Question

В 1-ом ящике в 5 раз больше кг лука, чем во 2-ом. Когда из первого ящика взяли 16 кг, а во второй добавили 24 кг, то стало поровну. Сколько кг лука было в каждом ящике? Дам 35 баллов, помогите пжлст :)

Answer 1

Problem Analysis

We are given two boxes, and the weight of onions in the first box is five times greater than the weight of onions in the second box. After taking 16 kg from the first box and adding 24 kg to the second box, the weights become equal. We need to find the weights of onions in each box.

Let's assume the weight of onions in the second box is x kg. According to the problem, the weight of onions in the first box is five times greater than the weight in the second box, so it would be 5x kg.

After taking 16 kg from the first box, the weight becomes 5x - 16 kg. After adding 24 kg to the second box, the weight becomes x + 24 kg. According to the problem, these weights are equal.

Solution

To solve the problem, we can set up the following equation:

5x - 16 = x + 24

Simplifying the equation:

4x = 40

Dividing both sides by 4:

x = 10

So, the weight of onions in the second box is 10 kg. Since the weight of onions in the first box is five times greater, it would be 5 * 10 = 50 kg.

Therefore, there were 50 kg of onions in the first box and 10 kg of onions in the second box.

Answer

There were 50 kg of onions in the first box and 10 kg of onions in the second box.