document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77099>Question 77099</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072495626/algebrahomeworkh>ALGEBRA  Beginning and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 38.  Mixture of Medicine.<BR>\n" );
document.write( "The dosage of a medicine ordered by a doctor is 40 milliliters (ml) of a 16% solution.  A nurse has available both  a 20% solution and a 4% solution of this medicine.  How many milliliters of each could be mixed to prepare this 40-ml dosage? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55255 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=amount of 4% solution<BR>\n" );
document.write( "Then 40-x=amount of 20% solution<BR>\n" );
document.write( " Now we know that the amount of pure medicine in the 4% solution (0.04x) plus the amount of pure medicine in the 20% solution 0.20(40-x) must equal the amount of pure medicine in the final solution 0.16(40).  So, our equation to solve is:\r<BR>\n" );
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document.write( "0.04x+0.20(40-x)=0.16(40) get rid of parens\r<BR>\n" );
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document.write( "0.04x+8-0.20x=6.4  subtract 8 from both sides<BR>\n" );
document.write( "0.04x+8-8-0.20x=6.4-8  collect like terms\r<BR>\n" );
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document.write( "-0.16x=-1.6  divide both sides by -0.16<BR>\n" );
document.write( "x=10 ml--------------------------------------amount of 4% solution\r<BR>\n" );
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document.write( "40-x=40-10=30 ml-----------------------------amount of 20% solution\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "0.04(10)+0.20(30)=0.16(40)<BR>\n" );
document.write( "0.4+6-6.4<BR>\n" );
document.write( "6.4=6.4\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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