Question

В двух бригадах было одинаковое количество рабочих.после того,как из первой бригады перевели во вторую 8 рабочих,в ней стало в 3 раза меньше рабочих,чемво второй бригаде.сколько рабочих было в каждой бригаде первоначально???

Answer 1

Количество рабочих -x
(x-8)*3=x+8
3x-24=x+8
3x-x=8+24
2x=32:2
x=16

Answer 2

Problem Analysis

We are given that there were initially an equal number of workers in two brigades. After transferring 8 workers from the first brigade to the second brigade, the second brigade had three times fewer workers than the first brigade. We need to determine the initial number of workers in each brigade.

Solution

Let's assume the initial number of workers in each brigade is x.

According to the given information: - After transferring 8 workers from the first brigade to the second brigade, the second brigade had three times fewer workers than the first brigade. - This means the second brigade had x - 8 workers. - And the second brigade had 1/3 times the number of workers as the first brigade.

We can set up the following equation to represent this relationship:

(x - 8) = (1/3) * x

To solve for x, we can multiply both sides of the equation by 3:

3 * (x - 8) = x

Expanding the equation:

3x - 24 = x

Simplifying the equation:

2x = 24

Dividing both sides of the equation by 2:

x = 12

Therefore, the initial number of workers in each brigade was 12.

Answer

The initial number of workers in each brigade was 12.