document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187717>Question 1187717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Mark had 80% more money than Bob. Vicky had 40% less than Bob. Mark and Bob gave vicky some money in the ratio of 3;2  respectively. In the end vicky had twice as much money as before. Given that Mark had $144 more than vicky in the end how much money did each of them have at first.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819171 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mark had 80% more money than Bob.<BR>\n" );
document.write( "m = 1.8b<BR>\n" );
document.write( " Vicky had 40% less than Bob.<BR>\n" );
document.write( "v = .6b<BR>\n" );
document.write( " Mark and Bob gave vicky some money in the ratio of 3;2 respectively.<BR>\n" );
document.write( "let a = amt of money m and b gave to v<BR>\n" );
document.write( "then their remaining amts:<BR>\n" );
document.write( "m = m - .6a<BR>\n" );
document.write( "b = b - .4a<BR>\n" );
document.write( " In the end vicky had twice as much money as before.<BR>\n" );
document.write( "2v = v + a<BR>\n" );
document.write( "v - v = a<BR>\n" );
document.write( "v = a<BR>\n" );
document.write( " Given that Mark had $144 more than vicky in the end <BR>\n" );
document.write( "v = a<BR>\n" );
document.write( "m - .6v = 2v + 144<BR>\n" );
document.write( "m - .6v - 2v = 144<BR>\n" );
document.write( "m - 2.6v = 144<BR>\n" );
document.write( " how much money did each of them have at first.<BR>\n" );
document.write( "find b, replace m with 1.8b, replace v with .6b<BR>\n" );
document.write( "1.8b - 2.6(.6b) = 144<BR>\n" );
document.write( "1.8b - 1.56b = 144<BR>\n" );
document.write( ".24b = 144<BR>\n" );
document.write( " b = 144/.24<BR>\n" );
document.write( " b = $600 amt the Bob had<BR>\n" );
document.write( "then<BR>\n" );
document.write( "m = 1.8 * 600<BR>\n" );
document.write( "m = $1080 is Mark's amt originally<BR>\n" );
document.write( "and<BR>\n" );
document.write( "v = .6 * 600<BR>\n" );
document.write( "v = $360 is Vicky's amt\r<BR>\n" );
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