Farmer brown planted corn and wheat on his 430 acres of land. the cost of planting and harvesting corn (which includes seed, planting, fertilizer, machinery, labor, and other costs) is $280 per acre. the cost of planting and harvesting is wheat is $125 per acre. if farmer brown’s total cost was $95,600, how many acres of corn than wheat did the farmer plant?

The farmer planted 270 acres of corn and 160 acres of wheat.

Step-by-step explanation:

Let the acres of corn be = x

Let the acres of wheat be = y

Total acres of land = 430

So, we have or    .....(1)

The cost of planting and harvesting corn is $280 per acre. The cost of planting and harvesting wheat is $125 per acre. The farmer spent $95600 on plantation.

We get another equation as:

     .....(2)

Substituting the value of x from (1)

=>

=>

=>

y = 160

And x =

x = 270

So, the farmer planted 270 acres of corn and 160 acres of wheat.