document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1065978>Question 1065978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> £400 is divided between Ann, Brian and Carol so that's Ann has twice as much as Brian and Brian has three times as much as Carol. How much does Brian 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 #681147 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=681147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this can be solved easily by substitution.\r<BR>\n" );
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document.write( "let a = money that ann gets.<BR>\n" );
document.write( "let b = money that brian gets.<BR>\n" );
document.write( "let c = money that carol gets.\r<BR>\n" );
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document.write( "you get a + b + c = 400\r<BR>\n" );
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document.write( "you are given that:\r<BR>\n" );
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document.write( "a = 2b<BR>\n" );
document.write( "b = 3c\r<BR>\n" );
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document.write( "since a = 2b and b = 3c, this means that a = 2 * 3c = 6c\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "a = 6c<BR>\n" );
document.write( "b = 3c<BR>\n" );
document.write( "c = c\r<BR>\n" );
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document.write( "replace a and b with their equivalents in the equation of a + b + c = 400.\r<BR>\n" );
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document.write( "you get 6c + 3c + c = 400\r<BR>\n" );
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document.write( "combine like terms to get 10c = 400\r<BR>\n" );
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document.write( "solve for c to get c = 40\r<BR>\n" );
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document.write( "since b = 3c, this means that b = 120.\r<BR>\n" );
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document.write( "since a = 2b, this means that a = 240.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "a = 240<BR>\n" );
document.write( "b = 120<BR>\n" );
document.write( "c = 40\r<BR>\n" );
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document.write( "a + b + c = 240 + 120 + 40 which is equal to 400.\r<BR>\n" );
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document.write( "solution looks good.<BR>\n" );
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