SOLUTION: How much whipping Cream @ 9% Butterfat and Milk @ 2% Butterfat should be mixed to obtain 35 gallons of milk with 4% Butterfat? I have a series of problems asking the same format

Question 667390: How much whipping Cream @ 9% Butterfat and Milk @ 2% Butterfat should be mixed to obtain 35 gallons of milk with 4% Butterfat?
I have a series of problems asking the same format and am having difficulty plotting out and solving the problem.
Thank you for your help!
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

How much whipping Cream @ 9% Butterfat and Milk @ 2% Butterfat 

should be mixed to obtain 35 gallons of milk with 4% Butterfat?

Mixing Algebraically:

 .09x + .02(35-x) = .04*35

      .07x = .02*35

         = 10gal of the 9% and 25gal of the 2%

Note:

 Same amount of gallons on each side of the EQ 

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