document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67489>Question 67489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I bought two books for a total cost of $40. If the first book's price were raised 5% and the second's lowered 5%, the prices would be equal. What was the original price, in dollas, of the cheaper book?<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 #48009 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=48009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I bought two books for a total cost of $40. If the first book's price were raised 5% and the second's lowered 5%, the prices would be equal. What was the original price, in dollas, of the cheaper book?<BR>\n" );
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document.write( "Let the prices of the two books be x and y.<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "1st: xy=40<BR>\n" );
document.write( "2nd: (1.05x)=(0.95y)<BR>\n" );
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document.write( "Solve the 1st for x and substitute into the 2nd to get:<BR>\n" );
document.write( "1.05*(40/y) = 0.95y<BR>\n" );
document.write( "42/y = 0.95y<BR>\n" );
document.write( "0.95y^2=42<BR>\n" );
document.write( "y^2=44.21<BR>\n" );
document.write( "y=$6.65<BR>\n" );
document.write( "Then x=40/6.65=$6.01<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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