document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763119>Question 763119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many mL of water should you add to 275 mL of a 9% solution to dilute it down to a 5% solution? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464489 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=464489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The initial solution contains 9% chemical, C, and 91% water, W, or<BR>\n" );
document.write( "(1) C = 0.09*275 or<BR>\n" );
document.write( "(2) C = 24.75 mL and<BR>\n" );
document.write( "(1) W = .91*275 or<BR>\n" );
document.write( "(2) W = 250.25 mL <BR>\n" );
document.write( "Now we add some water, w, to yield a solution that is 95% water or<BR>\n" );
document.write( "(3) 0.95 = (250.25 + w)/(275 + w)<BR>\n" );
document.write( "Remember to add w to both the numerator and denominator.<BR>\n" );
document.write( "Cross multiplying (3) gives us<BR>\n" );
document.write( "(4) 0.95*(275+w) = 250.25 + w or<BR>\n" );
document.write( "(5) 261.25 + 0.95*w = 250.25 + w or<BR>\n" );
document.write( "(6) 11 = 0.05*w or<BR>\n" );
document.write( "(7) w = 220 mL<BR>\n" );
document.write( "Let's check this with chemical of (2) and the total solution.<BR>\n" );
document.write( "Is (24.75/(275+220) = 0.05)?<BR>\n" );
document.write( "Is (24.75/495 = 0.05)?<BR>\n" );
document.write( "Is (0.05 = 0.05)? Yes<BR>\n" );
document.write( "Answer: Add 220 mL of water. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );