document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164273>Question 1164273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A nut mixture consists of almonds and cashews. Almonds are $4.45 per pound, and cashews are $6.45 per pound. How many pounds of each type of nut should be mixed to produce 15 lbs selling for $5.25  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 #788583 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=788583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A typical setup using the usual formal algebraic method:<br><BR>\n" );
document.write( "x pounds of almonds at $4.45 per pound, plus (15-x) pounds of cashews at 6.45 per pound, equals 15 pounds at $5.25 per pound:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.45%28x%29%2B6.45%2815-x%29+=+5.25%2815%29 ALIGN=MIDDLE  ALT=\"4.45%28x%29%2B6.45%2815-x%29+=+5.25%2815%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The solution uses basic algebra; but some of the calculations are not simple.<br><BR>\n" );
document.write( "I leave it to you to finish the solution using that method.<br><BR>\n" );
document.write( "Here is a quick an easy way to solve two-part mixture problems like this, if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "(1) Picture the three prices on a number line: 4.45, 5.25, and 6.45.<BR>\n" );
document.write( "(2) The difference between 4.45 and 6.45 is 2.00; the difference between 4.45 and 5.25 is 0.80.  The ratio 0.80/2.00 is 2/5.<BR>\n" );
document.write( "(3) So the price per pound of the mixture is 2/5 of the way from the lower price to the higher.  That means 2/5 of the mixture has to be the higher priced nuts.<br><BR>\n" );
document.write( "ANSWER: 2/5 of 15 pounds, or 6 pounds, of cashews; the other 9 pounds of almonds.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "6(6.45)+9(4.45) = 38.70+40.05 = 78.75<BR>\n" );
document.write( "15(5.25) = 78.75<br><BR>\n" );
document.write( " </SPAN>\n" );
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