document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914235>Question 914235</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bird laid a certain number of eggs in a nest, and a collector took away two- thirds of them. The bird laid dome more, and another collector took. Two-thirds of them<BR>\n" );
document.write( " If the bird laid 12 eggs altogther and collectors took 10 altogether. How many eggs were there<BR>\n" );
document.write( " to begin<BR>\n" );
document.write( " with?<BR>\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 #554991 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=554991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of eggs to begin with<BR>\n" );
document.write( "Collectors took 2/3, so there is 1/3 left, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2Ax+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2Ax+\"   DISABLED_style= \"max-width:90%; height:auto;\" > eggs left<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the extra eggs the bird then laid<BR>\n" );
document.write( "the collectors took 2/3, so there are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%28+%281%2F3%29%2Ax+%2B+y+%29+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%28+%281%2F3%29%2Ax+%2B+y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > eggs left<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "The bird laid 12 total eggs and<BR>\n" );
document.write( "collectors took 10 total, so there are <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+-+10+=+2+ ALIGN=MIDDLE  ALT=\"+12+-+10+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > left at the end, so<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%28+%281%2F3%29%2Ax+%2B+y+%29+=+2+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%28+%281%2F3%29%2Ax+%2B+y+%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2Ax+%2B+y+=+6+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2Ax+%2B+y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+18+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "I also know that <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+12+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+18+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x+-+y+=+-12+ ALIGN=MIDDLE  ALT=\"+-x+-+y+=+-12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2y+=+6+ ALIGN=MIDDLE  ALT=\"+2y+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3+ ALIGN=MIDDLE  ALT=\"+y+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+12+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+9+ ALIGN=MIDDLE  ALT=\"+x+=+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There were 9 eggs to begin with<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "Collectors took 2/3, so they <BR>\n" );
document.write( "took 6 and 3 were left<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The bird laid 3 more, so bird <BR>\n" );
document.write( "then had 6 eggs<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Collectors took 2/3, or 4 eggs,<BR>\n" );
document.write( "so 2 were left<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Bird laid <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%2B+3+=+12+ ALIGN=MIDDLE  ALT=\"+9+%2B+3+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > eggs<BR>\n" );
document.write( "Collectors took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+%2B+4+=+10+ ALIGN=MIDDLE  ALT=\"+6+%2B+4+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > eggs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > eggs were left<BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );