Question

Задача по математике помогите решить с помощью уравнения двустороним ну у которого после равно еще идет вот задача: в 3х цехах 1800рабочих в 1ц в 1,2 раза больше чем во 2 а в 3 на 100 ч больше чем в 1 сколько рабочих в каждом цехе?

Answer 1

2ц х
1ц 1,2х
3ц 1,2x+100

x+1,2x+1,2x+100=1800
3,4x+100=1800
3,4x=1800-100
3,4x=1700
x=1700/3,4
x=500 (2цех)
1,2*500=600(1цех)
600+100=700(3цех)

Answer 2

Solving the Math Problem Using Equations

To solve the given problem, we can use a system of equations to represent the relationships between the number of workers in the three workshops.

Let's denote: - The number of workers in the first workshop as x - The number of workers in the second workshop as y - The number of workers in the third workshop as z

We are given the following information: 1. In three workshops, there are 1800 workers in total. 2. The number of workers in the first workshop is 1.2 times the number of workers in the second workshop. 3. The number of workers in the third workshop is 100 more than the number of workers in the first workshop.

We can now set up a system of equations based on this information.

Setting Up the Equations

1. The total number of workers in the three workshops is 1800: - x + y + z = 1800

2. The number of workers in the first workshop is 1.2 times the number of workers in the second workshop: - x = 1.2y

3. The number of workers in the third workshop is 100 more than the number of workers in the first workshop: - z = x + 100

Now, we can solve this system of equations to find the values of x, y, and z.

Solving the Equations

Substitute the value of x from equation 2 into equations 1 and 3 to solve for y and z.

1. Substitute x = 1.2y into equation 1: - 1.2y + y + z = 1800 - 2.2y + z = 1800

2. Substitute x = 1.2y into equation 3: - z = 1.2y + 100

Now, we have a system of two equations with two variables (y and z). We can solve this system to find the values of y and z.

Let's proceed with solving these equations to find the values of y and z.