A farmer planted a field of BT 124 corn and wants to estimate the yield in terms of bushels per acre. He counts 22 ears in 1/1000 of an acre and 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?
There would be 22,000 ears in 1 acre, with 15.4*10^6 kernels. Divide that by 90,000 kernels/bushel for the number of bushels.
( 22 ears ) ( 1000 / acre ) ( 700 kernels / ear ) ( 1 bushel / 90,000 kernels ) = 170 bushels / acre
To find the farmer's estimate of yield in bushels per acre, we can follow these steps:
Step 1: Calculate the number of ears per acre.
Since the farmer counts 22 ears in 1/1000 of an acre, we can determine the number of ears in one acre by multiplying by 1000:
Number of ears per acre = 22 x 1000 = 22,000 ears
Step 2: Calculate the total number of kernels in one acre.
Since each ear has an average of 700 kernels, we can determine the total number of kernels per acre by multiplying the number of ears by the average number of kernels per ear:
Total number of kernels per acre = 22,000 ears x 700 kernels/ear = 15,400,000 kernels/acre
Step 3: Calculate the yield in bushels per acre.
Since a bushel contains about 90,000 kernels, we can determine the yield in bushels per acre by dividing the total number of kernels per acre by the number of kernels in one bushel:
Yield in bushels per acre = Total number of kernels per acre / Number of kernels in one bushel
Yield in bushels per acre = 15,400,000 kernels/acre / 90,000 kernels/bushel
Yield in bushels per acre ≈ 171.11 bushels/acre (rounded to two decimal places)
Therefore, the farmer's estimate of yield in bushels per acre is approximately 171.11 bushels/acre.