Question

Воду из бака разлили по бидонам. Сколько литров воды было в баке если в первый бидон разлили 3 / 10 всей воды во второй бидон 2 / 3 всей воды а в третий бидон на 8 л меньше чем первый бидон? помогите пожалуйста!

Answer 1

1 - вся вода в баке
3/10+2/3=9/30+20/30=29/30 налили в 1-й и 2-й
1-29/30=30/30-29/30=1/30  налили в 3-й
3/10-1/30=9/30-1/30=8/30=4/15  на столько меньше налили в 3-й бидон, чем в первый, но это 8 л, отсюда:
8 л:4/15=30 л
Ответ: в баке было 30 л воды

проверка
30*3/10-30*1/30=8
9-1=8
8=8

Answer 2

3/10x+2/3x+3/10x-8=x Приводим к общему знаменателю 30 (9+20+9)x-8=x 38/30x-8=x 38/30x-x=8 4/15x=8 X=30

Answer 3

Calculating the Amount of Water in the Tank

To calculate the amount of water in the tank, we can use the information provided about how the water was distributed among the three containers.

Let's denote the total amount of water in the tank as W.

1. The first container received 3/10 of the total water. 2. The second container received 2/3 of the total water. 3. The third container received 8 liters less than the first container.

We can set up the following equations based on the given information:

- First container: 3/10 * W - Second container: 2/3 * W - Third container: (3/10 * W) - 8

We can then solve for the total amount of water in the tank W using these equations.

Solving for the Total Amount of Water

To solve for W, we can use the information provided and set up the following equation:

W = (3/10 * W) + (2/3 * W) + (3/10 * W) - 8

Solving for W: W = (3/10 * W) + (2/3 * W) + (3/10 * W) - 8

W = 3/10W + 2/3W + 3/10W - 8

W = 9/10W + 2/3W - 8

W = 27/30W + 20/30W - 8

W = 47/30W - 8

8 = 47/30W - W

8 = 17/30W

W = 8 / (17/30)

W = 8 * (30/17)

W = 240 / 17

W ≈ 14.12 liters

Answer

The total amount of water in the tank was approximately 14.12 liters.