Question

4. У двох контейнерах було порівну картоплі. Коли з першого контейнера взяли 13 кг картоплі, а з другого взяли 31 кг, то в другому контейнері залишилось у 3 рази менше картоплі, ніж у першому. Скільки картоплі було в кожному контейнері спочатку?

Answer 1

Ответ:

Пошаговое объяснение:

Позначимо кількість картоплі в кожному контейнері через х. Тоді з опису задачі можна скласти наступну систему рівнянь:

x - 13 = 3( x - 31)

x - 13 = 3x - 93

2x = 80

x = 40

Отже, спочатку в кожному контейнері було по 40 кг картоплі.

Answer 2

Problem Analysis

We are given two containers with an equal amount of potatoes initially. After taking 13 kg of potatoes from the first container and 31 kg from the second container, the amount of potatoes remaining in the second container is three times less than the amount remaining in the first container. We need to determine the initial amount of potatoes in each container.

Solution

Let's assume the initial amount of potatoes in each container is x kg.

According to the problem, the following conditions are given: 1. The amount of potatoes remaining in the second container is three times less than the amount remaining in the first container after taking 13 kg and 31 kg, respectively. 2. The initial amount of potatoes in each container is equal.

Based on these conditions, we can set up the following equation:

x - 13 = 3(x - 31)

Let's solve this equation to find the value of x.

Expanding the equation:

x - 13 = 3x - 93

Rearranging the terms:

3x - x = 93 - 13

Simplifying:

2x = 80

Dividing both sides by 2:

x = 40

Therefore, the initial amount of potatoes in each container was 40 kg.

Answer

The initial amount of potatoes in each container was 40 kg.