Question

В 3 вагонах поезда едут 100 пассажиров в первом и втором вагонах вместе 66 пассажиров, а во втором и третьем вагонах вместе 69 пассажиров. Сколько пассажиров в каждом вагоне? За ответ даю 40 баллов

Answer 1

1)100-66=34 (п)-в третьем вагоне
2)100-69=31 (п)-в первом вагоне
3)100-34-31=35 (п)-во втором вагоне

Answer 2

1) 100 - 66 = 34 (пас.) - едет в третьем вагоне
2) 100 - 69 = 31 (пас.) - едет в первом вагоне
3) 66 - 31 = 35 (пас.) - едет во втором вагоне
Проверка: 34 + 31 + 35 = 100

Answer 3

Calculating the Number of Passengers in Each Wagon

To solve this problem, we can use a system of equations to represent the given information and solve for the number of passengers in each wagon.

Let's denote: - The number of passengers in the first wagon as x. - The number of passengers in the second wagon as y. - The number of passengers in the third wagon as z.

We are given the following information: 1. In the first and second wagons together, there are 66 passengers. 2. In the second and third wagons together, there are 69 passengers. 3. The total number of passengers in all three wagons is 100.

Setting Up the Equations

We can set up the following system of equations based on the given information:

1. x + y = 66 (Equation 1) 2. y + z = 69 (Equation 2) 3. x + y + z = 100 (Equation 3)

Solving the System of Equations

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

Subtracting Equation 2 from Equation 3, we get: x = 31 (Equation 4)

Substituting the value of x into Equation 1, we get: 31 + y = 66 y = 66 - 31 y = 35 (Equation 5)

Substituting the value of y into Equation 2, we get: 35 + z = 69 z = 69 - 35 z = 34 (Equation 6)

Conclusion

Therefore, the number of passengers in each wagon is: - 31 passengers in the first wagon - 35 passengers in the second wagon - 34 passengers in the third wagon