document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755394>Question 755394</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trudy went to the arcade at the state fair to win some goldfish. she already had some at home, but she wanted more. Right away, trudy won enough goldfish to double her stock. however, her mom made her give four to her cousin. she put her new ones in the fish tank with the others, but the next morning, half of her goldfish had died. trudys friend kim gave her six more. unfortunetly the next morning two-thirds of her goldfish had died. trudy gave one to her neighbor and then she was left with 2. how many goldfish did trudy start with?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459670 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=459670\">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;\" > = the number of goldfish she <BR>\n" );
document.write( "has at home<BR>\n" );
document.write( "After winning some at the fair she then has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+ ALIGN=MIDDLE  ALT=\"+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > goldfish<BR>\n" );
document.write( "After giving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to her cousin, she has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+4+ ALIGN=MIDDLE  ALT=\"+2x+-+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Half of her fish died, so now she has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+2x+-+4+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+%28+2x+-+4+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > goldfish<BR>\n" );
document.write( "Trudy's friend kim gave her six more, so then she has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28+2x+-+4+%29+%2F+2+%2B+6+ ALIGN=MIDDLE  ALT=\"++%28+2x+-+4+%29+%2F+2+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > goldfish<BR>\n" );
document.write( "The next morning two-thirds of her goldfish had died, so she has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > left<BR>\n" );
document.write( "She gave one to her neighbor, so then she has<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+-+1+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+-+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "She has 2 goldfish left, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+-+1+=+2+ ALIGN=MIDDLE  ALT=\"+%281%2F3%29%2A%28+%28+2x+-+4+%29+%2F+2+%2B+6+%29+-+1+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28+2x+-+4+%29+%2F+2+%2B+6++-+3+=+6+ ALIGN=MIDDLE  ALT=\"++%28+2x+-+4+%29+%2F+2+%2B+6++-+3+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28+2x+-+4+%29+%2F+2+=+3+ ALIGN=MIDDLE  ALT=\"++%28+2x+-+4+%29+%2F+2+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+4+=+6+ ALIGN=MIDDLE  ALT=\"+2x+-+4+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+10+ ALIGN=MIDDLE  ALT=\"+2x+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5+ ALIGN=MIDDLE  ALT=\"+x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Trudy started with 5 goldfish at home<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "After the arcade, she has 10<BR>\n" );
document.write( "After giving 4 to her cousin, she has 6<BR>\n" );
document.write( "After half died, she has 3<BR>\n" );
document.write( "After her friend gives her 6, she has 9<BR>\n" );
document.write( "After 2/3 of them die, she has 1/3 or 3 left<BR>\n" );
document.write( "She gave 1 to her neighbor and has 2 left<BR>\n" );
document.write( "OK \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );