Question

На заводе, имеющем три цеха, работает 6000 рабочих. Во втором цехе работает 1 1/2 раза меньше, чем в первом, а число рабочих третьего цеха составляет 5/6 числа рабочих второго цеха. Сколько рабочих в каждом цехе?

Answer 1

В первом и третьем 
x+1,5(200+x)=800 
x+300+1,5x=800 
2,5x=500 
x=200 

Итого в третьем - 200 человек 
Во втором - 400 
В первом - 600

Answer 2

Calculation of the Number of Workers in Each Workshop

To determine the number of workers in each workshop, let's assign variables to represent the number of workers in each workshop. Let's call the number of workers in the first workshop "x," the number of workers in the second workshop "y," and the number of workers in the third workshop "z."

According to the given information: - The total number of workers in the factory is 6000. - The number of workers in the second workshop is 1 1/2 times less than the number of workers in the first workshop. - The number of workers in the third workshop is 5/6 of the number of workers in the second workshop.

Based on these conditions, we can set up the following equations:

Equation 1: x + y + z = 6000 (total number of workers in the factory) Equation 2: y = (1 - 1/2) * x = 1/2 * x (number of workers in the second workshop) Equation 3: z = (5/6) * y = (5/6) * (1/2 * x) = (5/12) * x (number of workers in the third workshop)

To solve this system of equations, we can substitute the values from Equation 2 and Equation 3 into Equation 1 and solve for x.

Let's proceed with the calculations.