Let x be the amount of feed 1 (in pounds) and y be the amount of feed 2 (in pounds).
The total weight of the mixture is x + y.
The total protein content in the mixture is 0.22x + 0.26y.
We want the protein percentage to be 30%, which means:
(0.22x + 0.26y) / (x + y) = 0.3
Simplifying the equation:
0.22x + 0.26y = 0.3x + 0.3y
Combining like terms:
0.08x = 0.04y
Solving for x:
x = (0.04y)/0.08
x = 0.5y
Therefore, for every 1 pound of feed 2, you need to mix 0.5 pounds of feed 1 to achieve a protein percentage of 30%.
For example, if you want to make 100 pounds of the mixture:
Amount of feed 1 = 0.5 * 100 = 50 pounds
Amount of feed 2 = 100 - 50 = 50 pounds
By mixing 50 pounds of feed 1 and 50 pounds of feed 2, you will obtain a mixture with a protein percentage of approximately 30%.