document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101750>Question 101750</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028253264/algebrahomeworkh>algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the nut house sells walnuts for $4.00 a pound and cashews for $7.00 a pound. how many pounds of CASHEWS should be mixed with 10 pounds of walnuts to obtain a mixture that sells for $5.50 a pound? how do i figure out how many pounds of cashews should be mixed with the 10 pounds of walnuts? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73990 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=73990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of pounds of cashews needed<BR>\n" );
document.write( "Value of the cashews=$7x \r<BR>\n" );
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document.write( "Value of the walnuts=$4*10\r<BR>\n" );
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document.write( "Value of the final mixture $5.50*(10+x)\r<BR>\n" );
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document.write( "Now we know that the value of the nuts before the mixture is equal to the value of the nuts after the mixture.  So we have:<BR>\n" );
document.write( "($ are understood)<BR>\n" );
document.write( "7x+4*10=5.50*(10+x)  get rid of parens\r<BR>\n" );
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document.write( "7x+40=55+5.5x  subtract 40 and also 5.5x from both sides\r<BR>\n" );
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document.write( "7x+40-40-5.5x=55-40+5.5x-5.5x  collect like terms\r<BR>\n" );
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document.write( "1.5x=15<BR>\n" );
document.write( "x=10---------------------------------number of pounds of cashews needed\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "7*10+4*10=5.5*20<BR>\n" );
document.write( "70+40=110<BR>\n" );
document.write( "110=110\r<BR>\n" );
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document.write( "Hope this helps----ptaylor </SPAN>\n" );
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