document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947090>Question 947090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 20% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 80 mg of vitamin B1 and 200 mg of vitamin B2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577773 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x and y for first and second powders\r<BR>\n" );
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document.write( "First Powder:  10% B1, 30% B2<BR>\n" );
document.write( "Second Powder:  15% B1, 30% B2<BR>\n" );
document.write( "Mixture:  80 mg B1, 200 mg B2\r<BR>\n" );
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document.write( "Account for B1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1x%2B0.15y=80 ALIGN=MIDDLE  ALT=\"0.1x%2B0.15y=80\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Account for B2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3x%2B0.3y=200 ALIGN=MIDDLE  ALT=\"0.3x%2B0.3y=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply B1 equation by 100 and multiply B2 equation by 10 to form a simplified system<BR>\n" );
document.write( "of equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2810x%2B15y=8000%2C3x%2B3y=2000%29 ALIGN=MIDDLE  ALT=\"system%2810x%2B15y=8000%2C3x%2B3y=2000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Further simplify the first equation, dividing members by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282x%2B3y=1600%2C3x%2B3y=2000%29 ALIGN=MIDDLE  ALT=\"system%282x%2B3y=1600%2C3x%2B3y=2000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can use any method you know or want for solving the system.  Elimination would be<BR>\n" );
document.write( "easiest to start with.  Just subtract the first equation from the second equation to<BR>\n" );
document.write( "eliminate terms of y. Immediatly find:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=400%29 ALIGN=MIDDLE  ALT=\"highlight%28x=400%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, mg of the first powder.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y=1600-2x ALIGN=MIDDLE  ALT=\"3y=1600-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281600-2x%29%2F3 ALIGN=MIDDLE  ALT=\"y=%281600-2x%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281600-2%2A400%29%2F3 ALIGN=MIDDLE  ALT=\"y=%281600-2%2A400%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=800%29 ALIGN=MIDDLE  ALT=\"highlight%28y=800%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, mg of second powder.<BR>\n" );
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