document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235976>Question 235976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A chemist wants to create 60 grams of an nickel alloy that is 65% pure.  She has one mixture of an nickel alloy that is 45% pure and another mixture that is 75% pure.   How much of each mixture must she use?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173771 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=173771\">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;\" > = grams of 45% mixture to be used<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;\" > = grams of 75% mixture to be used<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+=+60 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" > grams<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.45a+%2B+.75b ALIGN=MIDDLE  ALT=\".45a+%2B+.75b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pure nickel in final mixture<BR>\n" );
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document.write( "In words:<BR>\n" );
document.write( "( grams of pure nickel in final mixture )/(total grams) = 65%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.45a+%2B+.75b%29+%2F+60+=+.65 ALIGN=MIDDLE  ALT=\"%28.45a+%2B+.75b%29+%2F+60+=+.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.45a+%2B+.75b+=+39 ALIGN=MIDDLE  ALT=\".45a+%2B+.75b+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45a+%2B+75b+=+3900 ALIGN=MIDDLE  ALT=\"45a+%2B+75b+=+3900\"   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=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract<BR>\n" );
document.write( "(1) from (3)<BR>\n" );
document.write( "(3)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45a+%2B+75b+=+3900 ALIGN=MIDDLE  ALT=\"45a+%2B+75b+=+3900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-45a+-+45b+=+-2700 ALIGN=MIDDLE  ALT=\"-45a+-+45b+=+-2700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30b+=+1200 ALIGN=MIDDLE  ALT=\"30b+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+40 ALIGN=MIDDLE  ALT=\"b+=+40\"   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+=+60 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+40+=+60 ALIGN=MIDDLE  ALT=\"a+%2B+40+=+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+20 ALIGN=MIDDLE  ALT=\"a+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "20 grams of the 45% mixture and 40 grams of the 75% mixture are needed<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.45a+%2B+.75b%29+%2F+60+=+.65 ALIGN=MIDDLE  ALT=\"%28.45a+%2B+.75b%29+%2F+60+=+.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.45%2A20+%2B+.75%2A40%29+%2F+60+=+.65 ALIGN=MIDDLE  ALT=\"%28.45%2A20+%2B+.75%2A40%29+%2F+60+=+.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+9+%2B+30%29+%2F+60+=+.65 ALIGN=MIDDLE  ALT=\"%28+9+%2B+30%29+%2F+60+=+.65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39+=+.65%2A60 ALIGN=MIDDLE  ALT=\"39+=+.65%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39+=+39 ALIGN=MIDDLE  ALT=\"39+=+39\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );