document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=801751>Question 801751</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 70 mg of vitamin B1 and 180 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 #483620 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=483620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = how many mg. of the first powder.<BR>\n" );
document.write( "Let y =  how many mg. the second powder.\r<BR>\n" );
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document.write( "Accounting for vB1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.10x%2B0.15y=70 ALIGN=MIDDLE  ALT=\"0.10x%2B0.15y=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Accounting for vB2, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.30x%2B0.20y=180 ALIGN=MIDDLE  ALT=\"0.30x%2B0.20y=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Look carefully how the units work to see that these equations make sense.  The accountings are for milligrams of each B vitamin.\r<BR>\n" );
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document.write( "Simplify the system, multiplying each equation by only 10:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%283%2F2%29y=700 ALIGN=MIDDLE  ALT=\"x%2B%283%2F2%29y=700\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=1800 ALIGN=MIDDLE  ALT=\"3x%2B2y=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Integer coefficients would be more comfortable, so maybe try multiply the first equation by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3y=1400 ALIGN=MIDDLE  ALT=\"2x%2B3y=1400\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B2y=1800 ALIGN=MIDDLE  ALT=\"3x%2B2y=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitution seems like might be easier than trying elimination, so,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=1400-3y ALIGN=MIDDLE  ALT=\"2x=1400-3y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=700-%283%2F2%29y ALIGN=MIDDLE  ALT=\"x=700-%283%2F2%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "substitute into the other equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28700-%283%2F2%29y%29%2B2y=1800 ALIGN=MIDDLE  ALT=\"3%28700-%283%2F2%29y%29%2B2y=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2100-%289%2F2%29y%2B2y=1800 ALIGN=MIDDLE  ALT=\"2100-%289%2F2%29y%2B2y=1800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2100-1800=%289%2F2%29y-2y ALIGN=MIDDLE  ALT=\"2100-1800=%289%2F2%29y-2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2F2-4%2F2%29y=300 ALIGN=MIDDLE  ALT=\"%289%2F2-4%2F2%29y=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F2%29y=300 ALIGN=MIDDLE  ALT=\"%285%2F2%29y=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=300%282%2F5%29=highlight%28120%29 ALIGN=MIDDLE  ALT=\"y=300%282%2F5%29=highlight%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > milligrams of the second powder.  Use any formula to find value for x. </SPAN>\n" );
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