document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155346>Question 1155346</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A coffee distributor needs to mix a(n) Mexican Shade Grown coffee blend that normally sells for $10.10 per pound with a Arabian Mocha coffee blend that normally sells for $14.30 per pound to create 20 pounds of a coffee that can sell for $13.46 per pound. How many pounds of each kind of coffee should they mix? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777922 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=777922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Using a traditional algebraic approach....<br><BR>\n" );
document.write( "x pounds at $10.10 per pound, plus (20-x) pounds at $14.30 per pound equals 20 pounds at $13.46 per pound:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.10%28x%29%2B14.30%2820-x%29+=+13.46%2820%29 ALIGN=MIDDLE  ALT=\"10.10%28x%29%2B14.30%2820-x%29+=+13.46%2820%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.10x%2B286-14.30x+=+269.2 ALIGN=MIDDLE  ALT=\"10.10x%2B286-14.30x+=+269.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<br><BR>\n" );
document.write( "You can finish the problem by that method....<br><BR>\n" );
document.write( "Here is a method for solving this problem by a very different method which requires less time and effort.<br><BR>\n" );
document.write( "Key idea: the ratio in which the two ingredients must be mixed is exactly determined by where the price of the mixture lies between the prices of the two ingredients.<br><BR>\n" );
document.write( "(1) 14.30-10.10 = 4.20<BR>\n" );
document.write( "(2) 13.46-10.10 = 3.36<BR>\n" );
document.write( "(3) The mixture price of $13.46 per pound is 336/420 = 84/105 = 4/5 of the way from the $10.10 price of the first ingredient and the $14.30 price of the second.<BR>\n" );
document.write( "(4) That means 4/5 of the mixture needs to be the second ingredient.<br><BR>\n" );
document.write( "ANSWER: 4/5 of 20 pounds, or 16 pounds, of the Arabian Mocha blend; the remaining 4 pounds of the Mexican blend.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "16(14.30)+4(10.10) = 269.2<BR>\n" );
document.write( "20(13.46) = 269.2<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );