document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206420>Question 206420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A retailer bought a number of special mugs for $48.  Two of the mugs were broken in the store, but by selling each of the other mugs for $3 above the original cost per mug, she made a total profit of $22.  How many mugs did she buy and at what price per mug did she sell them?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156004 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=156004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A retailer bought a number of special mugs for $48.<BR>\n" );
document.write( "  Two of the mugs were broken in the store, but by selling each of the other<BR>\n" );
document.write( " mugs for $3 above the original cost per mug, she made a total profit of $22.<BR>\n" );
document.write( "  How many mugs did she buy and at what price per mug did she sell them? <BR>\n" );
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document.write( "Let n = no. of mugs she bought<BR>\n" );
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document.write( "Price paid for each mug = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fn ALIGN=MIDDLE  ALT=\"48%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "No. of mugs sold = (n-2); two were broken<BR>\n" );
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document.write( "Selling price = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fn ALIGN=MIDDLE  ALT=\"48%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3; \"$3 above the original cost per mug,\"<BR>\n" );
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document.write( "Total revenue = 48 + 22 = $70: cost + given total profit<BR>\n" );
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document.write( "#sold * Price sold = total revenue<BR>\n" );
document.write( "(n-2) * [<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fn ALIGN=MIDDLE  ALT=\"48%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3] = 70<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "48 + 3n - 96/n - 6 = 70<BR>\n" );
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document.write( "3n - 96/n + 42 = 70<BR>\n" );
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document.write( "3n - 96/n + 42 - 70 = 0<BR>\n" );
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document.write( "3n - 96/n - 28 = 0<BR>\n" );
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document.write( "Multiply equation by n, forming a quadratic equation:<BR>\n" );
document.write( "3n^2 - 28n - 96 = 0<BR>\n" );
document.write( "Factor<BR>\n" );
document.write( "(3n +8)(n-12) = 0<BR>\n" );
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document.write( "Positive solution<BR>\n" );
document.write( "n = 12 mugs originally bought<BR>\n" );
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document.write( "Find the price:<BR>\n" );
document.write( "No. sold = 10 mugs; revenue = $70<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2F10 ALIGN=MIDDLE  ALT=\"70%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $7 for each mug<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F12 ALIGN=MIDDLE  ALT=\"48%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $4 cost <BR>\n" );
document.write( "cost + given profit<BR>\n" );
document.write( "4 + 3 = $7 </SPAN>\n" );
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