document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117368>Question 1117368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lee bought a book for ¥300 and sold it to Wong at a profit of x%. Wong then sold the same book to Fei at a profit of x%.If Fei paid ¥(6x+0.75) more for the book than what Lee paid, find the value of x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #732435 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is what i get after repeated tries to understand what they mean.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x% is equal to 100x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the profit is x%, then the profit is 300 * x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example, if x% = 10, then x = .10 and the profit is 300 * .10 = 30<BR>\n" );
document.write( "30/300 = .10 * 100 = 10%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "300 + 300 * x is equal to 300 * (1 + x)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "lee bought it for 300.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "wong paid 300 * (1 + x).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "fei paid 300 * (1 + x) * (1 + x).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that means that fei paid 300 * (1 + x)^2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "fei paid 6x + .75 more than what lee paid for it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that means that fei paid 300 + 6x + .75.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since fei also paid 300 * (1 + x)^2, then you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "300 * (1 + x) ^ 2 = 300 + 6x + .75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since (1 + x)^2 is equal to 1 + 2x + x^2, then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "300 * (1 + 2x + x^2) = 1 + 2x + x^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "300 + 600x + 300x^2 = 300 + 6x + .75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the 300 on both sides of the equation cancel out and you are left with:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "600x + 300x^2 = 6x + .75\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract the right side of the equation from both sides of the equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "594x + 300x^2 - .75 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "reorder the terms in descending order of degree to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "300x^2 + 592x - .75 = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "factor this quadratic equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -1.9812618221237 or x = 0.0012618221237011 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x can't be negative, so x has to be 0.0012618221237011 or there is no solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = 0.0012618221237011, 300 * (1 + x)^2 = 300.757570933 and 300 + 6x + .75 = 300.757570933\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since they're the same, then the solution is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is that x = 0.0012618221237011\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x% is equal to 100 * x, therefore x% would be equal to 0.12618221237011%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they didn't ask for x%, so go with the value of x = 0.0012618221237011.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );