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?
Yield=22ears/.001acre*700kernels/ear*1bu/90000kernels= ?????
To estimate the yield in bushels per acre, we need to follow these steps:
Step 1: Calculate the number of ears per acre.
First, we need to convert the number of ears counted in 1/1000 of an acre to ears per acre. To do this, we'll use the fact that there are 43,560 square feet in an acre.
Let's calculate the number of ears per acre:
Number of ears per acre = (Number of ears counted / Area counted) * Area per acre
= (22 ears / 0.001 acre) * 43,560 square feet/acre
= 22,000 ears per acre
Step 2: Calculate the total number of kernels per acre.
Next, we need to find the total number of kernels on all the ears in one acre. We do this by multiplying the average number of kernels per ear by the total number of ears per acre.
Let's calculate the total number of kernels per acre:
Total number of kernels per acre = Number of ears per acre * Average kernels per ear
= 22,000 ears per acre * 700 kernels/ear
= 15,400,000 kernels per acre
Step 3: Convert the total number of kernels to bushels.
Now we need to convert the total number of kernels per acre to bushels. We do this by dividing the total number of kernels by the average number of kernels per bushel.
Let's calculate the yield in bushels per acre:
Yield in bushels per acre = Total number of kernels per acre / Average kernels per bushel
= 15,400,000 kernels per acre / 90,000 kernels/bushel
= 171.1111 bushels per acre (approx.)
Therefore, the farmer's estimate of yield in bushels per acre is around 171.1111 bushels per acre.