document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160949>Question 160949</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>ELEMENTARY AND INTERMEDIATE ALGEBRA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Brandon gets a 40% discount on loose diamonds where he works. The cost of the setting is $250. If he plans to spend at most $1450, then what is the price range(list price) of the diamonds that he can afford? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118603 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=118603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= the price range (list price) of the diamonds that he can afford <BR>\n" );
document.write( "Now if he gets a 40% discount, then he has to pay 60% (x-0.40x) of the list price for diamonds.  So the equation we need to solve is:\r<BR>\n" );
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document.write( "0.60x+$250<=$1450 subtract $250 from each side<BR>\n" );
document.write( "0.60x+$250-$250<=$1450-$250  collect like terms<BR>\n" );
document.write( "0.60x<=$1200  divide each side by 0.60<BR>\n" );
document.write( "x<=$2000-----------------------------------price range (list price) that he can afford\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "if x=$2000 (maximum value of the diamonds that he can afford), then<BR>\n" );
document.write( "0.60*$2000+$250=$1450<BR>\n" );
document.write( "$1200+$250=$1450<BR>\n" );
document.write( "$1450=$1450\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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