Question

2. Из трёх вагонов вышло 56 пассажиров. Восьмаячасть пассажиров вышла из второго вагона. Сколько пассажиров вышло из третьего вагона, если из первого вагона вышло 20 человек?

Answer 1

56:8=7 (пасс-ов) вышли из 2-го
56-20-7=29 (пасс-ов)
Ответ: из третьего вагона вышли 29 пассажиров

Answer 2

Problem Analysis

We are given that 56 passengers exited from three train cars. One-eighth of the passengers exited from the second car, and 20 passengers exited from the first car. We need to determine how many passengers exited from the third car.

Solution

Let's denote the number of passengers who exited from the first car as x and the number of passengers who exited from the third car as y.

From the given information, we can set up the following equations:

1. x + y + (1/8)(x + y) = 56: This equation represents the total number of passengers who exited from all three cars. 2. x = 20: This equation represents the number of passengers who exited from the first car.

To find the number of passengers who exited from the third car, we need to solve these equations simultaneously.

Solving the Equations

Substituting the value of x from equation 2 into equation 1, we get:

20 + y + (1/8)(20 + y) = 56

Simplifying the equation:

20 + y + (1/8)(20) + (1/8)(y) = 56 20 + y + 2.5 + 0.125y = 56 1.125y = 56 - 20 - 2.5 1.125y = 33.5 y = 33.5 / 1.125 y ≈ 29.78

Since the number of passengers must be a whole number, we can round y to the nearest whole number:

y ≈ 30

Therefore, approximately 30 passengers exited from the third car.

Answer

Approximately 30 passengers exited from the third car.

Verification

Let's verify our answer using the given information.

From the first car, 20 passengers exited. From the second car, one-eighth of the total passengers exited, which is (1/8)(56) = 7 passengers. Therefore, the remaining passengers must have exited from the third car: 56 - 20 - 7 = 29 passengers.

Our answer of approximately 30 passengers exiting from the third car matches the remaining passengers calculated from the given information.

Conclusion

Approximately 30 passengers exited from the third car.