document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054351>Question 1054351</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a business,Romeo and Juliet gained some amount in a certain ratio.Juliet and frank received the profits in the same ratio as Romeo and Juliet.if Romeo received $250 and frank received $360,what is the amount received by Juliet? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669564 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=669564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let r = the amount that romeo gets.<BR>\n" );
document.write( "let j = the amount that juliet gets.<BR>\n" );
document.write( "let f = the amount that frank gets.\r<BR>\n" );
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document.write( "the ratio between romeo and juliet is r/j.\r<BR>\n" );
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document.write( "the ratio between juliet and frank is j/f.\r<BR>\n" );
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document.write( "these ratios are equal, so you get r/j = j/f.\r<BR>\n" );
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document.write( "if you want to find what juliet gets, you need to solve this equation for j.\r<BR>\n" );
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document.write( "multiply both sides of the equation by j and multiply both sides of the equation by f to get r * f = j * j\r<BR>\n" );
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document.write( "simplify to get r * f = j^2\r<BR>\n" );
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document.write( "solve for j to get j = plus or minus sqrt(r * f).\r<BR>\n" );
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document.write( "minus doesn't makes sense, so stick to j = plus sqrt (r * f).\r<BR>\n" );
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document.write( "since r = 250 and f = 360, this equation becomes j = sqrt (250 * 360).\r<BR>\n" );
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document.write( "solve for j to get j = 300.\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( "you now have the original ratios as 250/300 = 300/360.\r<BR>\n" );
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document.write( "simplify these fractions to get 5/6 = 5/6.\r<BR>\n" );
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document.write( "the ratios are the same.\r<BR>\n" );
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document.write( "the solution looks good.\r<BR>\n" );
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document.write( "the solution is that juliet gets 300.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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