Final answer:
After planting 6,000 out of 20,000 soybean seeds, the farmer has 14,000 seeds left. Given that 2,000 seeds are planted per acre, the farmer can plant the remaining seeds on 7 acres.
Step-by-step explanation:
To calculate how many acres the farmer can plant with the remaining soybean seeds, we must first determine the number of seeds left after planting 6,000 seeds. The farmer started with 20,000 seeds. After planting, the total number of seeds left is 20,000 - 6,000 = 14,000 seeds.
Next, we need to figure out how many acres can be planted with these seeds. Since the farmer plants 2,000 seeds per acre, we can divide the remaining number of seeds by the number of seeds per acre to find the total number of acres:
14,000 seeds ÷ 2,000 seeds/acre = 7 acres
Therefore, the farmer can plant 7 acres with the remaining seeds.