Question

5. В одной корзине было в 3 раза больше кг ягод, чем в другой. Когда из одной корзины взяли 8 кг, а в другую корзину добавили 14 кг, то количество кг ягод в обеих корзинах стало поровну. Сколько кг ягод в каждой корзине было первоначально?

Answer 1

Ответ:

3 х — 8=х +14; 2) 2 х=22 3) х=11 Ответ: В первой корзине — 33 кг, во второй — 11 кг.

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Answer 2

Problem Analysis

We are given two baskets of berries, where one basket has three times more kilograms of berries than the other. After taking 8 kilograms from one basket and adding 14 kilograms to the other, the total kilograms of berries in both baskets became equal. We need to find the initial number of kilograms of berries in each basket.

Solution

Let's assume the number of kilograms of berries in the smaller basket is x. According to the problem, the larger basket has three times more kilograms of berries, so the number of kilograms in the larger basket is 3x.

After taking 8 kilograms from the smaller basket, the remaining amount of berries in the smaller basket is x - 8. After adding 14 kilograms to the larger basket, the new amount of berries in the larger basket is 3x + 14.

According to the problem, the total kilograms of berries in both baskets became equal. Therefore, we can set up the following equation:

(x - 8) + (3x + 14) = x + 3x

Simplifying the equation:

4x + 6 = 4x

We can see that 4x cancels out on both sides of the equation, leaving us with 6 = 0. This means that there is no solution to the equation, which implies that the problem is not solvable.

Therefore, there is no initial number of kilograms of berries that satisfies the given conditions.