document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200974>Question 1200974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide N102 among three boys A, B and C , so that A gets twice as much as B and C gets 1 1/2 times as much as A. How much does each boy get?<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 #835192 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=835192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A gets twice as much as B.<BR>\n" );
document.write( "C gets 1 and 1/2 times as much as A.<BR>\n" );
document.write( "let a = the amount that A gets.<BR>\n" );
document.write( "let b = the amount that B gets.<BR>\n" );
document.write( "let c = the amount that C gets.<BR>\n" );
document.write( "your equations are:<BR>\n" );
document.write( "a = 2 * b.<BR>\n" );
document.write( "c = 3/2 * a.<BR>\n" );
document.write( "since a = 2 * b, then c = 3/2 * 2 * b = 3 * b.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "a = 2 * b<BR>\n" );
document.write( "b = b<BR>\n" );
document.write( "c = 3 * b<BR>\n" );
document.write( "a + b + c = 102 becomes 2 * b + b + 3 * b = 102<BR>\n" );
document.write( "combine like terms to get 6 * b = 102<BR>\n" );
document.write( "solve for b to bet:<BR>\n" );
document.write( "b = 102/6 = 17<BR>\n" );
document.write( "solve for a to get a = 2 * b = 34<BR>\n" );
document.write( "solve for c to get c = 3 * b = 51.<BR>\n" );
document.write( "a + b + c = 34 + 17 + 51 = 102, confirming the values for a,b,c are correct.\r<BR>\n" );
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document.write( "another way to solve is to translate everything to a, rather than b.<BR>\n" );
document.write( "start with:<BR>\n" );
document.write( "a = 2b<BR>\n" );
document.write( "c = 3/2 * a<BR>\n" );
document.write( "from a = 2b, solve for b to get b = a/2.<BR>\n" );
document.write( "a is now equal to a. <BR>\n" );
document.write( "b is equal to a/2.<BR>\n" );
document.write( "c is equal to 3/2 * a.<BR>\n" );
document.write( "a + b + c = 102 becomes a + a/2 + 3/2 * a = 102.<BR>\n" );
document.write( "combine like terms to get 6a/2 = 102<BR>\n" );
document.write( "multiply both sides of this equation by 2 to get:<BR>\n" );
document.write( "6a = 204.<BR>\n" );
document.write( "solve for a to get:<BR>\n" );
document.write( "a = 34.<BR>\n" );
document.write( "since b = a/2, then b = 17<BR>\n" );
document.write( "since c = 3/2 * a, then c = 51.\r<BR>\n" );
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document.write( "you get the same values for a,b,c either way.\r<BR>\n" );
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document.write( "your solution is:<BR>\n" );
document.write( "A gets N34<BR>\n" );
document.write( "B gets N17<BR>\n" );
document.write( "C gets N51\r<BR>\n" );
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