SOLUTION: Milk with 3% butterfat was mixed with cream with 36% butterfat to produce 33 L of half and half with 18% butterfat content. How much of each was used?

SOLUTION: Milk with 3% butterfat was mixed with cream with 36% butterfat to produce 33 L of half and half with 18% butterfat content. How much of each was used?

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Question 253601: Milk with 3% butterfat was mixed with cream with 36% butterfat to produce 33 L of half and half with 18% butterfat content. How much of each was used?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
.36x+.03(33-x)=.18*33
.36x+.99-.03x=5.94
.33x=5.94-.99
.33x=4.95
x=4.95/.33
x=15 L 0f 36% butterfat is used.
33-15=18 L of 3% butterfat is used.
Proof:
.36*15+.03*18=.18*33
5.4+.54=5.94
5.94=5.94
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