document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=877862>Question 877862</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have one gallon of acid 30% solution . I need to reduce it to 5% acid. How much water should I add? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #529570 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=529570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"I have one gallon of acid 30% solution\"\r<BR>\n" );
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document.write( "So you have 1*0.30 = 0.30 gallons of pure acid.\r<BR>\n" );
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document.write( "This means\r<BR>\n" );
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document.write( "(amount of pure acid)/(total amount of solution) = (0.30)/(1) = 0.30\r<BR>\n" );
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document.write( "which points back to the 30% acid solution\r<BR>\n" );
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document.write( "Let x = amount of water to add (amount in gallons)\r<BR>\n" );
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document.write( "If you add x gallons of water to the solution, you get 1+x total gallons (acid + water)\r<BR>\n" );
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document.write( "so we now have\r<BR>\n" );
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document.write( "(amount of pure acid)/(total amount of solution) = (0.30)/(1+x)\r<BR>\n" );
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document.write( "You then take (0.30)/(1+x) and set that equal to 0.05 because you want to force the final solution to be 5% acid.\r<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "(0.30)/(1+x) = 0.05\r<BR>\n" );
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document.write( "Now solve for x\r<BR>\n" );
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document.write( "(0.30)/(1+x) = 0.05<BR>\n" );
document.write( "0.30 = 0.05(1+x)<BR>\n" );
document.write( "0.30 = 0.05+0.05x<BR>\n" );
document.write( "0.30-0.05 = 0.05x<BR>\n" );
document.write( "0.25 = 0.05x<BR>\n" );
document.write( "0.25/0.05 = x<BR>\n" );
document.write( "5 = x<BR>\n" );
document.write( "x = 5\r<BR>\n" );
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document.write( "You need to add <font color=\"red\">5 gallons</font> of pure water to dilute the 30% acid solution to a 5% acid solution. </SPAN>\n" );
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