document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870420>Question 870420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A doctor’s prescription calls for a daily intake containing 70 mg of vitamin C and 50 mg of Vitamin D.  Your pharmacy stocks two compounds that can be used: one contains 40% vitamin C and 50% vitamin D, the other 40% vitamin C and 20% vitamin D.  How many milligrams of each compound should be mixed to fill the prescription? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #524843 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=524843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A doctor’s prescription calls for a daily intake containing 70 mg of vitamin C and 50 mg of Vitamin D. Your pharmacy stocks two compounds that can be used: X contains 40% vitamin C and 50% vitamin D, and Y contains 40% vitamin C and 20% vitamin D. How many milligrams of each compound should be mixed to fill the prescription?<BR>\n" );
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document.write( "Vit C Equation: 0.4x + 0.4y = 70 mg<BR>\n" );
document.write( "Vit D Equatiion:0.5x + 0.2y = 50 mg<BR>\n" );
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document.write( "4x + 4y = 700<BR>\n" );
document.write( "5x + 2y = 500<BR>\n" );
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document.write( "Modify for elimination:<BR>\n" );
document.write( "4x + 4y = 700<BR>\n" );
document.write( "10x + 4y = 1000<BR>\n" );
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document.write( "6x = 300<BR>\n" );
document.write( "x = 50 mg (amt of the \"X\" compound needed)<BR>\n" );
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document.write( "Solve for \"y\":<BR>\n" );
document.write( "x + y = 175<BR>\n" );
document.write( "50 + y = 175<BR>\n" );
document.write( "y = 125 mg (amt of the \"Y\" compound needed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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