document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166227>Question 1166227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joan has one solution that is 18% acid and a second solution that is 43% acid how many liters of each should she mix together in order to get an 80 liters solutions that is 26.5% acid  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790709 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=790709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the number of liters of the first solution.<BR>\n" );
document.write( "let y equal the number of liters of the second solution.\r<BR>\n" );
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document.write( "you have 2 equations that need to be solved simultaneously.<BR>\n" );
document.write( "they are:<BR>\n" );
document.write( "x + y = 80<BR>\n" );
document.write( ".18 * x + .43 * y = .265 * 80\r<BR>\n" );
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document.write( "multiply both sides of the first equation by .18 and simplify both equations to get:\r<BR>\n" );
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document.write( ".18 * x + .18 * y = 14.4<BR>\n" );
document.write( ".18 * x + .43 * y = 21.2\r<BR>\n" );
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document.write( "subtract the first equation from the second to get:<BR>\n" );
document.write( ".25 * y = 6.8<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 6.8 / .25 = 27.2\r<BR>\n" );
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document.write( "since x + y = 80, then x must be equal to 80 - 27.2 = 52.8.<BR>\n" );
document.write( "you have x = 52.8 and y = 27.2\r<BR>\n" );
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document.write( "x + y = 52.8 + 27.2 = 80 which is correct.<BR>\n" );
document.write( ".18 * x + .43 * y = .18 * 52.8 + .43 * 27.2 = 21.2 which is correct.<BR>\n" );
document.write( "21.2 / 80 = .265 = 26.5% which is also correct.\r<BR>\n" );
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document.write( "the solution is confirmed to be good.\r<BR>\n" );
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document.write( "your solution is that she needs to mix 52.8 liters of the 18% solution and 27.2 liters of the 43% solution to get a solution that an 80 liter solution that is 26.5% acid.\r<BR>\n" );
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