A farmer planted a field of Bt 123 corn and wants to estimate the yield in terms of bushels per acre. He counts 22 ears in 1/1000 of an acre. He determines that each ear has about 700 kernels on average. He also knows that a bushel contains about 90 000 kernels on average. What is the farmer's estimate of yield in bushels/acre?
Actually, I really just need someone to confirm my answer. Not to confident b/c it's been a while since I've done much math.
22 ears x 700 kernels = 15,400
15,400 x 1000 = 15,400,000 /90 = 171.111
Am I close?
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To estimate the yield in bushels per acre, we need to follow these steps:
Step 1: Calculate the number of ears in one acre
- Given that the farmer counted 22 ears in 1/1000 of an acre, we need to convert this to the number of ears in one acre.
- Since there are 43,560 square feet in one acre, we can use the following calculation:
Number of ears in one acre = (22 ears) * (43,560 ft²) / (1,000 ft²)
Step 2: Calculate the total number of kernels in one acre
- Given that each ear has about 700 kernels on average, we can multiply this by the number of ears in one acre to get the total number of kernels in one acre.
Total number of kernels in one acre = (Number of ears in one acre) * (700 kernels/ear)
Step 3: Calculate the yield in bushels per acre
- Given that a bushel contains about 90,000 kernels on average, we can divide the total number of kernels in one acre by the number of kernels in a bushel to get the yield in bushels per acre.
Yield in bushels per acre = (Total number of kernels in one acre) / (90,000 kernels/bushel)
Let's now perform the calculations:
Step 1:
Number of ears in one acre = (22 ears) * (43,560 ft²) / (1,000 ft²)
Number of ears in one acre = 22 * 43.56
Number of ears in one acre = 957.12 ears (approximately)
Step 2:
Total number of kernels in one acre = (Number of ears in one acre) * (700 kernels/ear)
Total number of kernels in one acre = 957.12 * 700
Total number of kernels in one acre = 669,984 kernels (approximately)
Step 3:
Yield in bushels per acre = (Total number of kernels in one acre) / (90,000 kernels/bushel)
Yield in bushels per acre = 669,984 / 90,000
Yield in bushels per acre ≈ 7.4 bushels/acre
Therefore, the farmer's estimate of the yield in bushels per acre is approximately 7.4 bushels/acre.