Question

В трех цехах фабрики работают 480 человек. Число людей, работающих во втором цехе, составляет 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?

Answer 1

Пусть в 1 цехе работают х людей, тогда во 2 цехе работают: 0,36х людей, а в 3 работают: 2*0,36х/3 = 0,24х

Уравнение:

х + 0,36х + 0,24х = 480

1,6х = 480

х = 300,   0,36х = 108,  0,24х = 72.

Ответ: 300;  108;  72.

Answer 2

1 цех - х

2 цех - 0,36х

3 цех - 0,36х * 2/3 = 0,24х

 

Решение:

х + 0,36х + 0,24х = 480

1,6х = 480

х = 300 в 1 цехе

0,36 * 300 = 108 во 2 цехе

0,24 * 300 = 72 в 3 цехе

Ответ: 300; 108; 72.

Answer 3

Calculation of the Number of People in Each Workshop

To determine the number of people working in each workshop, we can follow the given information step by step.

Let's denote the number of people in the first workshop as x.

According to the given information: - The number of people in the second workshop is 36% of the number of people in the first workshop. - The number of people in the third workshop is 2/3 of the number of people in the second workshop.

Based on these relationships, we can calculate the number of people in each workshop.

1. Number of people in the second workshop: - The number of people in the second workshop is 36% of the number of people in the first workshop. - Mathematically, this can be expressed as: 0.36x.

2. Number of people in the third workshop: - The number of people in the third workshop is 2/3 of the number of people in the second workshop. - Mathematically, this can be expressed as: (2/3)(0.36x).

To find the total number of people in all three workshops, we can add up the number of people in each workshop:

x + 0.36x + (2/3)(0.36x) = 480

Now, we can solve this equation to find the value of x.

Let's calculate it step by step:

x + 0.36x + (2/3)(0.36x) = 480

Simplifying the equation:

1x + 0.36x + (2/3)(0.36x) = 480

1x + 0.36x + 0.24x = 480

1.6x = 480

Dividing both sides of the equation by 1.6:

x = 480 / 1.6

x = 300

Therefore, the number of people in the first workshop is 300.

Now, let's calculate the number of people in the second and third workshops:

1. Number of people in the second workshop: - 36% of the number of people in the first workshop: 0.36 * 300 = 108

2. Number of people in the third workshop: - 2/3 of the number of people in the second workshop: (2/3) * 108 = 72

Therefore, the number of people in each workshop is as follows: - First workshop: 300 - Second workshop: 108 - Third workshop: 72

Please note that these calculations are based on the given information and the assumptions made.