document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399317>Question 399317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tank a contains 32 gallons of solution which is 25% alcohol by volume. Tank b has 50 gallons of solution which is 40% alcohol by volume. What volume should be taken from each tank and combined in order to make up 40 gallons of solution containing 30% alcohol by volume? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282757 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=282757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = gallons to be removed from tank a<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = gallons to be removed from tank b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25a ALIGN=MIDDLE  ALT=\".25a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = gallons of alcohol removed from tank a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.4b ALIGN=MIDDLE  ALT=\".4b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = gallons of alcohol removed from tank b<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.25a+%2B+.4b%29%2F40+=+.3 ALIGN=MIDDLE  ALT=\"%28.25a+%2B+.4b%29%2F40+=+.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25a+%2B+.4b+=+12 ALIGN=MIDDLE  ALT=\".25a+%2B+.4b+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a+%2B+40b+=+1200 ALIGN=MIDDLE  ALT=\"25a+%2B+40b+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also,<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+40 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (2) from (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25a+%2B+40b+=+1200 ALIGN=MIDDLE  ALT=\"25a+%2B+40b+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-25a+-+25b+=+-1000 ALIGN=MIDDLE  ALT=\"-25a+-+25b+=+-1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15b+=+200 ALIGN=MIDDLE  ALT=\"15b+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+13.333 ALIGN=MIDDLE  ALT=\"b+=+13.333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And from (2),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+40+-+b ALIGN=MIDDLE  ALT=\"a+=+40+-+b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+40+-+13.333 ALIGN=MIDDLE  ALT=\"a+=+40+-+13.333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+26.666 ALIGN=MIDDLE  ALT=\"a+=+26.666\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine 26 2/3 gallons from tank \"a\"<BR>\n" );
document.write( " with 13 1/3 gallons from tank \"b\"<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.25a+%2B+.4b%29%2F40+=+.3 ALIGN=MIDDLE  ALT=\"%28.25a+%2B+.4b%29%2F40+=+.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.25%2A26.666+%2B+.4%2A13.333%29%2F40+=+.3 ALIGN=MIDDLE  ALT=\"%28.25%2A26.666+%2B+.4%2A13.333%29%2F40+=+.3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.25%2A26.666+%2B+.4%2A13.333+=+12 ALIGN=MIDDLE  ALT=\".25%2A26.666+%2B+.4%2A13.333+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6.666+%2B+5.333+=+12 ALIGN=MIDDLE  ALT=\"+6.666+%2B+5.333+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+12 ALIGN=MIDDLE  ALT=\"12+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );