# Question #2801c

Mar 28, 2017

32 gallons from the 1st brand. 48 gallons from the 2nd brand will do it.

#### Explanation:

If you will have a unit (volume) of final product, you can write down the equation as:

(Note that x is the 1st brand's contribution (volome) and (1-x) is 2nd brand's contribution)

$0.2 \cdot x + 0.95 \cdot \left(1 - x\right) = 0.65 \cdot 1$

$x = \frac{0.30}{0.75}$

$x = 0.40 g a l$
$1 - x = 0.60 g a l$

If you want to have 80 gallons (total final product), you are going to multiply 80 by these numbers. Therefore,

You need to take 32 gallons from Brand 1 and you need to take 48 gallons from Brand 2. Total volume of final product will be 80 gallons and its antifreeze content will be 65%.
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