document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112868>Question 1112868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Khalid loses 1|3th of his money in the first game, 3.5th of the remainder in the second and 4|7th of the rest in third. Then he is left with .........th of money?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727904 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=727904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the original amount of money that he started with.\r<BR>\n" );
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document.write( "he starts the first game with x.<BR>\n" );
document.write( "he loses 1/3 of the money that he started the first game with.<BR>\n" );
document.write( "that means he loses 1/3 * x.\r<BR>\n" );
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document.write( "the money he has left after the first game is x - 1/3 * x.<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "the money he has left after the first game is 2/3 * x.\r<BR>\n" );
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document.write( "he starts the second game with 2/3 * x.<BR>\n" );
document.write( "he loses 3/5 of the money that he started the second game with.<BR>\n" );
document.write( "that means he loses 3/5 * 2/3 * x.\r<BR>\n" );
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document.write( "the money he has left after the second game is 2/3 * x - 3/5 * 2/3 * x.<BR>\n" );
document.write( "simplify this to get:<BR>\n" );
document.write( "the money he has left after the second game is 2/3 * x - 6/15 * x.\r<BR>\n" );
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document.write( "put everything under the common denominator of 15 and you get:<BR>\n" );
document.write( "the money he has left after the second game is 10/15 * x - 6/15 * x.<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "the money he has left after the second game is 4/15 * x.\r<BR>\n" );
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document.write( "he starts the third game with 4/15 * x.<BR>\n" );
document.write( "he loses 4/7 of the money that he started the third game with.<BR>\n" );
document.write( "that means he loses 4/7 * 4/15 * x.\r<BR>\n" );
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document.write( "the money he has left after the third game is 4/15 * x - 4/7 * 4/15 * x.<BR>\n" );
document.write( "simplify this to get:<BR>\n" );
document.write( "the money he has left after the third game is 4/15 * x - 16/105 * x.\r<BR>\n" );
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document.write( "put everything under the common denominator of 105 and you get:<BR>\n" );
document.write( "the money he has left after the third game is 28/105 * x - 16/105 * x.<BR>\n" );
document.write( "simplify this to get:<BR>\n" );
document.write( "the money he has left after the third game is 12/105 * x<BR>\n" );
document.write( "simplify this further to get:<BR>\n" );
document.write( "the money he has left after the third game is 4/35 * x.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "the money he has left after the third game is 4/35th of the money that he started out with.\r<BR>\n" );
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