document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=542900>Question 542900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Leigh is paid time-and-a-half hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of $342 for working 50 hours, 4 of which were on Sundays, what is her regular hourly rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354698 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Like most word problems, the key is figuring what problem you are setting up.  And that means figuring out what your variables are.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Let r = the base wage rate in $/hr<BR>\n" );
document.write( "Let w = # weekly hrs worked up to 40<BR>\n" );
document.write( "Let s = # Sunday hrs worked<BR>\n" );
document.write( "Let o = # other overtime hrs worked<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "multiplier for w hrs = 1.0<BR>\n" );
document.write( "multiplier for o hrs = 1.5<BR>\n" );
document.write( "multiplier for s hrs = 2.0<BR>\n" );
document.write( "w + o + s = 50<BR>\n" );
document.write( "s = 4<BR>\n" );
document.write( "...<BR>\n" );
document.write( "deduce:<BR>\n" );
document.write( "if w + o + s > 40, then w = 40<BR>\n" );
document.write( "if w = 40 and s = 4, then o = 6<BR>\n" );
document.write( "...<BR>\n" );
document.write( "solve for r:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "1.0r * w + 1.5r * o + 2.0r * s = 342<BR>\n" );
document.write( "substitute in the values we deduced for w, o, and s:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "1.0r (40) + 1.5r (6) + 2.0r (4) = 342<BR>\n" );
document.write( "simplify by combining like terms:<BR>\n" );
document.write( "...<BR>\n" );
document.write( "40r + 9r + 8r = 342<BR>\n" );
document.write( "57r = 342<BR>\n" );
document.write( "r = 342/57<BR>\n" );
document.write( "r = $6.00/hr<BR>\n" );
document.write( "...<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Lee </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );