A dairy farmer wants to mix a 40% protein supplement and a standard 20% protein ration to make 1000 pounds of a high grade 35% protein ration how many pounds of each should he use
Let x represent the number of pounds of the 40% protein supplement.
The number of pounds of the 20% protein ration would then be 1000 - x.
To find the protein content in the 35% protein ration, we multiply the protein content of each ingredient by the weight of the ingredient and sum them up:
0.4x + 0.2(1000 - x) = 0.35(1000)
0.4x + 200 - 0.2x = 350
0.2x = 350 - 200
0.2x = 150
x = 150 / 0.2
x = 750
Therefore, the farmer should use 750 pounds of the 40% protein supplement and 1000 - 750 = 250 pounds of the 20% protein ration.