6. 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?
22 ears * 700 kernels = 15400 kernels inn 1/1000 acre = 15,400,000 kernels in an acre = 170 bushels/acre
There will be 22,000 ears per acre. Multiply that by 700 for the number of kernels per acre. Then divide by 90,000 kernels per bushel.
The answer will be the number of bushels per acre.
For this, I got 155.555555556.
To estimate the yield in bushels per acre, we need to calculate the number of ears per acre and then calculate the number of kernels per acre. Finally, we can divide the total number of kernels by the number of kernels in a bushel to get the yield in bushels per acre.
First, let's calculate the number of ears per acre.
Given that the farmer counted 22 ears in 1/1000 of an acre, we can multiply this by 1000 to get the number of ears in one acre:
22 ears/ (1/1000 acre) = 22 * (1000/1) = 22,000 ears/acre.
Next, let's calculate the number of kernels per acre.
Since each ear has about 700 kernels on average, we can multiply the number of ears per acre by the number of kernels per ear:
22,000 ears/acre * 700 kernels/ear = 15,400,000 kernels/acre.
Finally, we can 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 by the number of kernels in a bushel:
15,400,000 kernels/acre / 90,000 kernels/bushel = 171.11 bushels/acre.
Therefore, the farmer's estimate of yield in bushels/acre is approximately 171.11 bushels/acre.