document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469632>Question 469632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the audio outlet purchased 60 cassette recorders, gave away 3 in a contest, and sold the rest at twice thier purchase price. if the store's total profit was $1188, how much did the store sell each recorder for? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322192 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Profit = Revenue - Cost<BR>\n" );
document.write( "Let p be selling price, c be purchasing price<BR>\n" );
document.write( "Revenue = (60-3)*p = 57*p<BR>\n" );
document.write( "Cost = 60*c<BR>\n" );
document.write( "We also know that selling price was twice the purchasing price<BR>\n" );
document.write( "p = 2c<BR>\n" );
document.write( "Divide by 2 on both sides<BR>\n" );
document.write( "p/2 = c<BR>\n" );
document.write( "Thus we can say Cost = 60*(p/2) = 30*p<BR>\n" );
document.write( "Now set up profit equation<BR>\n" );
document.write( "57p - 30p = 1188<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "27p = 1188<BR>\n" );
document.write( "Divide by 27 on both sides<BR>\n" );
document.write( "p = 44<BR>\n" );
document.write( "Therefore selling price was $44 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );