document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762291>Question 762291</A>: <I><SPAN STYLE=\"word-break: break-all;\"> June, an owner of a coffee stand, marked down the price of a latte between 7:00 A.M. and 8:00 A.M. from $2.00 a cup. If she grossed $98.69 from the latte sale and we know that she never sells a latte for less than a dollar, how many lattes did she sell between 7:00 A.M. and 8:00 A.M.? Explain your reasoning </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463869 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=463869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Originally price was $2.00 per cup but was then reduced to 2-d per cup using d as the amount discounted.\r<BR>\n" );
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document.write( "Unknown is, how many cups of this latte were sold.  Call the number, n.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-d%29%2An=98.69 ALIGN=MIDDLE  ALT=\"%282-d%29%2An=98.69\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.00%3C2-d ALIGN=MIDDLE  ALT=\"1.00%3C2-d\"   DISABLED_style= \"max-width:90%; height:auto;\" > as expected condition.  This condition is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%3E0 ALIGN=MIDDLE  ALT=\"d%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%3C1 ALIGN=MIDDLE  ALT=\"d%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cd%3C1 ALIGN=MIDDLE  ALT=\"0%3Cd%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The answer is between two inclusive extremes.<BR>\n" );
document.write( "(2-0.01)n=98.69  and  1*n=98.69\r<BR>\n" );
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document.write( "Need the whole number n between 1.99n=98.69 and 1*n=98.69.<BR>\n" );
document.write( "Anything even near the 1$/latte value will not do, selling one or two or so few latte's should not be expected to achieve revenue over 90 dollars.  <BR>\n" );
document.write( "Looking at the other end, from the (2-0.01)n limit gives easily more meaningful possibilities.\r<BR>\n" );
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document.write( "Not being able to find an efficient algebraic way to solve this, I resorted to a simple BASIC program and this program shows 71 cups of latte at $1.39 per latte to be the best answer.\r<BR>\n" );
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document.write( "Program used was this code:<BR>\n" );
document.write( "for i=1 to 99<BR>\n" );
document.write( "n=98.69/((99+i)/100)<BR>\n" );
document.write( "print n;\"      \";(99+i)/100<BR>\n" );
document.write( "next i\r<BR>\n" );
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document.write( " </SPAN>\n" );
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