SOLUTION: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 60 gallons of a mixture containing 2% butterfat. How many gallons
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Question 910102: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 60 gallons of a mixture containing 2% butterfat. How many gallons of each milk must be used?
1%= ? gal and 4%= ? gal Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! wt= gal dn=100 sn1= sn2=%
a+b=60,
0.04*a+0.01*b=0.02*60
a=60-b
0.04*(60-b)+0.01*b=1.2
2.4-0.04b+0.01*b=1.2
-0.03*b=-1.2
b=40
a=60-b
a=20 gal at 4%
b=40 gal at 1%
check
0.04*20+0.01*40=0.02*60
0.8+0.4=1.2
1.2=1.2
ok
codemx1
