Question

В колхозе 4/9 всей земли, 60% посевная площадь, а остальная земля занята лесом. Найдите площадь всей земли колхоза, если площадь лугов больше посевной площади на 520 га

Answer 1

Пусть х (га) - площадь всей земли совхоза, тогда 4/9х (га) - занимают луга, 3/5(х - 4/9х) = 3/5 * 5/9х = 3/9х (га) - посевная площадь.
По условию задачи площадь лугов больше посевной площади на 520 га. Уравнение:
4/9х - 3/9х = 520
1/9х = 520
х = 520 : 1/9
х = 520 * 9
х = 4680
Ответ: 4680 га - площадь всей земли совхоза.                  

Answer 2

Calculation of the Total Area of the Collective Farm

To find the total area of the collective farm, we need to consider that 60% of the land is used for cultivation, while the remaining land is covered by forests. Additionally, we know that the area of meadows is 520 hectares larger than the cultivated area.

Let's denote the total area of the collective farm as T, the cultivated area as C, the forested area as F, and the area of meadows as M.

From the given information, we can write the following equations:

1. The cultivated area is 60% of the total area: C = 0.6T.

2. The forested area is the remaining land after subtracting the cultivated area: F = T - C.

3. The area of meadows is 520 hectares larger than the cultivated area: M = C + 520.

To find the total area of the collective farm (T), we need to solve these equations simultaneously.

Let's substitute equation 1 into equation 2 to eliminate C:

F = T - 0.6T = 0.4T.

Now, substitute equation 3 into the modified equation 2:

F = M - 520.

Since both equations 2 and 3 represent the same value (F), we can equate them:

0.4T = M - 520.

Now, substitute equation 1 into the modified equation 3:

0.4T = 0.6T + 520.

Simplifying the equation:

0.4T - 0.6T = 520.

-0.2T = 520.

Dividing both sides by -0.2:

T = 520 / -0.2.

Calculating the value:

T = -2600.

However, a negative area does not make sense in this context. It is likely that there is an error in the given information or the calculations. Please double-check the values provided and ensure the correct information is used for the calculation.

If you have any further questions, feel free to ask!