document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717756>Question 717756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help i keep getting a negative \r<BR>\n" );
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document.write( "peanuts sell for three dollars a pound cashews sell for six dollars a pound how many pounds of cashews should be mixed with tweleve pounds of peanuts to obtain a mixture selling for four dollars and twenty cents a pound </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440511 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=440511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Knowns:<BR>\n" );
document.write( "a) peanuts cost $3/lb<BR>\n" );
document.write( "b) cashews cost $6/lb<BR>\n" );
document.write( "c) mixture uses 12lb of peanuts<BR>\n" );
document.write( "d) the mixture costs $4.20/lb<BR>\n" );
document.write( "Unknown:<BR>\n" );
document.write( "1) how many pounds of cashews are needed?<BR>\n" );
document.write( "Let c = number of pounds of cashews<BR>\n" );
document.write( "What relationship do we use get c?<BR>\n" );
document.write( "\"The cost of the peanuts plus the cost of the cashews equals the cost of the mixture\", wherein the cost is the product of the cost per pound and the number of pounds. This relationship gives us the following equation,<BR>\n" );
document.write( "(1) 3*12 + 6*c = 4.20*(12 + c) or<BR>\n" );
document.write( "(2) 36 + 6*c = 50.4 + 4.2*c or<BR>\n" );
document.write( "(3) 1.8*c = 14.4 or<BR>\n" );
document.write( "(4) c = 8<BR>\n" );
document.write( "Let's check this using (1).<BR>\n" );
document.write( "Is (3*12 + 6*8 = 4.2*(12 + 8))?<BR>\n" );
document.write( "Is (36 + 48 = 4.2*20)?<BR>\n" );
document.write( "Is (84 = 84)? Yes<BR>\n" );
document.write( "Answer: Use 8 pounds of cashews.<BR>\n" );
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