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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

How much whipping Creamhighlight%28x%29 @ 9% Butterfat and Milk @ 2% Butterfathighlight%2835-x%29 

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

Mixing Algebraically:

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

      .07x = .02*35

         x+=+.02%2A35%2F.07+=+%282%2F7%29%2A35= 10gal of the 9% and 25gal of the 2%

Note:

 Same amount of gallons on each side of the EQ