Problema Solution
Farmer brown planted corn and wheat on his 1270 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 $264,000, how many acres of corn did he plant?
Answer provided by our tutors
Let total area of harvesting corn be x
Let total area of planting and harvesting wheat be y
Total area of land = 1270 acres
x + y = 1270
Also,
Cost per acre for corn planting and harvesting = $270
Total cost for corn planting and harvesting = 270x
Cost per acre for wheat planting and harvesting = $135
Total cost for wheat planting and harvesting = 135y
Therefore according to the question
270x + 135 y = 264000
2x + y = 264000/135 = 17600/9
2x + y = 17600/9
Substitute y value from first equation
2x + (1270 - x) = 17600/9
x = 17600/9 - 1270 = 685.56
So,acres of corn planted = 685.56