document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767915>Question 767915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tells B \"If you give me Rs. 400, then I shall have 25% more than what you have\". B tells A,\" If you give me Rs. 200, then I shall have three and a half times as much as you have.\" How much does B have?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467950 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=467950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tells B \"If you give me Rs. 400, then I shall have 25% more than what you have\". B tells A,\" If you give me Rs. 200, then I shall have three and a half times as much as you have.\" How much does B have? <BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "a + 400 = 0.75(b-400)<BR>\n" );
document.write( "b+200 = (7/2)a<BR>\n" );
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document.write( "Rearrange 1st equation::<BR>\n" );
document.write( "a + 400 = 0.75b-300<BR>\n" );
document.write( "a - 0.75b = -700<BR>\n" );
document.write( "a = 0.75b-700<BR>\n" );
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document.write( "Rearrange 2nd equation:<BR>\n" );
document.write( "3.5a - b = 200<BR>\n" );
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document.write( "Substitute and solve for \"b\":<BR>\n" );
document.write( "3.5(0.75b-700) -b = 200<BR>\n" );
document.write( "----<BR>\n" );
document.write( "3.5*0.75b - 2450 -b = 200<BR>\n" );
document.write( "1.625b = 2650<BR>\n" );
document.write( "b = $1630.77<BR>\n" );
document.write( "Solve for \"a\":<BR>\n" );
document.write( "a = $523.08<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=======================\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );