Question

Farmer Brown planted corn and wheat on 370 acres of his land.The cost and planting and harvesting corn,c,is $280 per acre.The cost of planting and harvesting wheat,w,is $135 per acre.If Farmer Brown's total cost was $83,300,how many acres of corn than wheat did he plant?

Answer 1

The number of acres of corn planted was 230 and the number of acres of wheat planted was 140

Explanation:

Let

c ----> the number of acres of corn

w ----> the number of acres of wheat

we know that

Farmer Brown planted corn and wheat on 370 acres of his land

so

`c+w=370` -----> equation A

The cost and planting and harvesting corn,c,is $280 per acre

The cost of planting and harvesting wheat,w,is $135 per acre

The Farmer Brown's total cost was $83,300

so

`280c+135w=83,300` ----> equation B

solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (230,140)

see the attached figure

therefore

The number of acres of corn planted was 230 and the number of acres of wheat planted was 140