SOLUTION: a dairy needs 360 gallons of milk containing 6% butterfat. how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired

Question 730310: a dairy needs 360 gallons of milk containing 6% butterfat. how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 360 gallons?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Someone/something needs M gallons of mixture containing T% component. how many gallons each of material containing H% component and material containing L% component must be used to obtain the desired M gallons?

Letting u = gallons of the L% component material and v = gallons of the H% component material,

and .
That is the general system. Solve for u and v. You can solve in general for this and general situations like this, and then substitute the values needed for any specific situation.
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