document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122261>Question 1122261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pharmacist wishes to mix a solution that is 5&#8203;% Minoxidil. She has  on hand 70 ml of a 2&#8203;% solution and wishes to add some 7&#8203;% solution to obtain the desired 5&#8203;% solution. How much 7&#8203;% solution should she&#8203; add?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738341 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is an alternative to the standard algebraic method for solving problems like this.  If you are good with some mental arithmetic, this method will get you to the answer much faster and with much less work.<br><BR>\n" );
document.write( "On the other hand, understanding the standard algebraic method is useful in understanding in general how algebra can help you solve problems.<br><BR>\n" );
document.write( "The ratio in which the two ingredients must be mixed is directly related to where the 5% of the mixture lies between the 2% and 7% of the two ingredients.<br><BR>\n" );
document.write( "One way to picture this is with a number line.<br><BR>\n" );
document.write( "Picture 2, 5, and 7 on a number line.  5 is 3/5 of the way from 2 to 7; that means 3/5 of the mixture needs to be the 7% ingredient.<br><BR>\n" );
document.write( "That means 2/5 of the mixture is the 70ml of the 2% ingredient she starts with.  The ratio of 3/5 to 2/5 is 3:2, so the amount of the 7% ingredient she needs to add is 3/2 of 70ml, which is 105ml. </SPAN>\n" );
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