document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39080>Question 39080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "Can someone help please?\r<BR>\n" );
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document.write( "My question is:\r<BR>\n" );
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document.write( "If you take $20 from the first and put it into the second of three purses, the second would then contain 4 times as much as remains in the first. If $60 of what is now in the second is put into the third, the third will contain twice what is in the first and second together. Now, if $40 be removed from the third and put into the first, there will be half as much as in the third. What did each purse originally hold?\r<BR>\n" );
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document.write( "I know the answer is $50, $100 and $120 but I don't know how to work it out.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Marcee </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24801 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=24801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the second one be x<BR>\n" );
document.write( "Let the first one be y<BR>\n" );
document.write( "Let the third one be z<BR>\n" );
document.write( "FIRST EQUATION:<BR>\n" );
document.write( "x+20=4(y-20)<BR>\n" );
document.write( "x=4y-80-20<BR>\n" );
document.write( "x=4y-100 (SUBSITUTION 1)\r<BR>\n" );
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document.write( "SECOND EQUATION:<BR>\n" );
document.write( "z+60=2(y-20+x+20-60)<BR>\n" );
document.write( "z+60=2y-40+2x+40-60<BR>\n" );
document.write( "z=2y+2x-120 (SUBSITUTION 2)\r<BR>\n" );
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document.write( "THIRD EQUATION:<BR>\n" );
document.write( "z-40=2y+80\r<BR>\n" );
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document.write( "ALLOW THE SUBSITUTION:<BR>\n" );
document.write( "Subsitute for z:<BR>\n" );
document.write( "2y+2x-120=2y+80<BR>\n" );
document.write( "2x=200<BR>\n" );
document.write( "x=100\r<BR>\n" );
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document.write( "FROM 1st EQUATION:<BR>\n" );
document.write( "x=4y-100<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F4%2B25 ALIGN=MIDDLE  ALT=\"y=x%2F4%2B25\"   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%2F4%2B25 ALIGN=MIDDLE  ALT=\"y=100%2F4%2B25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y=50\r<BR>\n" );
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document.write( "z=2(50)+2(100)-120<BR>\n" );
document.write( "z=180 ( I have no idea how to get 120)<BR>\n" );
document.write( "Hence, the money in three purses were $50, $100, and $180.<BR>\n" );
document.write( "Paul.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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