Question

В первом вагоне в 1,5 раза больше груза, чем во втором. Если из первого вагона взять 5,8 т, а во второй добавить 14,2 т, то груза в вагонах будет поровну. Сколько тонн груза было в каждом вагоне первоначально?

Answer 1

Пусть в втором вагоне x груза. Тогда в первом 1,5x. Если из первого взять 5,8 (1,5x-5,8) , а во второй добавить 14,2 (x+14,2) то масса груза будет одинакова в обоих вагонах. Составим и решим уравнение.
1,5x-5,8=x+14,2
1,5x-x=14,2+5,8
0,5x=20
X=20/0,5
X=40

Answer 2

Problem Analysis

We are given that there is 1.5 times more cargo in the first wagon than in the second wagon. If we take 5.8 tons from the first wagon and add 14.2 tons to the second wagon, the cargo will be evenly distributed between the two wagons. We need to find the initial amount of cargo in each wagon.

Solution

Let's assume the initial amount of cargo in the second wagon is x tons. Since the first wagon has 1.5 times more cargo than the second wagon, the initial amount of cargo in the first wagon would be 1.5x tons.

According to the given information, if we take 5.8 tons from the first wagon and add 14.2 tons to the second wagon, the cargo will be evenly distributed between the two wagons. This means that the total amount of cargo in both wagons will be the same.

We can set up the following equation to represent the total amount of cargo in both wagons:

1.5x - 5.8 + x + 14.2 = 1.5x + x

Simplifying the equation:

2.5x + 8.4 = 2.5x

Subtracting 2.5x from both sides:

8.4 = 0

This equation has no solution, which means there is no valid solution to the problem. The given information is contradictory, and it is not possible to determine the initial amount of cargo in each wagon based on the given conditions.

Therefore, there is no solution to this problem.