document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202248>Question 202248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a pharmacist wishes to mix  solution that is 3% Minoxidil. She has on hand 70 ml of 2% solution and wishes to add some 5% solution to obtain the desired 3% solution. How much 5% solution should she add?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152496 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=152496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The amount of Minoxidil in the 2% solution is 70 * .02.<BR>\n" );
document.write( "The amount of Minoxidil in the 5% solution that you want to add to make a 3% solution is x * .05.<BR>\n" );
document.write( "The amount of Minoxidil in the desired 3% solution is (x + 70) * .03.<BR>\n" );
document.write( "The solution is measured in ml which I believe stands for milli-liters.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Your equation should be:<BR>\n" );
document.write( "(.70 * .02) + (x * .05) = (x + 70) * .03<BR>\n" );
document.write( "solving this equation yields the following:<BR>\n" );
document.write( "(.70 * .02) + (x * .05) = (x * .03) + (70 * .03)<BR>\n" );
document.write( "subtract (.70 * .02) from both sides of the equation to get:<BR>\n" );
document.write( "(x * .05) = (x * .03) + (70 * .03) - (70 * .02)<BR>\n" );
document.write( "subtract (x * .03) from both sides of the equation to get:<BR>\n" );
document.write( "(x * .05) - (x * .03) = (70 * .03) - (70 * .02)<BR>\n" );
document.write( "remove the common factors from each side of the equation to get:<BR>\n" );
document.write( "(x) * (.05 - .03) = (70) * (.03 - .02)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "(x) * (.02) = (70) * (.01)<BR>\n" );
document.write( "divide both sides of the equation by (.02) to get:<BR>\n" );
document.write( "x = (70 * .01) / (.02)<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "x = 35 ml<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "your answer should be 35 ml of 5% solution are added to 70 milliliters of 2% solution to make 105 ml of 3% solution.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "to prove this answer is correct, substitute the answer in the equation to get:<BR>\n" );
document.write( "(70 * .02) + (35 * .05) = (105 * .03)<BR>\n" );
document.write( "this equates to:<BR>\n" );
document.write( "1.4 + 1.75 = 3.15<BR>\n" );
document.write( "which becomes:<BR>\n" );
document.write( "3.15 = 3.15<BR>\n" );
document.write( "which means the equation is true and the values are correct.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );