Question

У першому цеху було в 5 разів більше робітників, ніж у другому. Після того як з першого цеху 8 робітників перевели до другого цеху, в обох цехах стало людей порівну. Скільки робітників було в кожному цеху спочатку?

Answer 1

Ответ:

В першому цеху було спочатку 20 робітників а в другому цеху 4

Answer 2

Problem Analysis

We are given that the first workshop had 5 times more workers than the second workshop. After 8 workers were transferred from the first workshop to the second workshop, the number of workers became equal in both workshops. We need to determine the initial number of workers in each workshop.

Solution

Let's assume the initial number of workers in the second workshop is x. According to the given information, the first workshop had 5 times more workers than the second workshop, so the initial number of workers in the first workshop would be 5x.

After 8 workers were transferred from the first workshop to the second workshop, the number of workers became equal in both workshops. This means that the number of workers in the first workshop decreased by 8, while the number of workers in the second workshop increased by 8.

To find the initial number of workers in each workshop, we can set up the following equation:

5x - 8 = x + 8

Simplifying the equation, we get:

4x = 16

Dividing both sides of the equation by 4, we find:

x = 4

Therefore, the initial number of workers in the second workshop was 4, and the initial number of workers in the first workshop was 5 times that, which is 20.

Answer

The initial number of workers in the first workshop was 20, and the initial number of workers in the second workshop was 4.