document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936086>Question 936086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman is paid $20 for each day she works and forfeits $5 for each day she is idle. At the end of 25 days she nets $450. How many days did she work?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569536 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=569536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the number of days she is working.<BR>\n" );
document.write( "let y equal the number of days she is idle.<BR>\n" );
document.write( "total number of days is 25.\r<BR>\n" );
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document.write( "x + y = 25\r<BR>\n" );
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document.write( "when she works, she makes 20 dollars.<BR>\n" );
document.write( "when she is idle she loses 5 dollars.<BR>\n" );
document.write( "she makes a total of 450 dollars.\r<BR>\n" );
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document.write( "20x - 5y = 450\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "x + y = 25<BR>\n" );
document.write( "20x - 5y = 450\r<BR>\n" );
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document.write( "solve for y in the first equation of x + y = 25 to get:\r<BR>\n" );
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document.write( "y = 25 - x\r<BR>\n" );
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document.write( "replace y with 25 - x in the second equation of 20x - 5y = 450 to get:\r<BR>\n" );
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document.write( "20x - 5 * (25 - x) = 450\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "20x - 125 + 5x = 450\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "25x - 125 = 450\r<BR>\n" );
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document.write( "add 125 to both sides of the equation to get:\r<BR>\n" );
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document.write( "25x = 575\r<BR>\n" );
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document.write( "divide both sides of the equation by 25 to get:\r<BR>\n" );
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document.write( "x = 23\r<BR>\n" );
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document.write( "she worked 23 days and she was idle 2.\r<BR>\n" );
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document.write( "she made 23 * 20  = 460 and she lost 2 * 5 = 10 to net a total of 450 dollars.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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