You want to make 1 ton ration of an 18% protein ration using corn (12%) and soybean meal (22%). How much of each will he have to mix together? Show your work for full credit.

To make a 1 ton ration of an 18% protein ration using corn (12%) and soybean meal (22%), 0.6 tons of soybean meal and 0.4 tons of corn are needed

Explanation:

Using the Pearson’s Square calculations:

1. Subtract across the diagonal:

a. 18% - 12% = 6 parts soybean meal

b. 18% - 22% = 4 parts corn

2. Sum the parts:

a. 6 parts soybean meal + 4 parts corn = 10 totalparts

3. Divide each part by the total to calculate the percentage of each feed to include in the ration:

a. 6 parts soybean meal ÷ 10 total parts * 100 = 60.0% soybean meal

b. 4 parts corn ÷ 10 total parts * 100 = 40.0% corn

So, to make 1 ton ration of an 18% protein ration using corn (12%) and soybean meal (22%),

60% of soybean meal is needed = 60/100 * 1 ton = 0.6 tons of soybean meal

40% of corn is needed = 40/100 * 1 ton = 0.4 tons of corn