document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201236>Question 1201236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Before Marium changed jobs, her salary was 24 percent more than Maria’s salary. After Marium changed jobs, her new salary was 24 percent less than her old salary. If quantity A is Maria’s salary and quantity B is Marium’s new salary, then: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835521 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=835521\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = maria's salary<BR>\n" );
document.write( "B = marium's salary<BR>\n" );
document.write( "before changing jobs, marium's salary was 24% more than maria's.<BR>\n" );
document.write( "equation for that is B = 1.24A<BR>\n" );
document.write( "after changing jobs, marium's salary wwas 24% less than her previous salary.<BR>\n" );
document.write( "equation for that is:<BR>\n" );
document.write( "B = .76B<BR>\n" );
document.write( "since B = 1.24A in the first equation, then replace B with 1.24A in the right side of the second equationA to get:<BR>\n" );
document.write( "B = .76 * 1.24A<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "B = .9424A.\r<BR>\n" );
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document.write( "this suggests that, before she changed jobs, her salary was 24% higher than marium's, and after she changed jobs, her salary was 94.24% as large as mariuum's.<BR>\n" );
document.write( "94.24% as large means that it is 5.76% less than marium's (94.24% minus 100% = <BR>\n" );
document.write( "-(100 = 94.24) = -5.76%.\r<BR>\n" );
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document.write( "to see if this makes sense, then pick a salary for maria, at random, that makes some kind of sense, like 20,000 per year.<BR>\n" );
document.write( "since marium's salary, before she changed jobs, was 24% higher, then marium must have been making 24,800.\r<BR>\n" );
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document.write( "when marium changed jobs, she would have been making .76 * 24,800 = 18,848.<BR>\n" );
document.write( "20,000 minus 18,848 = 1,152<BR>\n" );
document.write( "1,152 / 20,000 = .0576.<BR>\n" );
document.write( ".0576 * 100, = 5.76%.<BR>\n" );
document.write( "marium was now making 1,152 less than 20,000 which is 5.76% less than 20,000<BR>\n" );
document.write( "18,848 is also 18,848 / 20,000 = .9424 as large as 20,000.<BR>\n" );
document.write( "multiply that by 100, which makes it 94.24% as large as 20,000.\r<BR>\n" );
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document.write( "the figures check out, so the solution looks good.\r<BR>\n" );
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document.write( "i'm not exactly sure what you are looking for, but i get:<BR>\n" );
document.write( "marium's new salary is 94.24% as large as maria's, which is 5.76% less than maria's.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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