Question

Решительно задачу уравнением"В первом бидоне в 2 раза меньше молока , чем во втором.После того,как в первый бидон долили12 литров молока,а из второго взяли 6 литров,молока в бидонах стало поровну.Сколько литров молока было в каждом бидоне первоначально?

Answer 1

Пусть в первом бидоне х литров, тогда во втором 2х литров.
х+12=2х-6
2х-х= 12+6
х=18( литров)- в первом бидоне
18×2=36(литров)- во втором бидоне.

Answer 2

Problem Analysis

To solve this problem, we need to find the initial amount of milk in each container. We are given that the amount of milk in the first container is half the amount in the second container. After pouring 12 liters of milk into the first container and taking out 6 liters from the second container, the amount of milk in both containers becomes equal. We need to determine 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. Since the amount of milk in the first container is half the amount in the second container, the initial amount of milk in the first container would be x/2 liters.

After pouring 12 liters of milk into the first container, the amount of milk in the first container becomes (x/2) + 12 liters. After taking out 6 liters from the second container, the amount of milk in the second container becomes x - 6 liters.

According to the problem, the amount of milk in both containers becomes equal. Therefore, we can set up the following equation:

(x/2) + 12 = x - 6

Now, let's solve this equation to find the value of x.

(x/2) + 12 = x - 6

To eliminate the fraction, we can multiply both sides of the equation by 2:

x + 24 = 2x - 12

Next, let's isolate x by subtracting x from both sides of the equation:

24 = x - 12

Now, let's isolate x by adding 12 to both sides of the equation:

36 = x

Therefore, the initial amount of milk in the second container is 36 liters. Since the amount of milk in the first container is half the amount in the second container, the initial amount of milk in the first container would be 36/2 = 18 liters.

Answer

The initial amount of milk in the first container was 18 liters, and the initial amount of milk in the second container was 36 liters.

Note: The solution provided above is based on the information given in the problem statement.