document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499746>Question 499746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hunter returns with 27 heads and 78 feet.  If he only brought back ducks and rabbits, how many did he bring back of each?  I need help understanding how to write the equation.  I know H=27, F=78, D=?, R=? and each duck has 2 feet and each rabbit has 4 feet?  not sure how to get all this into an equation.  i think it will be multiple equations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337838 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=337838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The \"foot value\" of a duck = 2.<BR>\n" );
document.write( "The \"foot value\" of a rabbit = 4.<BR>\n" );
document.write( "D = number of duck heads<BR>\n" );
document.write( "2D = number of duck feet<BR>\n" );
document.write( "R = number of rabbit heads<BR>\n" );
document.write( "4R = number of rabbit feet<BR>\n" );
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document.write( "D + R = 27 (given)<BR>\n" );
document.write( "2D + 4R = 78 (given)<BR>\n" );
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document.write( "Note that:<BR>\n" );
document.write( "D = 27-R<BR>\n" );
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document.write( "Substitute into second equation to find R.<BR>\n" );
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document.write( "2(27-R) +4R = 78<BR>\n" );
document.write( "54 -2R + 4R = 78<BR>\n" );
document.write( "Collect<BR>\n" );
document.write( "54 +2R = 78<BR>\n" );
document.write( "Subtract 54 from both sides<BR>\n" );
document.write( "2R = 24<BR>\n" );
document.write( "Divide both sides by 2<BR>\n" );
document.write( "R = 12<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "D = 27-12<BR>\n" );
document.write( "D = 15<BR>\n" );
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document.write( "Check the number of feet to be sure this is the answer.<BR>\n" );
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document.write( "15*2 = 30 duck feet<BR>\n" );
document.write( "12*4 = 48 rabbit feet<BR>\n" );
document.write( "Total = 78 feet.<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Re-read the question to be sure to answer.<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "He brought back 12 rabbits and 15 ducks.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );