document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67414>Question 67414</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1565770390/algebrahomeworkh>Advanced mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Michelle had two containers, each containing a mixture of alcohol and disinfectant.  One was 40% disinfectant and the other was 80% disinfectant.  How much of each should be used to get 600 milliliters of a solution that is 50% disinfectant? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47969 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=47969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x= amount of 80% <BR>\n" );
document.write( "Then 600-x= amount of 40%\r<BR>\n" );
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document.write( "Now we know that the amount of pure disinfectant in the 80% mixture (.8x) plus the amount of pure disinfectant in the 40% misture .4(600-x) must equal the amount of pure disinfectant in the final solution .5(600).  So our equation to solve is:\r<BR>\n" );
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document.write( ".8x+.4(600-x)=.5(600)  simplifying we get\r<BR>\n" );
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document.write( ".8x+240-.4x=300  subtract 240 from both sides and collect like terms:\r<BR>\n" );
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document.write( ".4x=60<BR>\n" );
document.write( "x=150  ml -----------------amount of 80% solution\r<BR>\n" );
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document.write( "600-x=600-150=450 ml-----------amount of 40% solution\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "450(.4)+150(.8)=.5(600)<BR>\n" );
document.write( "180+120=300<BR>\n" );
document.write( "300=300\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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