document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160552>Question 160552</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780495386230/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A store sells regular coffe for $4 a pound and a gourmet coffee for $7 a pound.  To get rid of 40 pounds of the gourmet coffee, the shopkeeper plans to make a gourmet blend to sell for $5 a pound.  How many pounds of regular coffee should be used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #118450 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=118450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of regular coffee needed\r<BR>\n" );
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document.write( "Now we know that the cost of the regular coffee (4x) plus the cost of the gourmet coffee(7*40) has to equal the cost of the final mixture (5(40+x)).  So:<BR>\n" );
document.write( "4x+7*40=5(40+x) get rid of parens (distributive)<BR>\n" );
document.write( "4x+280=200+5x subtract 200 and also 4x from each side<BR>\n" );
document.write( "4x-4x+280-200=200-200+5x-4x  collect like terms<BR>\n" );
document.write( "80=x or<BR>\n" );
document.write( "x=80 lbs -----------------amount of regular coffee needed<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "4*80+7*40=5*120<BR>\n" );
document.write( "320+280=600<BR>\n" );
document.write( "600=600\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor </SPAN>\n" );
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