SOLUTION: A dairy needs 260 gallons of milk containing 7% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 4% butterfat must be used to obtain the desired
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Question 621794: A dairy needs 260 gallons of milk containing 7% butterfat. How many gallons each of milk containing 8% butterfat and milk containing 4% butterfat must be used to obtain the desired 260 gallons? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = gallons of 8% butterfat milk needed
Let = gallons of 4% butterfat milk needed = gallons of butterfat in 8% 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)
195 gallons of 8% butterfat milk are needed
65 gallons of 4% butterfat milk are needed
check answer:
(2)
(2)
(2)
(2)
OK
