document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52078>Question 52078</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321127137/algebrahomeworkh>intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How many liters of a 10% alcohol solution must be mixed with 40 L of a 50% solution to get a 40% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34734 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=34734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the number of liters of the 10% alcohol solution.<BR>\n" );
document.write( "From the problem description, you can write the equation: (Note:  Change the percents to their decimal equivalents) The final solution will be (40+x) liters.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%280.1%29+%2B+40%280.5%29+=+%2840%2Bx%29%280.4%29 ALIGN=MIDDLE  ALT=\"x%280.1%29+%2B+40%280.5%29+=+%2840%2Bx%29%280.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1x+%2B+20+=+16+%2B+0.4x ALIGN=MIDDLE  ALT=\"0.1x+%2B+20+=+16+%2B+0.4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 0.1x from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20+=+16+%2B+0.3x ALIGN=MIDDLE  ALT=\"20+=+16+%2B+0.3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 16 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+0.3x ALIGN=MIDDLE  ALT=\"4+=+0.3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 0.3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13.33+=+x ALIGN=MIDDLE  ALT=\"13.33+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "You will need to mix 13.33...(or 13 1/3) liters of 10% alcohol solution with 40 liters of 50% alcohol solution to obtain 53.33... (or 53 1/3) liters of 40% alcohol solution.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "13.33(0.1) + 40(0.5) = 53.33(0.4)<BR>\n" );
document.write( "1.333 + 20 = 21.333<BR>\n" );
document.write( "21.333 = 21.333<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );