Question 1185429
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You have three responses showing formal algebraic solutions to your problem.  All are valid....<br>
If a formal algebraic solution is not required, here is a quick and easy way to solve this kind of problem (if the numbers are "nice") informally.<br>
You are starting with a 40% antifreeze solution and adding a 1% antifreeze solution until the mixture is 16% antifreeze.<br>
To model the problem, picture starting at 40% on a number line and "walking" towards 1%, stopping when you reach 16%.<br>
In doing that, you have walked 24/39 = 8/13 of the total distance.  (40 to 1 is a difference of 39; 40 to 16 is a difference of 24; hence the fraction 24/39=8/13.)<br>
That means 8/13 of the mixture is the 1% antifreeze that you are adding.<br>
So the 100 ounces of 40% antifreeze you started with was 5/13 of the mixture; that means the 8/13 of the mixture that you added was 160 ounces.<br>
ANSWER: 160 ounces<br>