SOLUTION: a 50-gallon barrel of milk is 6 % butterfat. how much skim milk( no butter fat) should be mixed tot make milk that is 3% butterfat?

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Question 741178: a 50-gallon barrel of milk is 6 % butterfat. how much skim milk( no butter fat) should be mixed tot make milk that is 3% butterfat?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
50 gallons, just by one quick read.

But if you want some algebraic work, then, this is a dilution exercise.
Let g = gallons of skim milk to add.
Note, percent of fat in the skim milk is 0%.
%2850%2A6%2Bg%2A0%29%2F%2850%2Bg%29=3
Simplifies to:
%2850%2A6%29%2F%2850%2Bg%29=3
Solve for g.



Was I correct?
50%2A6=3%2850%2Bg%29
50%2A6=3%2A50%2B3g
3g=50%2A6-3%2A50=50%286-3%29
3g=50%2A3
g=50
Notice from first-read, the dilution simply cuts the fat concentration exactly in half.