A truckload of wheat weighs 12.6 tons and sells for $5.00 per bushel, how much will the farmer receive for her wheat if it tests 12.5% moisture?

To determine how much the farmer will receive for her wheat, it's essential to first convert the weight of the wheat from tons to bushels, while also accounting for the moisture content.

Wheat is typically priced at a basis of 12% moisture. The wheat's moisture content is 12.5%, which means it is above the optimal moisture content for selling. The common industry practice is to adjust the weight based on the moisture percentage to ensure fair pricing.

First, we convert the weight of the wheat from tons to pounds since it’s easier to then convert to bushels. One ton equals 2,000 pounds, so:

12.6 tons x 2,000 pounds/ton = 25,200 pounds.

Next, since wheat is typically measured in bushels, we need to know how many pounds are in a bushel of wheat. There are approximately 60 pounds per bushel for wheat. Thus, the initial conversion to bushels would be:

25,200 pounds ÷ 60 pounds/bushel = 420 bushels.

Now we have to account for moisture. Since the wheat has a moisture content of 12.5%, which is more than the standard 12%, we need