Question

В первом бидоне было в 3 раза больше молока , чем во втором. После того как из первого бидона перелили во второй10 л молока, оказалось, что кол-во молока в первом бидоне составляет 4/3 того, что стало во втором. Сколько литров молока было в каждом бидоне сначала? можно пожалуйста с решением)

Answer 1

3х - 20 = х + 20
3х - х = 20 + 20
2х = 40
х = 20 (л.) - было во втором бидоне
20 · 3 = 60 (л.) - было в первом бидоне
Ответ: 60 литров

Answer 2

Problem Analysis

We are given two containers, and the first container initially contains three times more milk than the second container. After transferring 10 liters of milk from the first container to the second container, the amount of milk in the first container becomes 4/3 of the amount in the second container. We need to find the initial amount of milk in each container.

Solution

Let's assume that the initial amount of milk in the second container is x liters. According to the problem, the first container initially contains three times more milk than the second container, so the initial amount of milk in the first container is 3x liters.

After transferring 10 liters of milk from the first container to the second container, the amount of milk in the first container becomes 4/3 of the amount in the second container. This can be expressed as:

(3x - 10) = (4/3)x

To solve this equation, we can multiply both sides by 3 to eliminate the fraction:

3(3x - 10) = 4x

Simplifying the equation:

9x - 30 = 4x

Moving the variables to one side:

9x - 4x = 30

5x = 30

Dividing both sides by 5:

x = 6

So, the initial amount of milk in the second container is 6 liters. Since the first container initially contains three times more milk than the second container, the initial amount of milk in the first container is 3 times 6, which is 18 liters.

Therefore, there were 18 liters of milk in the first container and 6 liters of milk in the second container initially.

Answer

The initial amount of milk in each container was 18 liters in the first container and 6 liters in the second container.