document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136506>Question 1136506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The monthly salaries of Amanda and Zizipho are in the ratio 3:5.If each receives an increase of R200 in salary , the ratio is altered to 13:21.Determine the monthly salaries of Amanda and Zizipho. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754259 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=754259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a/z = 3/5\r<BR>\n" );
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document.write( "(a + 200) / (z + 200) = 13/21\r<BR>\n" );
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document.write( "in the second equation, cross multiply to get:\r<BR>\n" );
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document.write( "(a + 200) * 21 = (x + 200) * 12\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "21 * a + 4200 = 13 * z + 2600\r<BR>\n" );
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document.write( "in a/z = 3/5, solve for a to get:\r<BR>\n" );
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document.write( "a = 3 * z / 5\r<BR>\n" );
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document.write( "in 21 * a + 4200 = 13 * z + 2600, replace a with 3 * z / 5 to get:\r<BR>\n" );
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document.write( "21 * 3 * z / 5 + 4200 = 13 * z + 2600\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "63 * z / 5 + 4200 = 13 * x + 2600\r<BR>\n" );
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document.write( "multiply both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "63 * z + 21000 = 65 * z + 13000\r<BR>\n" );
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document.write( "solve for z to get z = 4000\r<BR>\n" );
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document.write( "since a = 3/5 * z, then a = 2400\r<BR>\n" );
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document.write( "2400 / 4000 = 24/40 = 3/5 \r<BR>\n" );
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document.write( "2600 / 4200 = 26/42 = 13/21\r<BR>\n" );
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document.write( "solution checks out.\r<BR>\n" );
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document.write( "solution is amanda's salary is 2400 and zizipho's salary is 4000.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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