SOLUTION: Dairy company mixed two grades of milk , one containing 2.5% butterfat and the other containing 5% butterfat , to obtain 100 gallons in of milk that contained 4% butterfat . Find :

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Question 830695: Dairy company mixed two grades of milk , one containing 2.5% butterfat and the other containing 5% butterfat , to obtain 100 gallons in of milk that contained 4% butterfat . Find :
Equation of each milk :

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not well stated. Maybe you mean something like this:

Two grades of milk are 2.5% butterfat and 5% butterfat. How many gallons of each should be mixed to give 100 gallons of milk which is 4% butterfat?

The equations which would let you find the quantities of each grade of milk to use would be, if u is how much 2.5% fat and v is how much 5% fat milks,

%282.5u%2B5.0v%29%2F100=4 and u%2Bv=100
Solve the system for u and v.

The lesson which will explain this more thoroughly is "Mixing two concentrations for known amount of mixture", which you find in the lessons link in my profile.