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?

Question

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?

Answer 1

If the bushels have kernels:

(22 * 1000 * 700)/ 90000 = ?

I hope this helps.

Answer 2

( 22 ears ) ( 1000 / acre ) ( 700 kernels / ear ) ( 1 bushel / 90,000 kernels ) = 170 bushels / acre

Answer 3

To estimate the yield in bushels per acre, we need to follow these steps:

Step 1: Calculate the number of ears per acre:
Since the farmer counted 22 ears in 1/1000th of an acre, we will use this information to find the number of ears per acre.
1 acre is equal to 43,560 square feet.
To find the number of ears per acre, we can use the following formula:
Number of ears per acre = (Number of ears counted / Area counted) x Area per acre

Since we counted 22 ears in 1/1000th of an acre, the area counted is:
(1/1000) x 1 acre = 0.001 acre

Now, we can plug the values into the formula:
Number of ears per acre = (22 / 0.001) x 1 acre
Number of ears per acre = 22,000 ears

Step 2: Calculate the total number of kernels per acre:
The farmer determined that each ear has about 700 kernels on average.

To find the total number of kernels per acre, we multiply the number of ears per acre by the average number of kernels per ear:
Total number of kernels per acre = Number of ears per acre x Average number of kernels per ear
Total number of kernels per acre = 22,000 ears x 700 kernels/ear
Total number of kernels per acre = 15,400,000 kernels

Step 3: Convert the total number of kernels into bushels:
We know that a bushel contains about 90,000 kernels on average. To estimate the yield in bushels, we divide the total number of kernels per acre by the average number of kernels per bushel.
Number of bushels per acre = (Total number of kernels per acre) / (Average number of kernels per bushel)
Number of bushels per acre = 15,400,000 kernels / 90,000 kernels/bushel
Number of bushels per acre ≈ 171 bushels/acre

Therefore, the farmer's estimate of yield is approximately 171 bushels per acre.