document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206156>Question 1206156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kevin and James each has some money. If only Kevin spends $54, the ratio of the amount of money Kevin has to the amount of money James has will become 2:5. If only James spends $54, the ratio will become 8:13. How much money does each boy have? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843403 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kevin and James each has some money. If only Kevin spends $54, the ratio of the amount of money Kevin has to the amount of money James has will become 2:5. If only James spends $54, the ratio will become 8:13. How much money does each boy have?\r<BR>\n" );
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document.write( "Let Kevin have $x<BR>\n" );
document.write( "Kevin spends $54<BR>\n" );
document.write( "He has a balance of (x-54)\r<BR>\n" );
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document.write( "and James have $y\r<BR>\n" );
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document.write( "the ratio of the amount of money Kevin has to the amount of money James has will become 2:5<BR>\n" );
document.write( "(x-54)/y = 2/5\r<BR>\n" );
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document.write( "2y = 5(x-54)\r<BR>\n" );
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document.write( "2y= 5x-=-270<BR>\n" );
document.write( "2y-5x = =-270........................................1\r<BR>\n" );
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document.write( " If only James spends $54, the ratio will become 8:13.<BR>\n" );
document.write( "x/(y-54) =8/13\r<BR>\n" );
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document.write( "13x = 8(y-54)<BR>\n" );
document.write( "13x = 8y -432<BR>\n" );
document.write( "13x -8y = -432....................................2\r<BR>\n" );
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document.write( "Multiply (1) by 4 and add the equation to (2)<BR>\n" );
document.write( "8y-20x = -1080<BR>\n" );
document.write( "13x -8y = -432\r<BR>\n" );
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document.write( "-7x = -1512\r<BR>\n" );
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document.write( "x = 216\r<BR>\n" );
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document.write( "2y = 5(x-54)\r<BR>\n" );
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document.write( "substitute x =218\r<BR>\n" );
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document.write( "2y = 5(216-54)\r<BR>\n" );
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document.write( "2y=162*5\r<BR>\n" );
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document.write( "y= 81*5= 405\r<BR>\n" );
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document.write( "Kevin has $216 and James has $405.<BR>\n" );
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