Question

В сталелитейном цехе в 3 раза больше рабочих, чем в модельном цехе. Когда со сталелитейного цеха уволилось 5 человек, а в модельный цех приняли 35 человек, то в цехах стало поровну рабочих. Сколько рабочих было в каждом цехе?

Answer 1

Пусть Х - в модельном цехе. Тогда ( 3х)- в сталелитейном. Составляем уравнение: 3х - 5= х + 35.                                                                                                     3х - х = 35 + 5                                                                                                    2х = 40                                                                                                               х= 20.                                                                                         Значит 20 рабочих в модельном цехе. Следовательно 20 х 3 = 60( раб)- в сталелитейном. Ответ: 20 р, 60 р.

Answer 2

Calculation of the Number of Workers in Each Workshop

To determine the number of workers in each workshop, we can set up a system of equations based on the given information.

Let's assume that the number of workers in the steel casting workshop is represented by x, and the number of workers in the model workshop is represented by y.

According to the given information: - The steel casting workshop has three times as many workers as the model workshop: x = 3y. - When 5 workers left the steel casting workshop and 35 workers were hired in the model workshop, the number of workers became equal in both workshops: x - 5 = y + 35.

We can solve this system of equations to find the values of x and y.

Substituting the first equation into the second equation, we get: 3y - 5 = y + 35.

Simplifying the equation, we have: 2y = 40.

Dividing both sides of the equation by 2, we find: y = 20.

Substituting the value of y back into the first equation, we get: x = 3 * 20 = 60.

Therefore, there were 60 workers in the steel casting workshop and 20 workers in the model workshop.

Please let me know if there is anything else I can help you with!