Question

Farmer Brown planted corn and wheat on his 1180 acres of land. The cost of planting and harvesting corn​ (which includes​ seed, planting,​ fertilizer, machinery, labor and other​ costs) is $ 270 per acre. The cost of planting and harvesting wheat is $ 135 per acre. If Farmer​ Brown's total cost was $ 249 comma 750 comma how many acres of corn did he​ plant?

Answer 1

Answer: He planted 670 acres of corn.

Step-by-step explanation:

Let x be the number of acres of corn and y be the number of acres wheat Farmer planted.

According to the given information, we have the following system of equations:

$x+y=1180--------------(1)\\\\ 270x+135y=249750-----------------(1)$

Divide equation (2) by 135 , we get

$2x+y=1850---------------(3)$

Subtract eqn (1) from (3), we get

$x=670$

Put value of x in (1), we get

$670+y=1180\\\\ y=1180-670=510$

Hence, he planted 670 acres of corn.