Question

Решите задачу с помощью уравнения: "В трёх контейнерах - 17,8 т груза. В первом контейнере - в 3 раза больше груза , чем во втором, а в третьем - на 2,4 т меньше, чем в первом и втором вместе. Сколько тонн груза в каждом контейнере?" Помогите пж с решение быстро

Answer 1

Ответ:

Пусть х (т) - во втором контейнере, тогда 3х (т) в первом контейнере, а 4х-2,4 (т) в третьем контейнере. Всего 17,8 тонн груза

Составим уравнение:

Пошаговое объяснение:

х+3х+4х-2,4=17,8

8х=17,8+2,4

8х=20,2

х=2,525(т) - во втором контейнере

3*2,525=7,575(т) - в первом контейнере

7,575+2,525-2,4=7,7(т) - в третьем контейнере

Ответ: 2,525т; 7,575т; 7,7т

Answer 2

Problem Analysis

We are given three containers with a total weight of 17.8 tons. The weight in the first container is three times the weight in the second container, and the weight in the third container is 2.4 tons less than the combined weight of the first and second containers. We need to find the weight of each container.

Solution

Let's assume the weight in the second container is x tons.

According to the problem, the weight in the first container is three times the weight in the second container, so the weight in the first container is 3x tons.

The weight in the third container is 2.4 tons less than the combined weight of the first and second containers, so the weight in the third container is (3x + x - 2.4) tons.

The total weight in all three containers is 17.8 tons, so we can write the equation:

3x + x + (3x + x - 2.4) = 17.8

Simplifying the equation:

8x - 2.4 = 17.8

Adding 2.4 to both sides:

8x = 20.2

Dividing both sides by 8:

x = 2.525

So, the weight in the second container is 2.525 tons.

The weight in the first container is three times the weight in the second container, so the weight in the first container is 3 * 2.525 = 7.575 tons.

The weight in the third container is (3x + x - 2.4) tons, so the weight in the third container is (3 * 2.525 + 2.525 - 2.4) = 10.725 tons.

Therefore, the weight in each container is as follows: - First container: 7.575 tons - Second container: 2.525 tons - Third container: 10.725 tons

Answer

The weight in each container is as follows: - First container: 7.575 tons - Second container: 2.525 tons - Third container: 10.725 tons