A farmer owns 168 acres of land. One-third of the land was planted in corn, one-third was left unplowed, and one-fourth of the remaining was sold at $500 per acre. How much did the farmer receive for the land sold?

To determine how much the farmer received for the land sold, start by calculating the total area of land and how it was utilized.

The farmer owns 168 acres in total. According to the information provided:

1. One-third of the land was planted in corn: ( \frac{1}{3} \times 168 = 56 ) acres.

2. One-third was left unplowed: Again, ( \frac{1}{3} \times 168 = 56 ) acres.

3. This means the acreage planted in corn (56 acres) plus the unplowed land (56 acres) totals: ( 56 + 56 = 112 ) acres.

4. To find out how much land remains after planting corn and leaving land unplowed, subtract the total used from the total acreage: ( 168 - 112 = 56 ) acres.

5. The problem states that one-fourth of the remaining land was sold. Since the remaining land is 56 acres, calculate: ( \frac{1}{4} \times 56 = 14 ) acres were sold.

6. With the sale price being $500 per acre,