SOLUTION: A dairy has 50 Gallons of milk that is 7.8 % butterfat. how much skim milk (no butterfat) should be mixed with it to make milk that is 2% butterfat?

Question 139116: A dairy has 50 Gallons of milk that is 7.8 % butterfat. how much skim milk (no butterfat) should be mixed with it to make milk that is 2% butterfat?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A dairy has 50 Gallons of milk that is 7.8 % butterfat. how much skim milk (no butterfat) should be mixed with it to make milk that is 2% butterfat
:
Let x = amt of skim milk required
:
Write a decimal equiv of per cent buttermilk equation:
.078(50) = .02(x+50)
:
3.9 = .02x + 1
:
3.9 - 1 = .02x
:
2.9 = .02x
x =
x = 145 gal of skim milk to make a 2% mixture
:
:
Check solution, (resulting total = 195 gal)
.078(50) = .02(195)
3.9 = 3.9; confirms our solution
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