Question 1153594
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The other tutor showed how to set up the problem for solving using the standard algebraic method.  If an algebraic method is not required, here is a solution by a method that will get you to the answer much faster, and with far less work.<br>
Think of starting with 3% solution and adding 35% solution, stopping when you get to 4%.<br>
To model that, think of "walking" along a number line, starting at 3 and heading towards 35, stopping when you get to 4.  From 3 to 4 is 1/32 of the distance from 3 to 35.<br>
That means 1/32 of the mixture needs to be the 35% solution you are adding.<br>
Since you want 32 fl oz of the mixture, that means you need to use 1 fl o of the 35% solution and 31 fl oz of the 3% solution.<br>
Without all the words of explanation, here are the simple calculations required to solve the problem.<br>
4-3=1; 35-3=32 --> 1/32<br>
(1/32) of 32 fl oz  = 1 fl oz = amount of 35% solution to use<br>