SOLUTION: How many gallons of cream that is 26% butterfat must be mixed with milk that is 2% butterfat to get 24 gallons of milk containing 4% butterfat?

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Question 343470: How many gallons of cream that is 26% butterfat must be mixed with milk that is 2% butterfat to get 24 gallons of milk containing 4% butterfat?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of 26% cream, B the amount of 2% milk.
A%2BB=24
.
.
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26A%2B2B=4%2824%29
26%2B2B=96
2.13A%2BB=48
Subtract eq. 1 from eq. 2,
13A%2BB-A-B=48-24
12A=24
highlight%28A=2%29gallons
Then from eq. 1,
2%2BB=24
highlight%28B=22%29gallons