document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199597>Question 199597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have 500 hectolitres of 4.6% abv (alcohol by volume) beer in a tank. I need to increase the alcohol % up to 5%abv from 4.6%abv the max volume of tank 500hl so we need to remove some of the 4.6% and replace it with 7.15% abv bringing up the abv percentage to 5%. I need to know how much 4.6% to remove and how much 7.15% to replace it with. Can you please show me the formula used to figure out this question please<BR>\n" );
document.write( "Thank you<BR>\n" );
document.write( "Mark<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149993 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=149993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have 500 hectolitres of 4.6% abv (alcohol by volume) beer in a tank.<BR>\n" );
document.write( " I need to increase the alcohol % up to 5%abv from 4.6%abv the max volume <BR>\n" );
document.write( "of tank 500hl so we need to remove some of the 4.6% and replace it with 7.15%<BR>\n" );
document.write( " abv bringing up the abv percentage to 5%. <BR>\n" );
document.write( "I need to know how much 4.6% to remove and how much 7.15% to replace it with.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = amt to be removed, this is also the amt of 7.15% to be added<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".046(500 - x) + .0715x = .05(500)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "All you need now is some basic algebra<BR>\n" );
document.write( "Multiply what's inside the brackets<BR>\n" );
document.write( "23 - .046x + .0715x = 25<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".046x + .0715x = 25 - 23<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".0255x = 2<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F.0255 ALIGN=MIDDLE  ALT=\"2%2F.0255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 78.43 hl removed and 78.43 hl of 7.15% added<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if this is true<BR>\n" );
document.write( ".046(500 - 78.43) + .0715(78.43) = .05(500)<BR>\n" );
document.write( ".046(421.57) + .0715(78.43) = .05(500)<BR>\n" );
document.write( "19.39 + 5.61 = 25; confirms our solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );