Question

В первой корзине было в 3 раза больше ягод , чем во второй. Когда из первой корзины взяли 8 кг ягод, а во вторую добавили 14 кг ягод, а во вторую добавили 14 кг яблок, то в корзинах стало поровну. Сколько кг ягод было в корзине первоночально.

Answer 1

1корзина: 3х-8
2корзина:х+14

Решение:
Зх-8=х+14
Зх-х=14+8
2х=22
х=22:2
х=11
Ответ: 11кг было первоначально в корзине

Answer 2

Problem Analysis

We are given two baskets, and the first basket initially contains three times as many berries as the second basket. After taking 8 kg of berries from the first basket and adding 14 kg of berries and 14 kg of apples to the second basket, the two baskets have an equal amount of fruit. We need to determine the initial amount of berries in the first basket.

Solution

Let's assume that the second basket initially contains x kg of berries. According to the problem, the first basket initially contains three times as many berries as the second basket, so the first basket contains 3x kg of berries.

After taking 8 kg of berries from the first basket, the remaining amount of berries in the first basket is 3x - 8 kg. Adding 14 kg of berries to the second basket gives us x + 14 kg of berries in the second basket. Additionally, 14 kg of apples are added to the second basket, but since we are only interested in the amount of berries, we can ignore the apples.

According to the problem, the two baskets have an equal amount of fruit after these operations. Therefore, we can set up the following equation:

3x - 8 = x + 14

Simplifying the equation, we get:

2x = 22

Solving for x, we find:

x = 11

Therefore, the second basket initially contained 11 kg of berries. Since the first basket initially contains three times as many berries, it contained 3 * 11 = 33 kg of berries.

Answer

The initial amount of berries in the first basket was 33 kg.

Explanation

To solve this problem, we set up an equation based on the given information and solved for the unknown variable. The second basket initially contained 11 kg of berries, and the first basket initially contained three times as many berries, which is 33 kg. This solution satisfies the conditions given in the problem statement.