SOLUTION: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 36 gallons of a mixture containing 2% butterfat. How many gallons

Question 779949: To make low-fat cottage cheese, milk containing 4% butterfat is mixed with milk containing 1% butterfat to obtain 36 gallons of a mixture containing 2% butterfat. How many gallons of each milk must be used? See Example 4.
1% milk ___ gal
4% milk ___ gal

Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
ASSIGN VARIABLES
L = 1%
T = 2%, target value wanted
H = 4%
M = 36 gallons
u = amount of 1%, unknown
v = amount of 4%, unknown

MAKE EQUATIONS
and

SOLVE EQUATIONS FOR EACH UNKNOWN VARIABLE
Meaning, solve for u and v.
and
,

and because , we multiply top & bottom by

and including the use of the other equation,
or whichever simpler form you want.

SUBSTITUTE THE KNOWN VALUES
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