document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271155>Question 271155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A store owner has two different blends of coffee. Brand A sells for $10.50/lb and Brand B sells for $5.75/lb. The owner wants to create a 25 lb mixture of Brand A and B to sell for $8.22 a pound. How much of each blend should he use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198592 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=198592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In words:<BR>\n" );
document.write( "(cost of Brand A in mix) + (cost of brand B in mix) = cost of mix<BR>\n" );
document.write( "which is the same as:<BR>\n" );
document.write( "(pounds of Brand A in mix) x (cost per pound) + (pounds of brand B in mix) x (cost per pound) = pounds of mix) x (cost per pound of mix)<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of brand A in mix<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of brand B in mix<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+%2B+B+=+25 ALIGN=MIDDLE  ALT=\"A+%2B+B+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A10.5+%2B+B%2A5.75+=+25%2A8.22 ALIGN=MIDDLE  ALT=\"A%2A10.5+%2B+B%2A5.75+=+25%2A8.22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050A+%2B+575B+=+20550 ALIGN=MIDDLE  ALT=\"1050A+%2B+575B+=+20550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, from (1),<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+25+-+A ALIGN=MIDDLE  ALT=\"B+=+25+-+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By substitution:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050A+%2B+575%2A%2825-+A%29+=+20550 ALIGN=MIDDLE  ALT=\"1050A+%2B+575%2A%2825-+A%29+=+20550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1050A+%2B+14375+-+575A+=+20550 ALIGN=MIDDLE  ALT=\"1050A+%2B+14375+-+575A+=+20550\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=475A+=+6175 ALIGN=MIDDLE  ALT=\"475A+=+6175\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+13 ALIGN=MIDDLE  ALT=\"A+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+25+-+A ALIGN=MIDDLE  ALT=\"B+=+25+-+A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+25+-+13 ALIGN=MIDDLE  ALT=\"B+=+25+-+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+=+12 ALIGN=MIDDLE  ALT=\"B+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "He needs 13 pounds of brand A and 12 pounds of brand B<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A10.5+%2B+B%2A5.75+=+25%2A8.22 ALIGN=MIDDLE  ALT=\"A%2A10.5+%2B+B%2A5.75+=+25%2A8.22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2A10.5+%2B+12%2A5.75+=+25%2A8.22 ALIGN=MIDDLE  ALT=\"13%2A10.5+%2B+12%2A5.75+=+25%2A8.22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=136.5+%2B+69+=+205.5 ALIGN=MIDDLE  ALT=\"136.5+%2B+69+=+205.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=205.5+=+205.5 ALIGN=MIDDLE  ALT=\"205.5+=+205.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );