document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184480>Question 1184480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Marvin decided to rearrange his stamps in his stamp books, Book A, Book B and Book<BR>\n" );
document.write( "C. First, he moved 2/9 of the stamps from Book B to Book C. Then, he moved 3/5 of the <BR>\n" );
document.write( "remaining stamps from Book B to Book A. Next, he moved 1/3 of his stamps from Book <BR>\n" );
document.write( "A to Book C. In the end, there were 240 fewer stamps in Book B than in Book A. Book <BR>\n" );
document.write( "C had 460 more stamps than Book B and there were 600 stamps left in Book C. How <BR>\n" );
document.write( "many more stamps were there in Book B than Book A at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815630 by </B><A HREF=/tutors/aboutme.mpl?userid=JBnovelwriter><B>JBnovelwriter(34)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBnovelwriter><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=JBnovelwriter><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ABC<BR>\n" );
document.write( "Make sure to understand that the original numbers for A, B, and C stay constant. any changes to the group you must include the constant.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First, he moved 2/9 of the stamps from Book B to Book C.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F9%29B%2BC ALIGN=MIDDLE  ALT=\"%282%2F9%29B%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > =updated C book amount of stamps<BR>\n" );
document.write( "Then, he moved 3/5 of the remaining stamps from Book B to Book A. (the remaining ould be what's left after subtracting 2/9ths of B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%28B-%282B%2F9%29%29%2BA ALIGN=MIDDLE  ALT=\"%283%2F5%29%28B-%282B%2F9%29%29%2BA\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%287B%2F9%29%2BA ALIGN=MIDDLE  ALT=\"%283%2F5%29%287B%2F9%29%2BA\"   DISABLED_style= \"max-width:90%; height:auto;\" > = updated A book amount of stamps<BR>\n" );
document.write( "he moved 1/3 of his stamps from Book A to Book C<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29%29%2B%28%282B%2F9%29%2BC%29 ALIGN=MIDDLE  ALT=\"%28%281%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29%29%2B%28%282B%2F9%29%2BC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = current C book amount of stamps<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is current A book<BR>\n" );
document.write( "(In the end) this is very important terminology this now means everything following is the end results for each book not the original constants.<BR>\n" );
document.write( "there were 240 fewer stamps in Book B than in Book A. 240 fewer than B =  current state of B+240=current state of A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29=%287B%2F9%29-%283%2F5%29%287B%2F9%29%2B240 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "current Book C had 460 more stamps than current Book B. took current state of book C and set it equal to current B plus 460 more stamps.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%289B%2F9%29-%282B%2F9%29%29=%287B%2F9%29 ALIGN=MIDDLE  ALT=\"%28%289B%2F9%29-%282B%2F9%29%29=%287B%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287B%2F9%29-%283%2F5%29%287B%2F9%29 ALIGN=MIDDLE  ALT=\"%287B%2F9%29-%283%2F5%29%287B%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Bs current book amount<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%28A%2B%283%2F5%29%287B%2F9%29%29%29%2B%28%282B%2F9%29%2BC%29=%28%287B%2F9%29-%28%283%2F5%29%287B%2F9%29%29%29%2B460 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "current C book=600 stamps left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%28A%2B%283%2F5%29%287B%2F9%29%29%29%2B%28%282B%2F9%29%2BC%29=600 ALIGN=MIDDLE  ALT=\"%28%281%2F3%29%28A%2B%283%2F5%29%287B%2F9%29%29%29%2B%28%282B%2F9%29%2BC%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so this means that  current B book is = to 140=(600-460)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600=%287B%2F9%29-%283%2F5%29%287B%2F9%29%2B460 ALIGN=MIDDLE  ALT=\"600=%287B%2F9%29-%283%2F5%29%287B%2F9%29%2B460\"   DISABLED_style= \"max-width:90%; height:auto;\" > solve for B, subtract 460 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140=%287B%2F9%29-%283%2F5%29%287B%2F9%29 ALIGN=MIDDLE  ALT=\"140=%287B%2F9%29-%283%2F5%29%287B%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >multiply the fraction in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140=%287B%2F9%29-%2821B%2F45%29 ALIGN=MIDDLE  ALT=\"140=%287B%2F9%29-%2821B%2F45%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > im not a fan of fractions so multiply both sides by 9 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6300=%2835B%29-%2821B%29 ALIGN=MIDDLE  ALT=\"6300=%2835B%29-%2821B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6300=14B ALIGN=MIDDLE  ALT=\"6300=14B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28450=B%29 ALIGN=MIDDLE  ALT=\"highlight%28450=B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > We finally Found what B originally equaled. now we can use it in other equations to solve for the other books.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "there were 240 fewer stamps in Book B than in Book A. 240 fewer than current A = current B +240= 140+240=380 is current A and current C is 600.<BR>\n" );
document.write( "so now we have all the currents:<BR>\n" );
document.write( "cA=380<BR>\n" );
document.write( "cB=140<BR>\n" );
document.write( "cC=600<BR>\n" );
document.write( "so above is all the calculations you get from reading the word problem<BR>\n" );
document.write( ".<BR>\n" );
document.write( "you can now set each to the equations from above and use B=450 to find what C and A were at the start<BR>\n" );
document.write( ".<BR>\n" );
document.write( "cA=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cC=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29%29%2B%28%282B%2F9%29%2BC%29 ALIGN=MIDDLE  ALT=\"%28%281%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29%29%2B%28%282B%2F9%29%2BC%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29=380 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29=380\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "B=450<BR>\n" );
document.write( "solve for A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29=380 ALIGN=MIDDLE  ALT=\"%282%2F3%29%28A%2B%28%283%2F5%29%287B%2F9%29%29%29=380\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B%28%283%2F5%29%287B%2F9%29%29=1140 ALIGN=MIDDLE  ALT=\"2A%2B%28%283%2F5%29%287B%2F9%29%29=1140\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply accross fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2B%2835B%2F45%29=1140 ALIGN=MIDDLE  ALT=\"2A%2B%2835B%2F45%29=1140\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiply by 45<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%282A%29%2B%2835B%29=51300 ALIGN=MIDDLE  ALT=\"45%282A%29%2B%2835B%29=51300\"   DISABLED_style= \"max-width:90%; height:auto;\" > substitute in the B=450<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90A%2B%2835%28450%29%29=51300 ALIGN=MIDDLE  ALT=\"90A%2B%2835%28450%29%29=51300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90A%2B%2815750%29=51300 ALIGN=MIDDLE  ALT=\"90A%2B%2815750%29=51300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90A=35550 ALIGN=MIDDLE  ALT=\"90A=35550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28A=395%29 ALIGN=MIDDLE  ALT=\"highlight%28A=395%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=395 ALIGN=MIDDLE  ALT=\"A=395\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=450 ALIGN=MIDDLE  ALT=\"B=450\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "How many more stamps were there in Book B than Book A at first?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B-A=x ALIGN=MIDDLE  ALT=\"B-A=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450-395=x ALIGN=MIDDLE  ALT=\"450-395=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2855%29=x ALIGN=MIDDLE  ALT=\"highlight%2855%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sorry about all the updates after the post, realized I made a few mistakes and had to correct them. this was not an easy problem. It was quite difficult to keep everything straight. I got hung up on when it took a third of the current A book and forgot to change the current state of A to two-thirds of the updated A book. but it's all fixed now. :-)\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );