Question

Решите задачу. Во 2-ой корзине было в 3 раза больше огурцов чем в 1-ой.Когда в 1-ую корзину добавили 25 кг огурцов а из 2-ой взяли 15 кг огурцов то в обеих корзинах огурцов стало поровну.Сколько кг огурцов было в каждой корзине???

Answer 1

X - кол-во огурцов в 1 корзине
3х - кол-во огурцов во 2 корзине

$x+25=3x-15 \\ 3x-x=25+15 \\ 2x=40 \\ x=20 \\ 3x=60$

Ответ: в первой корзине было 20 огурцов, а во второй - 60.

Answer 2

Problem Analysis

We are given two baskets, and initially, the second basket contains three times as many cucumbers as the first basket. After adding 25 kg of cucumbers to the first basket and removing 15 kg of cucumbers from the second basket, both baskets have an equal amount of cucumbers. We need to find the initial amount of cucumbers in each basket.

Solution

Let's assume the initial amount of cucumbers in the first basket is x kg. According to the problem, the second basket initially contains three times as many cucumbers as the first basket, so the initial amount of cucumbers in the second basket is 3x kg.

After adding 25 kg of cucumbers to the first basket, the total amount of cucumbers in the first basket becomes x + 25 kg. After removing 15 kg of cucumbers from the second basket, the total amount of cucumbers in the second basket becomes 3x - 15 kg.

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

x + 25 = 3x - 15

Simplifying the equation, we get:

2x = 40

Solving for x, we find:

x = 20

So, the initial amount of cucumbers in the first basket is 20 kg, and the initial amount of cucumbers in the second basket is three times that, which is 60 kg.

Therefore, there were 20 kg of cucumbers in the first basket and 60 kg of cucumbers in the second basket.

Answer

There were 20 kg of cucumbers in the first basket and 60 kg of cucumbers in the second basket.