document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=692994>Question 692994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A nut shop sells almonds for $7.75 per pound and peanuts for $3.25 per pound. in order to sell an overstock of peanuts, the shop owner decides to mix the peanuts and almonds. How many pounds of each kind of nut are in a 4 pound mixture that costs $19?\r<BR>\n" );
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document.write( ">>>I do not know how to set up the equation my professor doesn't explain problems well. Also, I want to know what are each of the steps involved in this equation  I tried finding a similar problem in the book but was unsuccessful. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427212 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of almonds needed<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of peanuts needed<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+4+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++7.75a+%2B+3.25b++=+19+ ALIGN=MIDDLE  ALT=\"++7.75a+%2B+3.25b++=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that this is just <BR>\n" );
document.write( "( cost of almonds used ) + ( cost of peanuts used ) = ( cost of mixture )<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Most of the other problems are a little different.<BR>\n" );
document.write( "Most give the cost/pound of the final mixture<BR>\n" );
document.write( "instead of the total cost of the final mixture.<BR>\n" );
document.write( "It doesn't really matter- just an observation.<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+775a+%2B+325b+=+1900+ ALIGN=MIDDLE  ALT=\"+775a+%2B+325b+=+1900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+325+ ALIGN=MIDDLE  ALT=\"+325+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+775a+%2B+325b+=+1900+ ALIGN=MIDDLE  ALT=\"+775a+%2B+325b+=+1900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-325a+-+325b+=+-1300+ ALIGN=MIDDLE  ALT=\"+-325a+-+325b+=+-1300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+450a+=+600+ ALIGN=MIDDLE  ALT=\"+450a+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+1.333+ ALIGN=MIDDLE  ALT=\"+a+=+1.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+4+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.333+%2B+b+=+4+ ALIGN=MIDDLE  ALT=\"+1.333+%2B+b+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+4+-+1.333+ ALIGN=MIDDLE  ALT=\"+b+=+4+-+1.333+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+2.667+ ALIGN=MIDDLE  ALT=\"+b+=+2.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.333 pounds of almonds are needed<BR>\n" );
document.write( "2.667 pounds of peanuts are needed<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++7.75a+%2B+3.25b++=+19+ ALIGN=MIDDLE  ALT=\"++7.75a+%2B+3.25b++=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++7.75%2A1.333+%2B+3.25%2A2.667++=+19+ ALIGN=MIDDLE  ALT=\"++7.75%2A1.333+%2B+3.25%2A2.667++=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++10.3307+%2B+8.6678+=+19+ ALIGN=MIDDLE  ALT=\"++10.3307+%2B+8.6678+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18.998+=+19+ ALIGN=MIDDLE  ALT=\"+18.998+=+19+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think the error is due to rounding off </SPAN>\n" );
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