document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48222>Question 48222</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534373526/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A biologist has two brine solutions, one containing 5% salt and another containing 20% salt. How many milliliters of each solution should he mix to obtain 1 L of a solution that contains 14% salt?\r<BR>\n" );
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document.write( "Thank you so much for all your help!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31899 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=31899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A biologist has two brine solutions, one containing 5% salt and another containing 20% salt. How many milliliters of each solution should he mix to obtain 1 L of a solution that contains 14% salt?<BR>\n" );
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document.write( "5% solution DATA:<BR>\n" );
document.write( "amount = x liters  ; amount of salt = .05x liters<BR>\n" );
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document.write( "20% solution DATA:<BR>\n" );
document.write( "amount = 1-x liters ; amount of salt = 0.20(1-x) = 0.20 -0.20x liters<BR>\n" );
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document.write( "14% solution DATA:<BR>\n" );
document.write( "amount = 1 liter ; amount of salt = 0.14(1) = 0.14 liter\r<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "salt + salt = salt<BR>\n" );
document.write( "0.05x + 0.20-0.20x = 0.14<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "5x + 20 - 20x = 14<BR>\n" );
document.write( "-15x=-6<BR>\n" );
document.write( "x=2/5 = 0.4 liter (amount of 5% solution to be mixed)<BR>\n" );
document.write( "1-x=0.6 liter (amount of 20% solution to be mixed)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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