document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105701>Question 105701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tina's diner is open six days a week. her income for the first five days this week was $200, $140, $360, $400, and $280. How much must she make on the sixth day to have a mean income of $390 for the six days? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76892 by </B><A HREF=/tutors/aboutme.mpl?userid=fmo><B>fmo(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fmo><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=76892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Tina wants to realize a mean income of $390 in her six days of operation.  The total amount of income she'll make, divided by the six days of work will give us this mean.  I.e.,\r<BR>\n" );
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document.write( "weekly income / days worked = daily mean\r<BR>\n" );
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document.write( "We know that Tina will have worked six days when the week is over, so:\r<BR>\n" );
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document.write( "weekly income / 6 = daily mean\r<BR>\n" );
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document.write( "And we know that she's hoping to realize a mean of $390, so:\r<BR>\n" );
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document.write( "weekly income / 6 = $390\r<BR>\n" );
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document.write( "Now to make things look a little more like an equation we'll let x represent the weekly income.\r<BR>\n" );
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document.write( "x / 6 = 390\r<BR>\n" );
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document.write( "Solving for x we multiply both sides of the equation by 6 and get:\r<BR>\n" );
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document.write( "x = 2340\r<BR>\n" );
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document.write( "Again, x was how much Tina would have to earn over the six day work week, not how much she needed to make on the sixth day.  <BR>\n" );
document.write( "We know how much she made during the first five days; let's add them:\r<BR>\n" );
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document.write( "200 + 140 + 360 + 400 + 280 = 1380\r<BR>\n" );
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document.write( "So if Tina needs to make $2,340 in six days, and she's already made $1,380 in the first five, the difference between the two will be what she needs to make on the sixth day.  I.e., letting i represent the income needed on day six:<BR>\n" );
document.write( "i = 2340 - 1380<BR>\n" );
document.write( "i = 960\r<BR>\n" );
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document.write( "Tina needs to earn $960 on her sixth day of work to have a mean income of $390 for the six days.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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