SOLUTION: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with 12 gallons of milk containing 1% butterfat to obtain a mixture containing 2% butterfat. How many gallons
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Question 941550: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with 12 gallons of milk containing 1% butterfat to obtain a mixture containing 2% butterfat. How many gallons of the fattier milk must be used?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = gallons of milk containing 4% butterfat
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0.04x + 0.01*12 = 0.02*(x + 12)
0.04x + 0.01*12 = 0.02x + 0.02*12
0.04x - 0.02x = 0.02*12 - 0.01*12
0.02x = 0.02*12 - 0.01*12
x = (0.02*12 - 0.01*12)/0.02
x = 6
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