document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841637>Question 841637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need your help on a word problem. This is it: Oh Nuts! sells pistachio kernels for $10.00 per pound and almonds for $8.00 per pound. How much of each type should be used to make a 50-lb blend that sells for $8.80 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 #507082 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=507082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of pistachio kernels needed<BR>\n" );
document.write( "Then 50-x=amount of almonds needed\r<BR>\n" );
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document.write( "Well now we know that the total cost of the nuts before they are mixed together ($10x+ $8.00(50-x)) has to equal the total cost of the mixture (50*$8.80), soooo:<BR>\n" );
document.write( "10x+8.00(50-x)=50*8.80  ($ understood)<BR>\n" );
document.write( "10x+400-8x=440  collect like terms<BR>\n" );
document.write( "2x=40<BR>\n" );
document.write( "x=20 lb---amount of pistachio kernels needed<BR>\n" );
document.write( "50-x=50-20=30 amount of almonds needed\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "20*10 +30*8=50*8.80<BR>\n" );
document.write( "200+240=440<BR>\n" );
document.write( "440=440\r<BR>\n" );
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document.write( "Hope this helps--ptaylor  </SPAN>\n" );
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