SOLUTION: The EdHelper dairy farm needs to create a mix of 1,438 liters of milk, which contains 13.89% butterfat. The farm will use milk from Jason's farm, which contains 8% butterfat and mi

Question 316843: The EdHelper dairy farm needs to create a mix of 1,438 liters of milk, which contains 13.89% butterfat. The farm will use milk from Jason's farm, which contains 8% butterfat and milk from Dylan's farm, which contains 15% butterfat. How many liters of milk should the dairy purchase from Dylan's farm?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
needs to create a mix of 1,438 liters of milk, which contains 13.89% butterfat.
Jason's farm, contains 8% butterfat and milk from Dylan's farm, which contains 15% butterfat.
How many liters of milk should the dairy purchase from Dylan's farm?
:
let d = amt of 15% milk from Dylan
the resulting total is to be 1438 liters, therefore
(1438-d) = amt of 8% milk
:
At typical mixture equation
.08(1438-d) + .15d = .1389(1438)
115.04 - .08d + .15d = 199.7382
-.08d + .15d = 199.7382 - 115.04
.07d = 84.6982
d =
d = 1209.97 liters of 15% from Dylan
:
:
See if that is true
.08(228) + .15(1210) = .1389(1438)
18.24 + 181.5 = 199.74; confirms our solution

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