document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043772>Question 1043772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "2 bottles x and y contain water.from bottle x we pour into bottle y twice as much water as y already contains.we then pour from y into x as much water as x now contains. Both bottles now contain 200ml.how much water was in each bottle initially.\r<BR>\n" );
document.write( "\n" );
document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658952 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=658952\">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;\" > = ml of water in x bottle initially<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;\" > = ml of water in y bottle initially<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(1) <BR>\n" );
document.write( "After 1st step:<BR>\n" );
document.write( "Bottle x has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2y+ ALIGN=MIDDLE  ALT=\"+x+-+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "Bottle y has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+2y+ ALIGN=MIDDLE  ALT=\"+y+%2B+2y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "After 2nd step:<BR>\n" );
document.write( "Bottle x has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+ ALIGN=MIDDLE  ALT=\"+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bottle y has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "I am given that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+=+200+ ALIGN=MIDDLE  ALT=\"+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+=+200+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+4y+=+200+ ALIGN=MIDDLE  ALT=\"+2x+-+4y+=+200+\"   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+%2B+5y+=+200+ ALIGN=MIDDLE  ALT=\"+-x+%2B+5y+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Multiply both sides of (2) 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( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+4y+=+200+ ALIGN=MIDDLE  ALT=\"+2x+-+4y+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-2x+%2B+10y+=+400+ ALIGN=MIDDLE  ALT=\"+-2x+%2B+10y+=+400+\"   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=+6y+=+600+ ALIGN=MIDDLE  ALT=\"+6y+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+100+ ALIGN=MIDDLE  ALT=\"+y+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "If both bottle end up with 200 ml, there has to <BR>\n" );
document.write( "be 400 ml total, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+-+y+=+x+ ALIGN=MIDDLE  ALT=\"+400+-+y+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+-+100+=+x+ ALIGN=MIDDLE  ALT=\"+400+-+100+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+300+ ALIGN=MIDDLE  ALT=\"+x+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Initially, x has 300 ml<BR>\n" );
document.write( "y has 100 ml<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <BR>\n" );
document.write( "After 1st step:<BR>\n" );
document.write( "Bottle x has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+-+2y+=+300+-+2%2A100+ ALIGN=MIDDLE  ALT=\"+x+-+2y+=+300+-+2%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+-+200+=+100+ ALIGN=MIDDLE  ALT=\"+300+-+200+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "Bottle y has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+%2B+2y+=+100+%2B+2%2A100+ ALIGN=MIDDLE  ALT=\"+y+%2B+2y+=+100+%2B+2%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+100+%2B+200+=+300+ ALIGN=MIDDLE  ALT=\"+100+%2B+200+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "After 2nd step:<BR>\n" );
document.write( "Bottle x has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+=+%28+325+-+2%2A75+%29+%2B+%28+325+-+2%2A75%29+ ALIGN=MIDDLE  ALT=\"+%28+x+-+2y+%29+%2B+%28+x+-+2y+%29+=+%28+325+-+2%2A75+%29+%2B+%28+325+-+2%2A75%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+-+200+%2B+300+-+200+=+600+-+400+ ALIGN=MIDDLE  ALT=\"+300+-+200+%2B+300+-+200+=+600+-+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+600+-+400+=+200+ ALIGN=MIDDLE  ALT=\"+600+-+400+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "Bottle y has: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+=+3%2A100+-+300+%2B+2%2A100+ ALIGN=MIDDLE  ALT=\"+%28+y+%2B+2y+%29+-+%28+x+-+2y+%29+=+3%2A100+-+300+%2B+2%2A100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+-+300+%2B+200+=+200+ ALIGN=MIDDLE  ALT=\"+300+-+300+%2B+200+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ml<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Both bottles end up with 200 ml<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );