document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003379>Question 1003379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one book shelf contains 5 times as many book as another book shelf. when 20 books were moved from the first to the second, the first had 3 times as much as the second. how many books did each have originally? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620112 by </B><A HREF=/tutors/aboutme.mpl?userid=maxitee><B>maxitee(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=maxitee><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=620112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's take the First Shelf as Y<BR>\n" );
document.write( "Let's take the second Shelf as X\r<BR>\n" );
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document.write( "   From the question, Originally; Y = 5X\r<BR>\n" );
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document.write( "However, upon removing 20 from Y and adding it to X we now have a new Shelf arrangement and we shall call it Z.\r<BR>\n" );
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document.write( "   Z can be expressed as;<BR>\n" );
document.write( "    Z = X + 20\r<BR>\n" );
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document.write( "From the latter part of the question we can clearly write a new equation after the subtraction/addition from/to Y and X respectively. Whereas Y is thrice the new Shelf arrangment(Z).\r<BR>\n" );
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document.write( "   Y-20 = 3Z (Where Z is X+20)<BR>\n" );
document.write( "Y-20 = 3(X+20)<BR>\n" );
document.write( "Y-20=3X + 60\r<BR>\n" );
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document.write( "  Remember that, Y = 5X, Therefore we substitute Y for X in the above equation.\r<BR>\n" );
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document.write( "5X - 20 = 3X + 60.  <BR>\n" );
document.write( "   Solving the above linear equation gives X as.<BR>\n" );
document.write( "X= 40.\r<BR>\n" );
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document.write( "If X is 40 therefore Y = 5*40\r<BR>\n" );
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document.write( "Y= 200.\r<BR>\n" );
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document.write( "  The first shelf originally had 200 Books while the second originally had 40 Books. </SPAN>\n" );
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