Question

Первый рабочий выпустил в 2 раза больше деталей, чем второй, а третий на 12 больше, чем второй. Вместе они выпустили 100 деталей. Сколько деталей выпустил каждый рабочий?

Answer 1

Пусть второй рабочий х, тогда первый рабочий 2х, а третий х+12
1)Составим и решим уравнение
2х+х+х+12=100
4х=100-12
4х=88
х=88:4
х=22
22-второй рабочий
2)22*2=34-первый рабочий
3)22+12=34-третий рабочий

Answer 2

Ответ:

1 рабочий 44, второй 22, третий 34 детали

Пошаговое объяснение:

Пусть второй рабочий выпустил - x деталей, тогда первый выпустил -2x, а третий - (x+12) деталей. Имеем уравнение:

x + 2x + x + 12 = 100

4x + 12 = 100

4x = 100-12

4x = 88

× = 88/4

x = 22 (второй рабочий)

2x =22×2=44 (первый рабочий)

x+12=22+12=34 (третий рабочий)

Answer 3

Calculating the Number of Parts Produced by Each Worker

To solve this problem, we can set up a system of equations based on the given information. Let's denote the number of parts produced by the first worker as x, the number of parts produced by the second worker as y, and the number of parts produced by the third worker as z.

We are given the following information: 1. The first worker produced twice as many parts as the second worker: x = 2y 2. The third worker produced 12 more parts than the second worker: z = y + 12 3. Together, they produced 100 parts: x + y + z = 100

Solving the System of Equations

We can use the first two equations to express x and z in terms of y: 1. From the first given condition, we have x = 2y 2. From the second given condition, we have z = y + 12

Substituting these expressions into the third equation, we get: 2y + y + (y + 12) = 100 4y + 12 = 100 4y = 88 y = 22

Now that we have found the value of y, we can find the values of x and z: 1. x = 2y = 2 * 22 = 44 2. z = y + 12 = 22 + 12 = 34

Conclusion

Therefore, the first worker produced 44 parts, the second worker produced 22 parts, and the third worker produced 34 parts.