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.