Question

составив уравнение решите задачу в первом бидоне в 5 раз больше молока чем во втором после того как из первого бидона выпили 5 литров а во второй налили 7 литров то в обоих бидонах молока стало поровну сколько литров молока было в двух бидонах первоночально

Answer 1

                         Было              Стало

1-й бидон           5х л               (5х - 5) л

2-й бидон          х л                  (х + 7) л

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Уравнение:

5х - 5 = х + 7

5х - х = 7 + 5

4х = 12

х = 12 : 4

х = 3 (л) - было во втором бидоне

5х = 5 · 3 = 15 (л) - было в первом бидоне

3 + 15 = 18 (л) - было в двух бидонах первоначально

Ответ: 18 л.

Answer 2

Problem Analysis

To solve this problem, we need to set up an equation based on the given information and then solve for the initial amount of milk in both containers. Let's break down the problem step by step:

1. The amount of milk in the first container is 5 times greater than the amount in the second container. 2. After 5 liters are poured out of the first container and 7 liters are poured into the second container, the amount of milk in both containers becomes equal.

Let's represent the initial amount of milk in the second container as 'x'. According to the first condition, the initial amount of milk in the first container would be '5x'.

Now, let's set up an equation based on the second condition:

Amount of milk in the first container after pouring out 5 liters = Amount of milk in the second container after pouring in 7 liters

(5x - 5) = (x + 7)

We can now solve this equation to find the initial amount of milk in both containers.

Solving the Equation

Let's solve the equation step by step:

5x - 5 = x + 7

Subtract 'x' from both sides:

5x - x - 5 = x - x + 7

4x - 5 = 7

Add 5 to both sides:

4x - 5 + 5 = 7 + 5

4x = 12

Divide both sides by 4:

4x/4 = 12/4

x = 3

So, the initial amount of milk in the second container is 3 liters.

Since the amount of milk in the first container is 5 times greater, the initial amount of milk in the first container is 5 * 3 = 15 liters.

Therefore, the initial amount of milk in both containers was 15 liters in the first container and 3 liters in the second container.

Answer

The initial amount of milk in the first container was 15 liters and in the second container was 3 liters.