SOLUTION: A dairy needs 225 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk containing 1% butterfat must be used to obtain the desired

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Question 1026247: A dairy needs 225 gallons of milk containing 5% butterfat. How many gallons each of milk containing 6% butterfat and milk containing 1% butterfat must be used to obtain the desired 225 gallons
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39618) (Show Source):
You can put this solution on YOUR website!
You can solve this using two variables, or you can handle a solution using only a single variable, as is shown in a helpful video from which you can learn:

Very typical two-part percentage mixure problem - only the quantities are changed while keeping the general form and similar application.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = gallons of 6% butterfat milk needed
Let = gallons of 1% butterfat milk needed
------------------
(1)
(2)
-------------------------------
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)
--------------------

and
(1)
(1)
(1)
--------------------
180 gallons of 6% butterfat milk needed
45 gallons of 1% butterfat milk needed
--------------------
(2)
(2)
(2)
(2)
(2)
OK