How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk?
A) 12 gallons
B) 90 gallons
C) 6 gallons
D) 60 gallons
E) 62 gallons

Question

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk? ​
A) 12 gallons
B) 90 gallons
C) 6 gallons
D) 60 gallons
E) 62 gallons

Quizplus · Accepted Answer

Let's assume that we need x gallons of 26% butterfat cream to be mixed with 300 gallons of 2% butterfat milk.

The total amount of butterfat in the final mixture can be calculated as:
(0.26x + 0.02(300)) / (x + 300) = 0.06

Solving this equation for x, we get:
x = 60 gallons

Therefore, we need 60 gallons of 26% butterfat cream to be mixed with 300 gallons of 2% butterfat milk to obtain 360 gallons of 6% butterfat milk.

Hence, the answer is D, 60 gallons.

How Many Gallons of 26% Butterfat Cream Must Be Mixed