document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114865>Question 114865</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0153404566/algebrahomeworkh>Harcourt Math</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A group of goats and ducks have a total of 99 heads and legs among them. There are twice as many ducks as there are goats. How many are there of each? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83550 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g = number of goats<BR>\n" );
document.write( "d = number of ducks\r<BR>\n" );
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document.write( "Each goat has 1 head and 4 legs, so there are 5g heads and legs supplied by the goats.<BR>\n" );
document.write( "Each duck has 1 head and 2 legs, so there are 3d heads and legs supplied by the ducks\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5g%2B3d=99 ALIGN=MIDDLE  ALT=\"5g%2B3d=99\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "We also know that there are twice as many ducks as goats, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2g ALIGN=MIDDLE  ALT=\"d=2g\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5g%2B3%282g%29=99 ALIGN=MIDDLE  ALT=\"5g%2B3%282g%29=99\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11g=99 ALIGN=MIDDLE  ALT=\"11g=99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=9 ALIGN=MIDDLE  ALT=\"g=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so there are 9 goats.  This means that there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=2%2A9=18 ALIGN=MIDDLE  ALT=\"d=2%2A9=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > ducks.\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "9 goat heads<BR>\n" );
document.write( "4 * 9 = 36 goat legs<BR>\n" );
document.write( "18 duck heads<BR>\n" );
document.write( "2 * 18 = 36 duck legs\r<BR>\n" );
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document.write( "9 + 36 + 18 + 36 = 99, Check! </SPAN>\n" );
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