document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199590>Question 1199590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Box A contains $1 coins box B contains 50 cent coins and box C contains 20cent coins. A  has 5 times as many coins as C. B has 12 fewer than A. C has half the number in B. How much money is in box A. \r<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 #833523 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "A = number of coins in box A<BR>\n" );
document.write( "B = number of coins in box B<BR>\n" );
document.write( "C = number of coins in box C\r<BR>\n" );
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document.write( "Stated facts:<BR>\n" );
document.write( "<ol><li><font color=\"blue\">A has 5 times as many coins as C.</font></li><li><font color=\"blue\">B has 12 fewer than A.</font></li><li><font color=\"blue\">C has half the number in B</font></li></ol>Let's translate each of those three statements into symbolic form.<ul><li>A = 5C  from fact 1</li><li>B = A-12 from fact 2</li><li>C = 0.5B from fact 3</li></ul>Then apply a combination of fact 1 and fact 3.<BR>\n" );
document.write( "A = 5C<BR>\n" );
document.write( "A = 5*0.5B<BR>\n" );
document.write( "A = 2.5B\r<BR>\n" );
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document.write( "Now involve fact 2 so we can solve for B.<BR>\n" );
document.write( "B = A-12<BR>\n" );
document.write( "B = 2.5B-12<BR>\n" );
document.write( "B-2.5B = -12<BR>\n" );
document.write( "-1.5B = -12<BR>\n" );
document.write( "B = -12/(-1.5)<BR>\n" );
document.write( "B = 8<BR>\n" );
document.write( "There are 8 coins worth 50 cents each in box B.\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "A = 2.5B<BR>\n" );
document.write( "A = 2.5*8<BR>\n" );
document.write( "A = 20<BR>\n" );
document.write( "There are 20 coins worth $1 each from box A.<BR>\n" );
document.write( "Ultimately we have 20*1 = 20 dollars in box A.\r<BR>\n" );
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document.write( "Answer: <font color=red>$20</font><BR>\n" );
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