document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099311>Question 1099311</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A father wishes to share $9000 between his two sons so that a fifth part of the eldest son's share exceeds by 90, the fourth part of what goes to the younger son. Calculate what each son would receive.<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 #713751 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=713751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x equals the older son's share.<BR>\n" );
document.write( "y equals the younger son's share.\r<BR>\n" );
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document.write( "x + y = 9000\r<BR>\n" );
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document.write( "1/5 * x = 1/4 * y + 90\r<BR>\n" );
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document.write( "multiply both side of the second equation by 5 to get:\r<BR>\n" );
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document.write( "x = 5/4 * y + 450\r<BR>\n" );
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document.write( "replace x in the first equation with this to get:\r<BR>\n" );
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document.write( "5/4 * y + 450 + y = 9000\r<BR>\n" );
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document.write( "combine like terms and subtract 450 from both sides of the equation to get:\r<BR>\n" );
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document.write( "9/4 * y = 8550\r<BR>\n" );
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document.write( "multiply both sides of this equation by 4/9 to get:\r<BR>\n" );
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document.write( "y = 3800\r<BR>\n" );
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document.write( "since x + y = 9000, then x = 5200\r<BR>\n" );
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document.write( "you have x = 5200 and y = 3800 for a total of 9000\r<BR>\n" );
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document.write( "1/5 * x = 1/4 * y + 90 becomes 1/5 * 5200 = 1/4 * 3800 + 90 which becomes 1040 = 950 + 90 which becomes 1040 = 1040 which is true.\r<BR>\n" );
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document.write( "your solution is that the older son receives 5200 and the younger son receives 3800.\r<BR>\n" );
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