document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139291>Question 139291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally works at a grocery store. In one week she earned $390 for working 47 hours of which 7 hours were overtime. The next week she earn $416 for working 50 hours of which 8 hours were obertime. What is Sally's hourly overtime rate in dollars per hour?\r<BR>\n" );
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document.write( "I have worked on this for 3 days now and can't get answer that works it would be great if someone could help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101556 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=101556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In one week she earned $390 for working 47 hours of which 7 hours were overtime. The next week she earn $416 for working 50 hours of which 8 hours were obertime. What is Sally's hourly overtime rate in dollars per hour? <BR>\n" );
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document.write( "Let overtime rate = x; Let regular rate = y:\r<BR>\n" );
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document.write( "EQUATIONS:<BR>\n" );
document.write( "7x + 40y = 390<BR>\n" );
document.write( "8x + 42y = 416<BR>\n" );
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document.write( "Multiply 1st equation by 8 and 2nd equation by 7 to get:<BR>\n" );
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document.write( "56x + 320y = 8*390<BR>\n" );
document.write( "56x + 294y = 7*416<BR>\n" );
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document.write( "Subtract 2nd from 1st to get:<BR>\n" );
document.write( "26y = 3120-2912<BR>\n" );
document.write( "26y = 208<BR>\n" );
document.write( "y = $8.00 (regular hourly rate)<BR>\n" );
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document.write( "Substitute that into original 1st eq. to get:<BR>\n" );
document.write( "7x + 40*8 = 390<BR>\n" );
document.write( "7x = 70<BR>\n" );
document.write( "x = $10.00 (overtime rate)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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