Question

В одном мешке в 5раз больше крупы чем в другом после того как из первого мешка пересыпали во второй 27кг крупы в обоих мешках столо поровну сколько всего кг крупы было в двух мешках?

Answer 1

Пусть в первом мешке х крупы, тогда в другом 5х
х+27=5х-27
4х=54
х=13,5
ответ в первом мешке 13,5 кг во втором 67,5кг

Answer 2

Problem Analysis

We have two bags of grain, with one bag containing 5 times more grain than the other. After transferring 27 kg of grain from the first bag to the second, the total amount of grain in both bags is equal. We need to determine the total weight of grain in both bags before the transfer.

Solution

Let's assume the weight of grain in the smaller bag is x kg. According to the problem, the larger bag contains 5 times more grain than the smaller bag, so the weight of grain in the larger bag is 5x kg.

After transferring 27 kg of grain from the first bag to the second, the weight of grain in the first bag becomes (x - 27) kg, and the weight of grain in the second bag becomes (5x + 27) kg.

Since the total weight of grain in both bags is equal, we can set up the following equation:

(x - 27) + (5x + 27) = 2x

Simplifying the equation:

6x = 54

Dividing both sides by 6:

x = 9

Therefore, the weight of grain in the smaller bag before the transfer was 9 kg. The weight of grain in the larger bag was 5 times more, so it was 5 * 9 = 45 kg.

Thus, the total weight of grain in both bags before the transfer was 9 kg + 45 kg = 54 kg.

Answer: The total weight of grain in both bags before the transfer was 54 kg.