document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288736>Question 288736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much of a 10% saline solution should be mixed with a 20% saline solution to obtain 1000 milliters of a 12% saline solution?<BR>\n" );
document.write( "Use a system of equations and substitution to solve each problem.<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209241 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let V1 = the volume of the 10% solution.<BR>\n" );
document.write( "Let V2= the volume of the 20% solution.\r<BR>\n" );
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document.write( "Working in Litres (1 Litre = 1000mL), and decimals instead of percents (i.e. 12%=0.12)\r<BR>\n" );
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document.write( "Eqn 1:  0.10*V1 + 0.20*V2 = 0.12*1.0<BR>\n" );
document.write( "Eqn 2: V1 + V2 = 1.0 L\r<BR>\n" );
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document.write( "Isolate V2 in equation 2:\r<BR>\n" );
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document.write( "V2 = 1 - V1\r<BR>\n" );
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document.write( "Substitute this value for V2 into Eqn 1:\r<BR>\n" );
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document.write( "0.10*V1 + 0.20(1-V1) = 0.12<BR>\n" );
document.write( "-0.10*V1 + 0.20 = 0.12<BR>\n" );
document.write( "-0.10*V1 = -0.08<BR>\n" );
document.write( "V1 = 0.8\r<BR>\n" );
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document.write( "Eqn 2 tells us that V1 + V2 must equal 1.00 Litres\r<BR>\n" );
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document.write( "Therefore V2=1-0.8\r<BR>\n" );
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document.write( "V2=0.2 L\r<BR>\n" );
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document.write( "So you would need 800 mL (0.8 L) of the 10% solution and 200mL (0.2L) of the 20% solution.\r<BR>\n" );
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document.write( "Hope this helps. If you have any questions, just let me know! </SPAN>\n" );
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