Question 1145792
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A setup for a traditional algebraic solution....<br>
x kg of Brand A plus (25-x) kg of Brand B makes 25 kg of the mixture
{{{2.25x + 3.75(25-x) = 3.03(25)}}}<br>
I'll let you finish the problem by that method.  It's a few steps with some ugly decimals; but the process is straightforward.<br>
Here is an easier way to solve mixture problems like this, if an algebraic solution is not required.<br>
(1) Find where the $3.03 per kg cost of the mixture lies between the $2.25 and $3.75 per kg costs of Brand A and Brand B.
From 2.25 to 3.75 is a difference of 1.50
From 2.25 to 3.03 is a difference of 0.78
The $3.03 per kg cost of the mixture is 78/150 = 13/25 of the distance from $2.25 to $3.75.<br>
(2) That means 13/25 of the mixture needs to be the higher priced Brand B.<br>
ANSWER: 13/25 of 25kg, or 13kg, of Brand B; the other 12kg of Brand A.<br>
You should of course get the same answer when you finish solving the problem algebraically, as described above.