document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33681>Question 33681</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536753601/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A retailer spent $48 to purchase a number of special mugs. Two of them were broken i the store, but by selling each of the remaining mugs for $3 above the original cost per mug, she made a total profit of $22. Construct an equation that will allow us solve for the number of mugs, denoted by n, that were originally purchased. If the price for n mugs is $48, how can we express the cost per mug? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20097 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=20097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number of mugs be x<BR>\n" );
document.write( "so cost of each mug is 48/x.\r<BR>\n" );
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document.write( "cost of mug for selling = 48/x +3.(three more)\r<BR>\n" );
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document.write( "total number of mugs sold = x-2.\r<BR>\n" );
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document.write( "total profit= 48 + 22 = 70.00\r<BR>\n" );
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document.write( "Equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848%2Fx%2B3%29+%28x-2%29+=+70 ALIGN=MIDDLE  ALT=\"%2848%2Fx%2B3%29+%28x-2%29+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Expand:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48-96%2Fx%2B3x-6=70 ALIGN=MIDDLE  ALT=\"48-96%2Fx%2B3x-6=70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multply the whole equation by x to remove the fraction adn simplify:<BR>\n" );
document.write( "48x-96+3x^2-6x=70x<BR>\n" );
document.write( "3x^2-28x-96=0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( " (x-12)(3x+8)<BR>\n" );
document.write( "x=12\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );