document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194097>Question 194097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a retailer spent $48.00 to purchase a number of special mugs. 2 broken in store, but by selling each of remaining mugs for $3.00 above original cost per mug, made $22.00 profit.\r<BR>\n" );
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document.write( "a. if the price for n mugs is $48, how can i express the cost per mug?<BR>\n" );
document.write( "b. using answer in step a, how do i express selling price per mug?<BR>\n" );
document.write( "c. since two broken how do i express # of mugs available for sale?<BR>\n" );
document.write( "d. using b and c construct expression for amount of 4 made on sale of remaining<BR>\n" );
document.write( "e. how do i express relationship between money made, the cost and the profit\r<BR>\n" );
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document.write( "what i come up so far.......still confused as exactly how to express each listed above...thanks\r<BR>\n" );
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document.write( "Let n = the number of mugs purchased by the retailer<BR>\n" );
document.write( "Let n-2 = the number of mugs available for sale (the retailer broke two)<BR>\n" );
document.write( "Let (48/n) - the cost of each mug purchased by the retailer ($48 spent divided by the number of mugs)<BR>\n" );
document.write( "If she sold each mug for a 3 profit<BR>\n" );
document.write( "(3+(48/n)) is the sale price of each mug <BR>\n" );
document.write( "(n-2)(3+(48/n)) = the total sales (the number of mugs sold*the price)<BR>\n" );
document.write( "the total sales = cost + $22 profit<BR>\n" );
document.write( "(n-2)(3+(48/n))=48+$22\r<BR>\n" );
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document.write( "If (n-2)(48/n+3) - 48 = 22 then expanding brackets:- <BR>\n" );
document.write( "48 - 96/n + 3n - 6 - 48 = 22 and rearranging <BR>\n" );
document.write( "3n - 96/n - 28 = 0 and multiplying through by n gives<BR>\n" );
document.write( "3n^2 - 28n - 96 = 0 which is the standard form of a Q.E.<BR>\n" );
document.write( "Factorising to (3n + 8)(n - 12) = 0 therefore:- <BR>\n" );
document.write( "n = - 8/3 or 12 \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145690 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=145690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a retailer spent $48.00 to purchase a number of special mugs. 2 broken in store, but by selling each of remaining mugs for $3.00 above original cost per mug, made $22.00 profit. <BR>\n" );
document.write( "a. if the price for n mugs is $48, how can i express the cost per mug?<BR>\n" );
document.write( "Ans: 48/n<BR>\n" );
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document.write( "b. using answer in step a, how do i express selling price per mug?<BR>\n" );
document.write( "Ans: (48/n)+3 dollars<BR>\n" );
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document.write( "c. since two broken how do i express # of mugs available for sale?<BR>\n" );
document.write( "Ans: n-2<BR>\n" );
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document.write( "d. using b and c construct expression for amount of 4 made on sale of remaining<BR>\n" );
document.write( "Ans: ? What do you mean by \"amount of 4\" ?<BR>\n" );
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document.write( "e. how do i express relationship between money made, the cost and the profit <BR>\n" );
document.write( "what i come up so far.......still confused as exactly how to express each listed above...thanks <BR>\n" );
document.write( "Let n = the number of mugs purchased by the retailer<BR>\n" );
document.write( "Let n-2 = the number of mugs available for sale (the retailer broke two)<BR>\n" );
document.write( "Let (48/n) - the cost of each mug purchased by the retailer ($48 spent divided by the number of mugs)<BR>\n" );
document.write( "If she sold each mug for a 3 profit<BR>\n" );
document.write( "(3+(48/n)) is the sale price of each mug <BR>\n" );
document.write( "(n-2)(3+(48/n)) = the total sales (the number of mugs sold*the price)<BR>\n" );
document.write( "the total sales = cost + $22 profit<BR>\n" );
document.write( "(n-2)(3+(48/n))=48+$22 \r<BR>\n" );
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document.write( "If (n-2)(48/n+3) - 48 = 22 then expanding brackets:- <BR>\n" );
document.write( "48 - 96/n + 3n - 6 - 48 = 22 and rearranging <BR>\n" );
document.write( "3n - 96/n - 28 = 0 and multiplying through by n gives<BR>\n" );
document.write( "3n^2 - 28n - 96 = 0 which is the standard form of a Q.E.<BR>\n" );
document.write( "Factorising to (3n + 8)(n - 12) = 0 therefore:- <BR>\n" );
document.write( "n = - 8/3 or 12 <BR>\n" );
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document.write( "That all looks good to me.  <BR>\n" );
document.write( "Accept the solution,  n = 12.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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