document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280583>Question 280583</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coffee store will start selling a mix of two kinds of coffee: Kona and Mexican Organic. The price of Kona coffee is $7.50 per pound and the price &#8232;            of Mexican Organic coffee is $8.30 if they are sold separately. The store wants the price of the mix to be $8.00 per pound. &#8232;            How many pounds of each kind should be used to prepare 160 pounds of the mix?&#8232;&#8232;        </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203951 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Price of Kona = $7.50/lb<BR>\n" );
document.write( "Price of Mexican Organic = $8.30/lb<BR>\n" );
document.write( "x = weight of Kona coffed in the mix<BR>\n" );
document.write( "7.5x = value of the given weight of Kona coffee<BR>\n" );
document.write( "y = weight of Mexican Organic coffee in the mix,<BR>\n" );
document.write( "8.3y = value of the given weight of Mexican Organic coffee<BR>\n" );
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document.write( "We are asked to end up with 160 lb @ $8 /lb = a value of $1280.<BR>\n" );
document.write( "7.5x + 8.3y = 1280<BR>\n" );
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document.write( "We note that x+y = 160<BR>\n" );
document.write( "so it's easier to say x = 160-y or y = 160-x to define the two weights using only one variable, 'x'.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "7.5x + 8.3(160-x) = 1280<BR>\n" );
document.write( "multiply by 10 to eliminate the decimal<BR>\n" );
document.write( "75x + 83(160-x) = 12,800 <BR>\n" );
document.write( "75x + 13,280 - 83x = 12,800<BR>\n" );
document.write( "collect 'x'<BR>\n" );
document.write( "-8x + 13,280 = 12,800<BR>\n" );
document.write( "subtract 13,280 from both sides<BR>\n" );
document.write( "-8x = -480<BR>\n" );
document.write( "divide both sides by -8<BR>\n" );
document.write( "x = -480/-8 = 480/8 = 60<BR>\n" );
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document.write( "substitute<BR>\n" );
document.write( "x + y = 160<BR>\n" );
document.write( "60 + y = 160<BR>\n" );
document.write( "subtract 60 from both sides<BR>\n" );
document.write( "y = 100<BR>\n" );
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document.write( "check the values to see if we're right<BR>\n" );
document.write( "specifically, does 7.5x + 8.3y = 1280?<BR>\n" );
document.write( "7.5x = 7.5*60 = 450<BR>\n" );
document.write( "8.3y = 8.3*100 = 830<BR>\n" );
document.write( "450 + 830 = 1280<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "To make 160 lbs of a coffee blend using the Kona and Mexican Organic coffee that would be fairly priced at $8/lb, you would add 60 lb of Kona @ $7.50/lb and 100 lb of Mexican Organic @ $8.30/lb.<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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