SOLUTION: How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat milk to make milk that is 2% butterfat?

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Question 243760: How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat milk to make milk that is 2% butterfat?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
How many gallons of milk that is 3 1/2% butterfat must be added to 80 gal of 1% butterfat milk to make milk that is 2% butterfat?
:
Let x = amt of 3.5% milk required
:
The the decimal equiv equation of the amt of butterfat
.035x + .01(80) = .02(x+80)
:
.035x + .8 = .02x + 1.6
:
.035x - .02x = 1.6 - .8
:
.015x = .8
x = .8%2F.015
:
x = 531%2F3 gal of 3.5%