document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124265>Question 124265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A merchant blends tea that sells for $3.45 a lb. with tea that sells for $1.75 a lb. to produce 70 lb. of a mixture that sells for $2.75 a lb. <BR>\n" );
document.write( "Contains<BR>\n" );
document.write( "? of the $3.45 a lb<BR>\n" );
document.write( "? $1.75 a lb. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91061 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=91061\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is given that there will be 70 lb of mixture of the teas<BR>\n" );
document.write( "Also given is that the mixture will sell for $2.75 / lb.<BR>\n" );
document.write( "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;\" > = lbs of $3.45 tea<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;\" > = lbs of $1.75 tea<BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > account for the whole mixture,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+70 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by -1.75<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2A1.75+-+b%2A1.75+=+-122.5 ALIGN=MIDDLE  ALT=\"-a%2A1.75+-+b%2A1.75+=+-122.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+70%2A2.75 ALIGN=MIDDLE  ALT=\"%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+70%2A2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+192.5 ALIGN=MIDDLE  ALT=\"%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+192.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add (1) and (2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2A1.7+=+70 ALIGN=MIDDLE  ALT=\"a%2A1.7+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+41.176 ALIGN=MIDDLE  ALT=\"a+=+41.176\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+70+-+41.176 ALIGN=MIDDLE  ALT=\"b+=+70+-+41.176\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+28.823 ALIGN=MIDDLE  ALT=\"b+=+28.823\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check<BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-a%2A1.75+-+b%2A1.75+=+-122.5 ALIGN=MIDDLE  ALT=\"-a%2A1.75+-+b%2A1.75+=+-122.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+70%2A2.75 ALIGN=MIDDLE  ALT=\"%28a%2A3.45%29+%2B+%28b%2A1.75%29+=+70%2A2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41.176%2A3.45+%2B+28.823%2A1.75+=+70%2A2.75 ALIGN=MIDDLE  ALT=\"41.176%2A3.45+%2B+28.823%2A1.75+=+70%2A2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=142.057+%2B+50.44+=+192.5 ALIGN=MIDDLE  ALT=\"142.057+%2B+50.44+=+192.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=192.497+=+192.5 ALIGN=MIDDLE  ALT=\"192.497+=+192.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > close enough<BR>\n" );
document.write( "So, I get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41.176 ALIGN=MIDDLE  ALT=\"41.176\"   DISABLED_style= \"max-width:90%; height:auto;\" > lbs of the $3.45 tea and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28.823 ALIGN=MIDDLE  ALT=\"28.823\"   DISABLED_style= \"max-width:90%; height:auto;\" >lbs of the $1.75 tea<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );