Question

Рядом стоят две бочки. Когда из одной взяли 7 ведер воды, а в другую налили 3 ведра воды, то в обоих бочках воды стало поровну. На сколько ведер воды в одной из бочек было больше, чем в другой?

Answer 1

Пусть х - литров стало в каждой бочке, тогда в 1 бочке было (х+7), во второй было (х-3)
Теперь надо узнать насколько в 1 больше было чем во 2:
(х+7)-(х-3)=х+7-х+3=10 ведер 
ответ: на 10 вёдер воды в 1 бочке было больше, чем во второй

Answer 2

Problem Analysis

We have two barrels. From one barrel, 7 buckets of water were taken, and 3 buckets of water were poured into the other barrel. After this operation, the amount of water in both barrels became equal. We need to determine the difference in the amount of water in the two barrels.

Solution

Let's assume that the initial amount of water in the first barrel is x buckets. After taking 7 buckets from it, the remaining amount of water in the first barrel is x - 7 buckets. Similarly, let's assume that the initial amount of water in the second barrel is y buckets. After pouring 3 buckets into it, the final amount of water in the second barrel is y + 3 buckets.

According to the problem statement, the amount of water in both barrels became equal after these operations. Therefore, we can set up the following equation:

x - 7 = y + 3

To find the difference in the amount of water in the two barrels, we need to solve this equation for x - y.

Let's solve the equation:

x - 7 = y + 3

Adding 7 to both sides:

x = y + 10

So, the difference in the amount of water in the two barrels is x - y = 10 buckets.

Therefore, there were 10 buckets more water in one barrel than in the other.

Answer

There were 10 buckets more water in one barrel than in the other.