SOLUTION: To make low fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 27 gallons of a mixture containing 2% butterfat. How many gallons

Question 905419: To make low fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 27 gallons of a mixture containing 2% butterfat. How many gallons of each milk must be used? 1% and 4%

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

a+b=27,
0.04*a+0.01*b=0.02*27
a=27-b
0.04*(27-b)+0.01*b=0.54
1.08-0.04b+0.01*b=0.54
-0.03*b=-0.54
b=18
a=27-b
a=9 gal at 0.04% b=18 gal at 0.01%
check
0.04*9+0.01*18=0.02*27
0.36+0.18=0.54
0.54=0.54
ok

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