Farmer Brown planted corn and wheat on his 1200 acres of land. The cost of planting and harvesting corn is $275.00 per acre. The cost of planting and harvesting wheat is $125.00 per acre. If Farmer Brown's total cost was $244,500, how many acres of corn did he plant?

Question

Farmer Brown planted corn and wheat on his 1200 acres of land. The cost of planting and harvesting corn is $275.00 per acre. The cost of planting and harvesting wheat is $125.00 per acre. If Farmer Brown's total cost was $244,500, how many acres of corn did he plant?

Answer 1

define X as the number of acres of planted corn.

hence, the number of acres of planted wheat is 1200-X.

from here you can figure out the simple equation:
(275*X)+(125*(1200-X))=244500
and the only solution is X=630 acres which is the correct answer.

Answer 2

Let's assume the number of acres of corn planted is "x".

Since Farmer Brown planted corn and wheat on a total of 1200 acres, we can express the number of acres of wheat as "1200 - x".

The cost of planting and harvesting corn per acre is $275, so the total cost of planting and harvesting corn would be 275x dollars.

Similarly, the cost of planting and harvesting wheat per acre is $125, so the total cost of planting and harvesting wheat would be 125(1200 - x) dollars.

The total cost of planting and harvesting corn and wheat is given as $244,500.

So, we can set up the equation:
275x + 125(1200 - x) = 244,500

Simplifying the equation:
275x + 150,000 - 125x = 244,500
150x = 244,500 - 150,000
150x = 94,500

Dividing both sides of the equation by 150:
x = 94,500 / 150
x ≈ 630

Therefore, Farmer Brown planted approximately 630 acres of corn.

Answer 3

To determine the number of acres of corn Farmer Brown planted, we can set up a system of equations. Let's assume that the number of acres of corn is represented by 'x,' and the number of acres of wheat is represented by 'y.'

From the given information, we know that the cost of planting and harvesting corn is $275.00 per acre, and the cost of planting and harvesting wheat is $125.00 per acre. The total cost of both crops is $244,500.

The equation representing the cost of planting and harvesting corn would be:
275x

The equation representing the cost of planting and harvesting wheat would be:
125y

Finally, we have the equation representing the total cost:
275x + 125y = 244500

Since we are looking for the number of acres of corn (x), we need to isolate this variable. Let's solve the equation for x:

275x + 125y = 244500
275x = 244500 - 125y
x = (244500 - 125y) / 275

To proceed further, we need additional information about the number of acres of wheat (y) planted by Farmer Brown.