document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57161>Question 57161</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078280249/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A single dose of a dietary supplement contains 0.2 gram of calciun and 0.2 gram of vitamin C.  A single dose of a second dietary supplement contains 0.1 gram of calcium and 0.4 gram of vitamin C. If a person wants to take 0.6 gram of calicum amd 1.2 grams of vitamin C, how many doses of each supplement should she take? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38904 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=38904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A single dose of a dietary supplement contains 0.2 gram of calciun and 0.2 gram of vitamin C. A single dose of a second dietary supplement contains 0.1 gram of calcium and 0.4 gram of vitamin C. If a person wants to take 0.6 gram of calicum amd 1.2 grams of vitamin C, how many doses of each supplement should she take?<BR>\n" );
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document.write( "Let \"a\" be the number of 1st dietary supplement and \"b\" be the number of <BR>\n" );
document.write( "2nd dietary supplement:<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "calcium: a(0.2)+b(0.1)= 0.6<BR>\n" );
document.write( "Vit C  : a(0.2)+b(0.6)=1.2<BR>\n" );
document.write( "Subtract \"calcium\" from Vit C to get:<BR>\n" );
document.write( "0.5b=0.6<BR>\n" );
document.write( "b=1.2<BR>\n" );
document.write( "Substitute into \"calcium\" to get:<BR>\n" );
document.write( "a(0.2)+(1.2)(0.1)=0.6<BR>\n" );
document.write( "0.2a +(0.12) =0.6<BR>\n" );
document.write( "0.2a=0.48<BR>\n" );
document.write( "a=2.4<BR>\n" );
document.write( "Chec the answer in Vit C.<BR>\n" );
document.write( "It checks.\r<BR>\n" );
document.write( "\n" );
document.write( "She needs 2.5 does of 1st dietary supplement and 1.2 does<BR>\n" );
document.write( "of 2nd dietary supplement.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );