A farm has 1/4 of its land in woodland and 1/5 in pasture. If the woodland is 150 acres, how many acres are under cultivation?

To arrive at the correct answer, first, we need to determine the total land area of the farm. Given that the woodland occupies 1/4 of the land and covers 150 acres, we can set up an equation to find the total land area.

If woodland is 1/4 of the total area, we can represent the total area as "x." Therefore:

1/4 of x = 150 acres

To find the total land area, we can solve for x:

x = 150 acres / (1/4)

x = 150 acres * (4/1)

x = 600 acres

Now that we have established the total area to be 600 acres, we need to figure out how much land is used for pasture. Since 1/5 of the total area is used for pasture, we can calculate that part as well:

1/5 of 600 acres = 600 acres / 5 = 120 acres

To find the acres under cultivation, we consider both woodland and pasture. Since "under cultivation" typically refers to land that is actively farmed or used for crops, it usually excludes woodland. However, pastureland is included in the land under cultivation.

Thus,