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, то в корзинах ягод стало поровну. Сколько килограммов ягод было в каждой корзине первоначально?

Answer 1

Пусть во второй корзине было х ягод,тогда во второй-3х ягод.Так как из первой взяли 8 кг,а во вторую добавили 14 кг,то составим равенство

3х-8=х+14

2х=22

х=11

Во второй-11 кг.а в первой-11"3=33

Answer 2

Problem Analysis

We are given two baskets of berries, and the first basket has 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 to the second basket, the number of berries in the baskets became equal. We need to find the initial weight of berries in each basket.

Solution

Let's assume the initial weight of berries in the second basket is x kg. Since the first basket has three times as many berries as the second basket, the initial weight of berries in the first basket is 3x kg.

After taking 8 kg of berries from the first basket, the weight of berries in the first basket becomes 3x - 8 kg. After adding 14 kg of berries to the second basket, the weight of berries in the second basket becomes x + 14 kg.

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

3x - 8 = x + 14

Now we can solve this equation to find the value of x.

Calculation

Let's solve the equation:

3x - 8 = x + 14

Subtract x from both sides:

2x - 8 = 14

Add 8 to both sides:

2x = 22

Divide both sides by 2:

x = 11

So the initial weight of berries in the second basket is 11 kg.

Since the first basket has three times as many berries as the second basket, the initial weight of berries in the first basket is 3 * 11 = 33 kg.

Therefore, the initial weight of berries in each basket was 33 kg in the first basket and 11 kg in the second basket.

Answer

The initial weight of berries in each basket was 33 kg in the first basket and 11 kg in the second basket.