Question

В трёх вагонах поезда едут 100 пассажиров.В первом и втором вагонах вместе 66 пассажиров,а во втором и третьем вагонах 69 пассажиров.Сколько пассажиров в каждом вагоне? Задача с объеснением!

Answer 1

1) 100-66=34(п) едут в третьем вагоне. 2) 69-34=35(п) едут во втором вагоне. 3) 66-35=31(ч) в первом вагоне. Ответ: 31, 35 и 34 пассажира.

Answer 2

Пусть х - количество пассажиров в первом вагоне, тогда (66-х) количество пассажиров вот втором вагоне, а 69-(66-х) в третьем. Составим уравнение:
х + (66-х) + 69-(66-х) = 100
х + 66 - х + 69 - 66 + х = 100
х = 100 - 69
х = 31 - в первом вагоне
66-31=35 - во втором вагоне
69-35=34 - в третье вагоне

Answer 3

Solving the Train Passenger Problem

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

Let's denote the number of passengers in the first, second, and third train cars as x, y, and z respectively.

We are given the following information: 1. In the first and second train cars, there are 66 passengers in total. 2. In the second and third train cars, there are 69 passengers in total. 3. In total, there are 100 passengers across all three train cars.

Setting Up Equations

We can represent the given information as a system of equations:

1. x + y = 66 (Equation 1) - representing the total passengers in the first and second train cars. 2. y + z = 69 (Equation 2) - representing the total passengers in the second and third train cars. 3. x + y + z = 100 (Equation 3) - representing the total passengers across all three train cars.

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 + y + z) - (y + z) = 100 - 69 which simplifies to: x = 31 (Equation 4)

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

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

Conclusion

Therefore, the number of passengers in each train car is: - 31 passengers in the first train car, - 35 passengers in the second train car, and - 34 passengers in the third train car.

So, there are 31 passengers in the first car, 35 in the second, and 34 in the third car.