Question

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. The cost to cultivate corn is $40 per acre. The cost to cultivate wheat is $25 per acre. The Mulders have $18,000 available to cultivate these crops. How many acres each crop should the Mulders plant

Answer 1

Answer: Corn = 200 acres

Wheat= 400 acres

Explanation:

Let the number of acres of corn = c

Let the number of acres of wheat = w

The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:

c + w = 600

c = 600 - w

Cultivation cost equals:

= 40c + 25w = 18000

Since c = 600 - w, we slot it into the equation

40c + 25w = 18000

40(600 - w) + 25w = 18000

24000 - 40w + 25w = 18000

Collect like terms

24000 - 18000 = 40w - 25w

6000 = 15w

w = 6000/15

w= 400

400 acres of wheat will be planted

Since c + w = 600

c = 600 - 400

c = 200

200 acres of corn should be planted