
В трех цехах фабрики работают 480 человек.Число людей , работающих во втором цехе,составляют 36%
числа людей первого цеха ,а число людей , работающих в третьем цехе , составляет 2/3 числа людей второго цеха .Сколько человек работает в каждом из этих цехов?

Ответы на вопрос




1,6Х = 480
Х = 480:1,6 =300 ЛЮДЕЙ В ПЕРВОМ ЦЕХЕ
300 * 0,36 = 108 ЛЮДЕЙ ВО ВТОРОМ ЦЕХЕ
108 * 2/3 = 72 ЛЮДЕЙ В ТРЕТЬЕМ ЦЕХЕ
ОТВЕТ: В ПЕРВОМ ЦЕХЕ 300 ЛЮДЕЙ,ВО ВТОРОМ ЦЕХЕ 106 ЛЮДЕЙ,В ТРЕТЬЕМ ЦЕХЕ 72 ЧЕЛОВЕКА



Calculating the Number of Workers in Each Department
To calculate the number of workers in each department, we can follow the given information and use algebraic expressions to represent the relationships between the three departments.
Let's denote: - The number of workers in the first department as x. - The number of workers in the second department as y. - The number of workers in the third department as z.
Given Information
- The total number of workers in all three departments is 480. - The number of workers in the second department is 36% of the number of workers in the first department. - The number of workers in the third department is 2/3 of the number of workers in the second department.Calculations
We can use the given information to set up a system of equations to solve for the number of workers in each department.1. The total number of workers in all three departments is 480: - This can be represented as: x + y + z = 480.
2. The number of workers in the second department is 36% of the number of workers in the first department: - This can be represented as: y = 0.36x.
3. The number of workers in the third department is 2/3 of the number of workers in the second department: - This can be represented as: z = (2/3)y.
Solving the System of Equations
We can solve the system of equations to find the values of x, y, and z.Using the second equation, we can express x in terms of y: - x = y / 0.36.
Substituting this value of x into the first equation: - (y / 0.36) + y + (2/3)y = 480.
Solving for y will give us the number of workers in the second department. Then, we can find the number of workers in the first and third departments using the relationships provided.
Let's proceed with the calculations.


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