Question

Farmer brown planted corn and wheat on his 1210 acres of land, m corn is 280$ per acre and wheat is 125$ per acre. If farmer browns total cost was 253,550 how many acres of corn did he plant

Answer 1

Let's denote the number of acres of corn planted by "x". According to the given information, the number of acres of wheat planted would be the difference between the total number of acres (1210) and the number of acres of corn (x), which is (1210 - x).

The cost of planting corn per acre is $280, so the total cost of planting corn would be 280x dollars.

The cost of planting wheat per acre is $125, so the total cost of planting wheat would be 125(1210 - x) dollars.

The total cost of planting both crops is given as $253,550. Therefore, we can set up the following equation:

280x + 125(1210 - x) = 253,550

Now let's solve this equation to find the value of x:

280x + 125(1210 - x) = 253,550

280x + 151,250 - 125x = 253,550

155x + 151,250 = 253,550

155x = 253,550 - 151,250

155x = 102,300

x = 102,300 / 155

x ≈ 660.97

Farmer Brown planted approximately 661 acres of corn.