document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613996>Question 613996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three persons Alice, Belen and Carol, played games. At the beginning of the game,the money they had were in the ratio 3:2:1. At the end of the game, their money were in the ratio 11:8:5. Who won and who lost?<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 #386470 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=386470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three persons Alice, Belen and Carol, played games<BR>\n" );
document.write( ". At the beginning of the game,the money they had were in the ratio 3:2:1.<BR>\n" );
document.write( " At the end of the game, their money were in the ratio 11:8:5.<BR>\n" );
document.write( " Who won and who lost?<BR>\n" );
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document.write( "One way is make an assumption of actual amts for each, that reflect the given ratio<BR>\n" );
document.write( "Beginning<BR>\n" );
document.write( "A has $30<BR>\n" );
document.write( "B has $20<BR>\n" );
document.write( "C has $10<BR>\n" );
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document.write( "Total:$60<BR>\n" );
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document.write( "After the game the total will still be $60<BR>\n" );
document.write( "let x = the multiplier<BR>\n" );
document.write( "A has 11x<BR>\n" );
document.write( "B has  8x<BR>\n" );
document.write( "C has  5x<BR>\n" );
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document.write( "Find the multiplier x<BR>\n" );
document.write( "11x + 8x + 5x = 60<BR>\n" );
document.write( "24x = 60<BR>\n" );
document.write( "x = 60/24<BR>\n" );
document.write( "x = 2.5 is the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "11*2.5 = $27.50, A lost $2.50<BR>\n" );
document.write( "8* 2.5 = $20.00, B came out even<BR>\n" );
document.write( "5* 2.5 = $12.50, C gained $2.50<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Check: $60.00, total remains the same<BR>\n" );
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