SOLUTION: A dairy needs 270 gallons of milk containing 6% butterfat. How many gallons of each milk containing 7% butterfat and milk containing 4% butterfat must be used to obtain the desired
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Question 731838: A dairy needs 270 gallons of milk containing 6% butterfat. How many gallons of each milk containing 7% butterfat and milk containing 4% butterfat must be used to obtain the desired 270 gallons. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = gallons of 7% milk needed
Let = gallons of 4% milk needed = gallons of butterfat in 7% milk = gallons of butterfat in 4% milk
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(1)
(2)
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(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
180 gallons of 7% milk are needed
90 gallons of 4% milk are needed
check:
(2)
(2)
(2)
OK
