Question 1182079
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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>
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>
If you want a faster method for finding the answer without formal algebra, consider the following.<br>
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>
For example, to solve this problem by this method, you only need to do this:
(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)
(2) that means 2/5 of the mixture is the 14% ingredient<br>
ANSWER: 2/5 of 270ml, or 108ml, of 14% vinegar; the other 3/5 of the mixture, 162ml, of the 9% vinegar.<br>