Question

Реши задачу одним из способов арифметическим или алгебраическим для обработки поля площадью 600 гектаров его разделили между тремя бригадами так что вторая бригада получила участок в 3 раза а третья в 2 раза больше первой сколько гектаров должна обработать каждая бригада

Answer 1

1)1+2+3=6 частей составляет всё поле
2)600:6=100 га приходится на одну часть,а значит столько получила первая бригада
3)100*3=300 га получила вторая
4)100*2=200 получила третья бригада
==========================
первая х
вторая 3х 
третья 2х
всего 600га
уравнение
х+3х+2х=600
6х=600
х=600:6
х=100 га первая бригада
100*3=300 га вторая бригада
100*2=200 га третья бригада

Answer 2

Problem Analysis

We are given a field with an area of 600 hectares, which is divided among three brigades. The second brigade receives a plot that is three times larger than the first brigade, and the third brigade receives a plot that is two times larger than the first brigade. We need to determine the area of land that each brigade should cultivate.

Solution

Let's assume the area of land cultivated by the first brigade is x hectares.

According to the problem, the second brigade receives a plot that is three times larger than the first brigade. Therefore, the area cultivated by the second brigade is 3x hectares.

Similarly, the third brigade receives a plot that is two times larger than the first brigade. Therefore, the area cultivated by the third brigade is 2x hectares.

The sum of the areas cultivated by all three brigades should be equal to the total area of the field, which is 600 hectares.

So, we can write the equation:

x + 3x + 2x = 600

Simplifying the equation:

6x = 600

Dividing both sides of the equation by 6:

x = 100

Therefore, the first brigade should cultivate 100 hectares, the second brigade should cultivate 300 hectares (3 times larger than the first brigade), and the third brigade should cultivate 200 hectares (2 times larger than the first brigade).

Answer

Each brigade should cultivate the following areas: - First brigade: 100 hectares - Second brigade: 300 hectares - Third brigade: 200 hectares

Please let me know if you need any further assistance!