document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927909>Question 927909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many gallons of a 21% acid solution and the 29% acid solution need to be mixed to make 8 gallons of a 26% 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 #563323 by </B><A HREF=/tutors/aboutme.mpl?userid=Techpriest><B>Techpriest(29)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Techpriest><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=563323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming we don't know the gallons of the 21% acid solution, we will express it as x.<BR>\n" );
document.write( "Assuming we don't know the gallons of the 29% acid solution, we will express it as y.<BR>\n" );
document.write( "In the assumptions, we are able to convey this equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+y+=+8+ ALIGN=MIDDLE  ALT=\"+x+%2B+y+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.21x+%2B+.29y+=+.26%288%29+ ALIGN=MIDDLE  ALT=\"+.21x+%2B+.29y+=+.26%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We are able to solve it through substitution by finding that y = 8 - x through the subtraction property of equality.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.21x+%2B+.29%288-x%29+=+.26%288%29+ ALIGN=MIDDLE  ALT=\"+.21x+%2B+.29%288-x%29+=+.26%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21x+%2B+29%288-x%29+=+26%288%29+ ALIGN=MIDDLE  ALT=\"+21x+%2B+29%288-x%29+=+26%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since they are a percent, we will multiply all by 100.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+21x+%2B+232+-+29x+=+208+ ALIGN=MIDDLE  ALT=\"+21x+%2B+232+-+29x+=+208+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribution<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8x+%2B+232+=+208+ ALIGN=MIDDLE  ALT=\"+-8x+%2B+232+=+208+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine Like Terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8x+%2B+232+-+232+=+208+-+232+ ALIGN=MIDDLE  ALT=\"+-8x+%2B+232+-+232+=+208+-+232+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtraction Property of Equality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-8x%2F-8+=+-24%2F-8+ ALIGN=MIDDLE  ALT=\"+-8x%2F-8+=+-24%2F-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Division Property of Equality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+3+ ALIGN=MIDDLE  ALT=\"+x+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we know that x is 3, we will plug-in the x for the y to find the value of y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8+-+x+ ALIGN=MIDDLE  ALT=\"+y+=+8+-+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+8+-+3+ ALIGN=MIDDLE  ALT=\"+y+=+8+-+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+5+ ALIGN=MIDDLE  ALT=\"+y+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "It takes 3 gallons of a 21% acid solution and 5 gallons of a 29% acid solution to make 8 gallons of a 26% acid solution. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );