document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=898715>Question 898715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tea merchant mixes some black tea costing $40 per pound with 3 lb of Earl Grey tea costing $50 per pound. How many pounds of the black tea should be used if the merchant wants a blend that costs between $43 and $46 per pound? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804571 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = pounds of black tea\r<BR>\n" );
document.write( "\n" );
document.write( "Lower bound:<BR>\n" );
document.write( "43 < (40x + (50)(3))/(x + 3)<BR>\n" );
document.write( "43(x + 3) < 40x + 150<BR>\n" );
document.write( "43x + 129 < 40x + 150<BR>\n" );
document.write( "3x < 21<BR>\n" );
document.write( "x < 7\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Upper bound:<BR>\n" );
document.write( "(40x + 150)/(x + 3) < 46<BR>\n" );
document.write( "40x + 150 < 46x + 138<BR>\n" );
document.write( "-6x < -12<BR>\n" );
document.write( "x > 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The merchant can use anywhere between 3 and 6 pounds of tea, inclusive. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );