Question

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?

Answer 1

Explanation:

Answer 2

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

Explanation:

Let the acres of corn be = x

Let the acres of wheat be = y

Total acres of land = 430

So, we have
`x+y=430` or
`x=430-y` .....(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:

`280x+125y=95600` .....(2)

Substituting the value of x from (1)

`280(430-y)+125y=95600`

=>
`120400-280y+125y=95600`

=>
`-280y+125y=95600-120400`

=>
`-155y=-24800`

y = 160

And x =
`430-160`

x = 270

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