Question

Решите задачку! Налитая в сосуд вода занимает 2/9 его объёма. Когда в него нашили ещё 22 литра воды, то оказалось, что заполнено водой 5/6 его объёма. Сколько литров воды стало в сосуде?

Answer 1

5/6-2/9=15/18-4/18=11/18-залили в сосуд
22*11/18=22*18:11=36л-объем сосуда
36*2/9=36*2:9=8л-было в сосуде
22+8=30л-стало в сосуде
Ответ: 30л

Answer 2

Я так понимаю что всего 15/18литра

Answer 3

Problem Analysis

To solve this problem, we need to find the total volume of water in the vessel after 22 liters of water were added. We are given that initially, the water in the vessel occupied 2/9 of its volume, and after adding 22 liters, it occupied 5/6 of its volume.

Solution

Let's assume the total volume of the vessel is V liters.

According to the problem, initially, the water in the vessel occupied 2/9 of its volume. Therefore, the volume of water in the vessel initially is (2/9) * V liters.

After adding 22 liters of water, the water in the vessel occupied 5/6 of its volume. Therefore, the volume of water in the vessel after adding 22 liters is (5/6) * V liters.

We can set up the following equation to solve for V:

(2/9) * V + 22 = (5/6) * V

To solve this equation, we can multiply both sides by 18 to eliminate the fractions:

18 * (2/9) * V + 18 * 22 = 18 * (5/6) * V

4V + 396 = 15V

396 = 11V

V = 396 / 11

V = 36

Therefore, the total volume of the vessel is 36 liters.

To find the volume of water in the vessel after adding 22 liters, we substitute V = 36 into the equation:

(5/6) * 36 = 30 liters

The volume of water in the vessel after adding 22 liters is 30 liters.

Answer

The volume of water in the vessel after adding 22 liters is 30 liters.