Question

Після того як з басейну спустили 1/6 частину набраної води та ще 700 л, у ньому залишилося 3/5 об'єму води. Скільки було набрано води в басейн спочатку?

Answer 1

Відповідь:

В басейн спочатку було набрано 3000 літрів води.

Покрокове пояснення:

Позначимо як Х - весь об'єм басейну.

Після того як з басейну спустили 1/6 частину набраної води та ще 700 літрів, у ньому залишилося 3/5 об'єму води. Таким чином з басейну спустили:

Х - 3/5 × Х = 5/5 × Х - 3/5 × Х = 2/5 × Х об'єму води.

Маємо рівняння:

1/6 × Х + 700 = 2/5 × Х

( 2/5 - 1/6 ) × Х = 700

( 12/30 - 5/30 ) × Х = 700

7/30 × Х = 700

Х = 700 × 30/7

Х = 30 × 700/7

Х = 30 × 100

Х = 3000 літрів.

В басейн спочатку було набрано 3000 літрів води.

Answer 2

Problem Analysis

We are given that after draining 1/6 of the water from a pool and adding an additional 700 liters, the pool is left with 3/5 of its original volume of water. We need to determine the initial volume of water in the pool.

Solution

Let's assume the initial volume of water in the pool is represented by the variable x.

According to the given information: - After draining 1/6 of the water, the pool is left with 3/5 of its original volume. This can be represented as: (1 - 1/6)x = (3/5)x. - After adding 700 liters, the pool is still left with 3/5 of its original volume. This can be represented as: (3/5)x + 700 = (3/5)x.

To solve this equation, we can simplify it by multiplying both sides by 5 to eliminate the denominators: - 5(1 - 1/6)x = 5(3/5)x becomes (5 - 5/6)x = 3x. - 5(3/5)x + 5(700) = 5(3/5)x becomes 3x + 3500 = 3x.

Simplifying further: - (30/6 - 5/6)x = 3x becomes (25/6)x = 3x. - 3x + 3500 = 3x becomes 3500 = 0.

Since the equation 3500 = 0 is not possible, we can conclude that there is no solution to this problem. It seems there is an error or inconsistency in the given information.

Please double-check the problem statement or provide any additional information if available.