document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001675>Question 1001675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help and show all steps and work.Thanks\r<BR>\n" );
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document.write( "A chemist has three different acid solutions. The first acid solution contains 20% acid, the second contains 30% and the third contains 75%. He wants to use all three solutions to obtain a mixture of 64 liters containing 50% acid, using 2 times as much of the 75% solution as the 30% solution. How many liters of each solution should be used?\r<BR>\n" );
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document.write( "My answers I came up with is 34,65,29.2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618758 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=618758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Variables x, y, z for low, medium, high conc. materials.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=64%2Cz%2Fy=2%2C%2820x%2B30y%2B75z%29%2F64=50%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=64%2Cz%2Fy=2%2C%2820x%2B30y%2B75z%29%2F64=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify the system to something convenient or comfortable.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2By%2Bz=64%2Cz=2y%2C4x%2B6y%2B15z=640%29 ALIGN=MIDDLE  ALT=\"system%28x%2By%2Bz=64%2Cz=2y%2C4x%2B6y%2B15z=640%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Obvious substitution for z.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%28x%2B2y=64%2Cx%2B36y=640%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%28x%2B2y=64%2Cx%2B36y=640%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using elimination subtracting the '640' equation from the '64' equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y=288%2F17=highlight%2816.94%2Aliters%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y=288%2F17=highlight%2816.94%2Aliters%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the 30% material.\r<BR>\n" );
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document.write( "You can determine x for the 20% material and the z for the 75% material yourself.<BR>\n" );
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