document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=899751>Question 899751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lifeguard earns an hourly rate for 20h work in one week and an increased rate for overtime . One week Theresa worked 24 h and received $166.40. The next week she worked 27.5h and received $200. Find her hourly rate and her overtime rate of pay. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545581 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> RT=P for rate of pay, time in hours, pay in dollars\r<BR>\n" );
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document.write( "Let r = pay rate up to 20 hours<BR>\n" );
document.write( "Let u = payrate of any time amount after 20 hours\r<BR>\n" );
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document.write( "Teresa's first week:<BR>\n" );
document.write( "20 hours of regular time, and 4 hours overtime time.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2A20%2Bu%2A4=166 ALIGN=MIDDLE  ALT=\"r%2A20%2Bu%2A4=166\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20r%2B4u=166 ALIGN=MIDDLE  ALT=\"20r%2B4u=166\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10r%2B2u=83 ALIGN=MIDDLE  ALT=\"10r%2B2u=83\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Her second week:<BR>\n" );
document.write( "20 hours regular time and 7.5 hours overtime.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20r%2B%287.5%29u=200 ALIGN=MIDDLE  ALT=\"20r%2B%287.5%29u=200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40r%2B15u=400 ALIGN=MIDDLE  ALT=\"40r%2B15u=400\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which although now has no fractions, still should be simplified further;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8r%2B3u=80 ALIGN=MIDDLE  ALT=\"8r%2B3u=80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That forms a system of linear equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28system%2810r%2B2u=83%2C8r%2B3u=80%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28system%2810r%2B2u=83%2C8r%2B3u=80%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Choose the method you like.  A good way could be, multiply first equation by 3 and second equation by 2; and eliminate u to first solve for r.<BR>\n" );
document.write( "Solving from here is undone for your efforts. </SPAN>\n" );
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