLE  ALT=\"4%2Ah+%2B+2%2A%2877-h%29+=+262\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply on the left side to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ah+%2B+154+-+2%2Ah+=+262 ALIGN=MIDDLE  ALT=\"4%2Ah+%2B+154+-+2%2Ah+=+262\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Subtract 154 from both sides to eliminate it on the left side to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Ah+-+2%2Ah+=+108 ALIGN=MIDDLE  ALT=\"4%2Ah+-+2%2Ah+=+108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the two terms for the horses to get:<BR>\n" );
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document.write( "2h = 108.<BR>\n" );
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document.write( "Divide both sides by 2 and get that the number of horses, h, is 54.  And since horses and<BR>\n" );
document.write( "chickens must total to 77, there must be 23 hens.<BR>\n" );
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document.write( "Hope this helps you to greater understanding of these type of problems. </SPAN>\n" );
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