Question

В совхозе четыре девятых всей землизанимают луга, а одна третья-посевы. Какова площадь всей земли в совхозе, если луга занимают на 270 га больше, чем посевы?

Answer 1

4/9-1/3=1/9 частей земли составляют 270 га

всего 270*9=2430 га

Answer 2

Calculation of Land Area in the Collective Farm

To calculate the total land area in the collective farm, we need to determine the area occupied by meadows and crops.

Given the information provided, we know that meadows occupy four-ninths (4/9) of the entire land, while crops occupy one-third (1/3) of the land. Additionally, we are told that meadows occupy 270 hectares more than crops.

Let's denote the total land area as L.

The area occupied by meadows can be calculated as 4/9 * L, and the area occupied by crops can be calculated as 1/3 * L.

According to the information given, the area occupied by meadows is 270 hectares more than the area occupied by crops. Therefore, we can set up the following equation:

4/9 * L = 1/3 * L + 270

To solve this equation, we can multiply both sides by 9 to eliminate the denominators:

4L = 3L + 2430

Next, we can subtract 3L from both sides:

L = 2430

Therefore, the total land area in the collective farm is 2430 hectares.

Please note that the sources provided did not directly answer the question. The calculation was done based on the information given in the user's query.