Question

Нужна ваша помощь срочно!!!!!!!!!!!!! В первом ящике было в 5 раз больше мандаринов,чем во втором.Когда из первого ящика взяли 25 кг мандарином, а во второй положили 15 кг, то в обоих ящиках мандаринов стало поровну. Сколько килограммов мандаринов было в каждом ящике вначале?

Answer 1

1 ящик -x
2 ящик-y
{x=5y
{x-25=y+15
-{x-5y=0
-{x-y=40
-4y=-40|:(-4)
y=10
x=10*5
x=50

Answer 2

Problem Analysis

We are given two boxes of mandarins, with the first box having 5 times more mandarins than the second box. After taking 25 kg of mandarins from the first box and adding 15 kg to the second box, both boxes have an equal amount of mandarins. We need to find the initial weight of mandarins in each box.

Solution

Let's assume that the initial weight of mandarins in the second box is x kg. According to the problem, the first box has 5 times more mandarins than the second box, so the initial weight of mandarins in the first box is 5x kg.

After taking 25 kg of mandarins from the first box, the weight of mandarins in the first box becomes 5x - 25 kg. After adding 15 kg to the second box, the weight of mandarins in the second box becomes x + 15 kg.

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

5x - 25 = x + 15

Simplifying the equation, we get:

4x = 40

Dividing both sides of the equation by 4, we find:

x = 10

So, the initial weight of mandarins in the second box is 10 kg. Since the first box has 5 times more mandarins, the initial weight of mandarins in the first box is 5 * 10 = 50 kg.

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

Answer: The initial weight of mandarins in the first box was 50 kg, and the initial weight of mandarins in the second box was 10 kg.

Verification

Let's verify our solution using the given information.

According to the problem, after taking 25 kg of mandarins from the first box, the weight of mandarins in the first box becomes 5x - 25 kg. In our case, this would be 5 * 10 - 25 = 25 kg.

After adding 15 kg to the second box, the weight of mandarins in the second box becomes x + 15 kg. In our case, this would be 10 + 15 = 25 kg.

As we can see, both boxes have an equal weight of mandarins, which confirms that our solution is correct.

Conclusion

The initial weight of mandarins in the first box was 50 kg, and the initial weight of mandarins in the second box was 10 kg.