Question

Farmer Brown planted com and wheat on his 1120 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 what is $140 por acre. If Farmer Brown's total cost was $237,400, how many acres of com did he plant? 

Farmer Brown planted _______ acres of com

Answer 1

Farmer brown planted corn and wheat on his 1120 acres of land.

Let x = acres of corn farming

Y = acres of wheat farming

X + y = 1120 ................(1)

Cost of corn farming = $ 270 per acres

Cost of wheat farming = $ 140 per acres

Total cost of farming corn and wheat = $237400

=>270x + 140y = 237400. ............(2)

From equation (1) x + y = 1120 => y = 1120 - x

Substituting value of y in equation (2)

=> 270x + 140( 1120 - x) = 237400

=> 270 x + 140 × 1120 - 140 x = 237400

=> 270 x - 140 x + 156800 = 237400

=> 130 x = 237400 - 156800

=> 130x = 80600

=> X = 80600 / 130 = 620 => x = 620 acres

=> X + y = 1120

=> Y = 1120 - x = 1120 - 620 = 500 => y = 500 acres

Farmer brown planted 620 acres of corn