document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198835>Question 198835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149309 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=149309\">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;\" >= ounces of brand A they need<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;\" >= ounces of brand B they need<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.35a ALIGN=MIDDLE  ALT=\".35a\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ounces of peanuts in brand A<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25b ALIGN=MIDDLE  ALT=\".25b\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ounces of peanuts in brand B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+21 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.29%2A21+=+6.09 ALIGN=MIDDLE  ALT=\".29%2A21+=+6.09\"   DISABLED_style= \"max-width:90%; height:auto;\" >= ounces of peanuts in final mixture<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "In words:<BR>\n" );
document.write( "(total ounces of peanuts) / (total ounces of mixture) = % peanuts<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+21 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.35a+%2B+.25b%29+%2F+21+=+.29 ALIGN=MIDDLE  ALT=\"%28.35a+%2B+.25b%29+%2F+21+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21 ALIGN=MIDDLE  ALT=\"21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.35a+%2B+.25b+=+6.09 ALIGN=MIDDLE  ALT=\".35a+%2B+.25b+=+6.09\"   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=.25 ALIGN=MIDDLE  ALT=\".25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.35a+%2B+.25b+=+6.09 ALIGN=MIDDLE  ALT=\".35a+%2B+.25b+=+6.09\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.25a+-+.25b+=+5.25 ALIGN=MIDDLE  ALT=\"-.25a+-+.25b+=+5.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1a+=+.84 ALIGN=MIDDLE  ALT=\".1a+=+.84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+8.4 ALIGN=MIDDLE  ALT=\"a+=+8.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+21 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+21+-+8.4 ALIGN=MIDDLE  ALT=\"b+=+21+-+8.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+12.6 ALIGN=MIDDLE  ALT=\"b+=+12.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They need 8.4 ounces of brand A and 12.6 ounces of brand B<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.35a+%2B+.25b%29+%2F+21+=+.29 ALIGN=MIDDLE  ALT=\"%28.35a+%2B+.25b%29+%2F+21+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.35%2A8.4+%2B+.25%2A12.6%29+%2F+21+=+.29 ALIGN=MIDDLE  ALT=\"%28.35%2A8.4+%2B+.25%2A12.6%29+%2F+21+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.94+%2B+3.15%29+%2F+21+=+.29 ALIGN=MIDDLE  ALT=\"%282.94+%2B+3.15%29+%2F+21+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.09%2F21+=+.29 ALIGN=MIDDLE  ALT=\"6.09%2F21+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.29+=+.29 ALIGN=MIDDLE  ALT=\".29+=+.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );