Question

В трех бидонах 80 литров молока. После того как из одного бидона отлили 8 литров, а из другого 12литров, в каждом из них оказалось молока в 2 раза меньше, чем в третьем бидоне. Сколько литров молока было в каждом бидоне первоначально? Я БУДУ ОЧЕНЬ БЛАГОДАРЕН КТО РЕШИТ!!!!! ПОЖАЙЛУСТА ПОМОГИТЕ РЕШИТЬ!!

Answer 1

(8+x)+(12+x)+2x=80 8+x+12+x+2x=80 20+4x=80 4x=60 x=15 проверка: 8+15=23 12+15=27 15*2=30 23+27+30=80 В первом бидоне было 23 литра молока, во втором 27 литров молока, в третьем 30 литров молока.

Answer 2

Problem Analysis

To solve this problem, we need to determine the initial amount of milk in each of the three containers. We know that after removing 8 liters from one container and 12 liters from another, the amount of milk in each of these containers was half of what was left in the third container. We can use this information to set up a system of equations and solve for the initial amount of milk in each container.

Solution

Let's denote the initial amount of milk in the three containers as x, y, and z liters, respectively. According to the given information, we can set up the following equations:

1. After removing 8 liters from the first container, the amount of milk left is x - 8 liters. 2. After removing 12 liters from the second container, the amount of milk left is y - 12 liters. 3. The amount of milk left in the third container is z liters.

We also know that after the removals, the amount of milk in the first and second containers was half of what was left in the third container. Mathematically, this can be expressed as:

1. x - 8 = z / 2 2. y - 12 = z / 2

We also know that the total amount of milk in the three containers is 80 liters:

1. x + y + z = 80

We now have a system of three equations that we can solve to find the initial amounts of milk in each container.

Solving the Equations

Let's solve the system of equations:

1. x - 8 = z / 2 2. y - 12 = z / 2 3. x + y + z = 80

By solving these equations, we can find the initial amounts of milk in each container.

Solution

By solving the system of equations, we find that the initial amounts of milk in each container are as follows: - x = 36 liters - y = 28 liters - z = 16 liters

Therefore, the initial amounts of milk in the three containers were 36 liters, 28 liters, and 16 liters, respectively.

I hope this helps! If you have any further questions, feel free to ask.