SOLUTION: A container is partly filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat?

Question 162391: A container is partly filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A container is partly filled with 12 liters of whole milk containing 4% butterfat.
How much 1% milk must be added to get a mixture that is 2% butterfat?
:
Let x = amt of 1% milk
then
(x+12) = resulting amt
:
Write an "amt of butterfat" equation
;
.01x + .04(12) = .02(x+12)
:
.01x + .48 = .02x + .24
:
.48 - .24 = .02x - .01x
:
.24 = .01x
x =
x = 24 liters of 1% milk required
:
:
Check solution in the original equation:
.01(24) + .04(12) = .02(24+12)
.24 + .48 = .02(36
.72 = .72; confirms our solution
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