document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151779>Question 151779</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,  please explain to me how I should set up a system of equations to solve this problem.   How many liters of a 30% acid solution must be added to a 10% acid solution to obtain 32 liters of a 15% acid solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111580 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=111580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We respect everybody here but there's no harm in trying this one:<BR>\n" );
document.write( "Remember the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba%5D ALIGN=MIDDLE  ALT=\"L%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of acid = unknown????<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bs%5D ALIGN=MIDDLE  ALT=\"L%5Bs%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= liters of solution = unknown???<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba1%5D ALIGN=MIDDLE  ALT=\"L%5Ba1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= final stage of acid when mixed w/ solution<BR>\n" );
document.write( "Now, we all know when we add the volume of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=acid ALIGN=MIDDLE  ALT=\"acid\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solution ALIGN=MIDDLE  ALT=\"solution\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get 32 Liters. To show:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba%5D%2BL%5Bs%5D=L%5Ba1%5D ALIGN=MIDDLE  ALT=\"L%5Ba%5D%2BL%5Bs%5D=L%5Ba1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba%5D%2BL%5Bs%5D=32L ALIGN=MIDDLE  ALT=\"L%5Ba%5D%2BL%5Bs%5D=32L\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------> eqn 1<BR>\n" );
document.write( "Now, \"percent of concentration\" makes the difference on how many \"Liters\" of acid we need to put. Putting this into eqn,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.30L%5Ba%5Da%2B0.10L%5Bs%5D=0.15%2832%29 ALIGN=MIDDLE  ALT=\"0.30L%5Ba%5Da%2B0.10L%5Bs%5D=0.15%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------------> working eqn<BR>\n" );
document.write( "In summary of the working eqn, 30% of Liters of acid + 10% of Liters of solution equals 15% of 32 Liters of the NEW acid solution.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "In eqn 1 we get, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bs%5D=32-L%5Ba%5D ALIGN=MIDDLE  ALT=\"L%5Bs%5D=32-L%5Ba%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute in our working eqn:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.30L%5Ba%5D%2B0.10%2832-L%5Ba%5D%29=4.8 ALIGN=MIDDLE  ALT=\"0.30L%5Ba%5D%2B0.10%2832-L%5Ba%5D%29=4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.30L%5Ba%5D%2B3.2-0.10L%5Ba%5D=4.8 ALIGN=MIDDLE  ALT=\"0.30L%5Ba%5D%2B3.2-0.10L%5Ba%5D=4.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.20L%5Ba%5D=4.8-3.2 ALIGN=MIDDLE  ALT=\"0.20L%5Ba%5D=4.8-3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%280.20%29L%5Ba%5D%2Fcross%280.20%29=1.4%2F0.20 ALIGN=MIDDLE  ALT=\"cross%280.20%29L%5Ba%5D%2Fcross%280.20%29=1.4%2F0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba%5D=8L ALIGN=MIDDLE  ALT=\"L%5Ba%5D=8L\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---------------> amount of Acid Solution that must be added.<BR>\n" );
document.write( "FOR THE AMOUNT of SOLUTION, go back eqn 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2BL%5Bs%5D=32 ALIGN=MIDDLE  ALT=\"8%2BL%5Bs%5D=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bs%5D=32-8 ALIGN=MIDDLE  ALT=\"L%5Bs%5D=32-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Bs%5D=24L ALIGN=MIDDLE  ALT=\"L%5Bs%5D=24L\"   DISABLED_style= \"max-width:90%; height:auto;\" > --------------> amount of SOLUTION that must be added.<BR>\n" );
document.write( "Besides, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5Ba%5D%2BL%5Bs%5D=L%5Ba1%5D ALIGN=MIDDLE  ALT=\"L%5Ba%5D%2BL%5Bs%5D=L%5Ba1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B24=32 ALIGN=MIDDLE  ALT=\"8%2B24=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32=32 ALIGN=MIDDLE  ALT=\"32=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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