document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158274>Question 1158274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an electric store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800 and the highest priced stereo sell for $3000. Which of the following is the maximum amount of $3000 systems on hand if the current inventory totals $111,000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781198 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The maximum number of $3000 systems will be if most of the other systems are the $800 systems.<br><BR>\n" );
document.write( "If all 50 were the $800 systems, the total inventory would be $40,000; that is $71,000 less than the actual total.<br><BR>\n" );
document.write( "Replacing one $800 system with a $3000 system increases the total value by $2200.<br><BR>\n" );
document.write( "The number of times that can be done to make the additional $71,000 is 71000/2200 = 32.27<br><BR>\n" );
document.write( "Of course the answer has to be in whole numbers....<br><BR>\n" );
document.write( "ANSWER: The maximum possible number of $3000 systems is 32.<br><BR>\n" );
document.write( "CHECK: 32(3000)+18(800) = 110400<br><BR>\n" );
document.write( "Since the actual total inventory is $111,000, there is/are some systems that are a bit more expensive than $800.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );