Question

У першому ящику було в 5разів більше мандаринів,ніж у другому.Після того як із першого ящика взяли 25кг мандаринів а до другого поклали еще 15кг в обох ящиках мандаринів стало порівну.Скільки кілограмів мандаринів було в кожному ящику

Answer 1

Нехай х - кількість мандаринів у другому ящику
тоді 5х- кільк. мандаринів у першому
складемо рівняння:
5х-25=х+15
5х-х=15+25
4х=40
х=10 (кг) - мандаринів у другому ящику 
10·5=50 (кг) - у першому ящику

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of kilograms of mandarins in each box before any changes were made. We are given that the first box had 5 times more mandarins than the second box, and after taking 25 kg from the first box and adding 15 kg to both boxes, the mandarins were distributed equally between the two boxes.

Solution

Let's assume the number of kilograms of mandarins in the second box is x. According to the given information, the first box had 5 times more mandarins, so the number of kilograms of mandarins in the first box would be 5x.

After taking 25 kg from the first box, the remaining mandarins in the first box would be 5x - 25 kg. Adding 15 kg to both boxes would result in the same amount of mandarins in each box. Therefore, we can set up the following equation:

5x - 25 + 15 = x + 15

Simplifying the equation:

5x - 10 = x + 15

Subtracting x from both sides:

4x - 10 = 15

Adding 10 to both sides:

4x = 25

Dividing both sides by 4:

x = 6.25

So, the second box initially had 6.25 kg of mandarins, and the first box had 5 times more, which is 31.25 kg.

Answer

Initially, there were 31.25 kg of mandarins in the first box and 6.25 kg of mandarins in the second box.