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?
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To find the farmer's estimate of yield in bushels per acre, we need to follow these steps:
Step 1: Calculate the total number of ears in one acre.
First, we know that the farmer counted 22 ears in 1/1000 of an acre. To find the number of ears in one whole acre, we need to multiply this count by 1000:
22 ears * 1000 = 22,000 ears per acre.
Step 2: Calculate the total number of kernels in one acre.
Next, we know that each ear has about 700 kernels on average. To find the total number of kernels in one acre, we need to multiply the number of ears by the average number of kernels per ear:
22,000 ears * 700 kernels per ear = 15,400,000 kernels per acre.
Step 3: Calculate the yield in bushels per acre.
Now that we know the total number of kernels in one acre, we can calculate the yield in bushels per acre. We know that a bushel contains about 90,000 kernels on average. To find the yield, we divide the total number of kernels in one acre by the average number of kernels per bushel:
15,400,000 kernels per acre / 90,000 kernels per bushel = 171.11 bushels per acre.
Therefore, the farmer's estimate of yield in bushels per acre is approximately 171.11 bushels/acre.