document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870228>Question 870228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juan's band produced a number of CDs to sell at a gig. The batch of CDs cost $170 to make and each CD was sold for $2.50 more than it cost to produce. Juan gave 2 CDs to his friends, but sold the rest for a total of $198. How many CDs did Juan produce?\r<BR>\n" );
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document.write( "So i said that $5 in profit= 2 CDs. Then i did 198-170= $28 profit. Then I did 28/5 to get the amount of CDs he created. I think that was wrong because it came out as a decimal answer and you can't really have part of a CD. I don't know who to solve this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524772 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Juan's band produced a number of CDs to sell at a gig. The batch of CDs cost $170 to make and each CD was sold for $2.50 more than it cost to produce. Juan gave 2 CDs to his friends, but sold the rest for a total of $198. How many CDs did Juan produce?\r<BR>\n" );
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document.write( "let him produce x CDs<BR>\n" );
document.write( "cost of each CD =170/x\r<BR>\n" );
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document.write( "Selling price of each CD = 170/x +5/2<BR>\n" );
document.write( "he sold 2 less ie:(x-2)<BR>\n" );
document.write( "Total sales = 198 = (170/x +5/2)(x-2)<BR>\n" );
document.write( "198= ((340+5x)/2x)(x-2)\r<BR>\n" );
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document.write( "396x=(340+5x)(x-2)\r<BR>\n" );
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document.write( "396x=340x-680+5x^2-10x<BR>\n" );
document.write( "5x^2-66x-680=0<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( "5x^2-100x+34x-680=0<BR>\n" );
document.write( "5x(x-20)+34(x-20)=0<BR>\n" );
document.write( "(x-20)(5x+34)=0<BR>\n" );
document.write( "x=20 taking the positive root<BR>\n" );
document.write( "he produced 20 CDs </SPAN>\n" );
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