18. A farmer planted a field of BT 123 corn and wants to estimate the yield in terms of bushel per acres. He counts 22 ears in 1/100 of acres. He determines
that each ear has 700 kernels on average. He also knows that a bushel contains about 90,000 kernels on average. What is the farmer’s yield per acres?
22 * 700 = 15,400 kernels per 0.01 acres.
100 * 15,400 = 1,540,000 kernels per acre.
1,540,000 / 90,000 = 17.11 bushels per acre
To calculate the farmer's yield per acre, we can follow these steps:
Step 1: Calculate the total number of ears per acre.
Since the farmer counted 22 ears in 1/100 of an acre, we need to multiply this number by 100 to get the number of ears per acre.
Number of ears per acre = 22 ears x 100 = 2200 ears
Step 2: Calculate the total number of kernels per acre.
Since each ear has 700 kernels on average, we can multiply the number of ears per acre by the average number of kernels per ear.
Total number of kernels per acre = 2200 ears x 700 kernels/ear = 1,540,000 kernels
Step 3: Calculate the yield in bushels per acre.
Since a bushel contains about 90,000 kernels on average, we can divide the total number of kernels per acre by the average number of kernels per bushel.
Yield per acre = 1,540,000 kernels / 90,000 kernels/bushel = 17.11 bushels per acre
Therefore, the farmer's yield per acre is approximately 17.11 bushels.