document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182079>Question 1182079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a chef is going to use a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14%vinegar. the chef wants to make 270 milliliters of a dressing that is 11%vinegar. how much of each brand should she use?<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 #812063 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=812063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If you love magic formulas that give you the answer to a problem without teaching you anything about HOW to get the answer, memorize and use the formula shown in the second part of the response from @josgartihmetic.<br><BR>\n" );
document.write( "If you want to learn the standard algebraic approach to solving this kind of problem -- and to be able to understand HOW that method gets you the answer -- use what that tutor shows in the first part of their response, or the similar method shown in the response from tutor @MathTherapy.<br><BR>\n" );
document.write( "If you want a faster method for finding the answer without formal algebra, consider the following.<br><BR>\n" );
document.write( "The ratio in which the two ingredients need to be mixed is exactly determined by where the percentage of the mixture lies between the percentages of the two ingredients.<br><BR>\n" );
document.write( "For example, to solve this problem by this method, you only need to do this:<BR>\n" );
document.write( "(1) observe that 11% is 2/5 of the way from 9% to 14% (picturing the three percentages on a number line might help see this)<BR>\n" );
document.write( "(2) that means 2/5 of the mixture is the 14% ingredient<br><BR>\n" );
document.write( "ANSWER: 2/5 of 270ml, or 108ml, of 14% vinegar; the other 3/5 of the mixture, 162ml, of the 9% vinegar.<br><BR>\n" );
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