document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11458>Question 11458</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in the restaurant industry, and am trying to fing the correct formula to solve this question.<BR>\n" );
document.write( "If i could only spend $28. per person and i want tax and tip (totaling 27.75%) to be inclusive in this price, how much would my food total be and how much would my tax and tip be? (I can only spend $28.00 including tax and tip)\r<BR>\n" );
document.write( "\n" );
document.write( "I know the answer is $21.92 for food and $6.08 for tax and tip.<BR>\n" );
document.write( "What is the formula so i can figure out other denominations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5937 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the way you work this out. Change the tax & tip percentage to a decimal.  (27.75% = 0.2775)\r<BR>\n" );
document.write( "\n" );
document.write( "You know that the cost of the food (F) plus 27.75% of the cost of the food (tax & tip = 0.2775F) adds up to the total bill of $28.00.  This can be written as:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+%2B+%280.2775%29F+=+28.00 ALIGN=MIDDLE  ALT=\"F+%2B+%280.2775%29F+=+28.00\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281.2775%29F+=+28.00 ALIGN=MIDDLE  ALT=\"%281.2775%29F+=+28.00\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 1.2775<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+21.917 ALIGN=MIDDLE  ALT=\"F+=+21.917\"   DISABLED_style= \"max-width:90%; height:auto;\" > round this up to $21.92 Cost of the food.\r<BR>\n" );
document.write( "\n" );
document.write( "So a shortcut would be: Cost of food = the total bill divided by (1 + tax & tip) (as a decimal)\r<BR>\n" );
document.write( "\n" );
document.write( "Now subtract the cost of the food (F = $21.92) from the total bill ($28.00) and you get the tax & tip amount.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28.00+-+21.92+=+6.08 ALIGN=MIDDLE  ALT=\"28.00+-+21.92+=+6.08\"   DISABLED_style= \"max-width:90%; height:auto;\" > Tax & tip = $6.08. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );