Answer:
24 liters of 1% milk must be added
Step-by-step explanation:
Given:
Amount of milk = 12 L
concentration of buttefat = 4% = 0.04
Concentration of mixture = 2% = 0.02
Concentration of 1% milk = 0.01
To find:
construct a table and solve
The table:
Amount of butter fat in 12Liters of 4% + Amount of butterfat in 1% milk = Amount of butterfat in the concentration
Amount of butterfat in 1% milk = y
mixture = y + 12
12(0.04) + 0.01(y) = 0.02(y + 12)
0.48 + 0.01y = 0.02y + 0.24
collect like terms:
0.48 - 0.24 = 0.02y - 0.01y
0.24 = 0.01y
divide both sides by 0.01:
0.24.0.01 = y
y = 24
Hence, 24 liters of 1% milk must be added