Question

Помогите пожалуйста В двух бочках вместе 882 л бензина. Когда из первой бочки взяли 25 бензина, а из второй бочки взяли 38 бензина, то в обеих бочках бензина стало поровну. Сколько литров бензина было в каждой бочке первоначально?​

Answer 1

Ответ:

434.5 - было в первой бочке

447.5 - было во второй бочке

Пошаговое объяснение:

(882-(25+38))/2=409.5

409.5+25=434.5 - было в первой бочке

409.5+38=447.5 - было во второй бочке

Answer 2

Пошаговое объяснение:

1)25+38=63 л

2)882-63=819 л

3)819÷2=409,5 л

4)409,5+25=434,5 л у 1 бочке

5)409,5+38=447,5 л у 2 бочке

Answer 3

Problem Analysis

We are given two barrels containing a total of 882 liters of gasoline. After taking 25 liters from the first barrel and 38 liters from the second barrel, the amount of gasoline in both barrels became equal. We need to determine the initial amount of gasoline in each barrel.

Solution

Let's assume that the initial amount of gasoline in the first barrel is x liters. Therefore, the initial amount of gasoline in the second barrel would be 882 - x liters.

After taking 25 liters from the first barrel, the amount of gasoline remaining in the first barrel would be x - 25 liters. Similarly, after taking 38 liters from the second barrel, the amount of gasoline remaining in the second barrel would be (882 - x) - 38 liters.

According to the problem, the remaining gasoline in both barrels is equal. Therefore, we can set up the following equation:

x - 25 = (882 - x) - 38

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

x - 25 = 882 - x - 38

Simplifying the equation:

2x = 882 - 38 + 25

2x = 869

x = 869 / 2

x = 434.5

Since we cannot have a fraction of a liter of gasoline, we can conclude that the initial amount of gasoline in the first barrel was 434 liters. Therefore, the initial amount of gasoline in the second barrel would be 882 - 434 = 448 liters.

Answer

The initial amount of gasoline in each barrel was 434 liters and 448 liters respectively.

Verification

Let's verify our answer using the given information. After taking 25 liters from the first barrel, the remaining gasoline would be 434 - 25 = 409 liters. After taking 38 liters from the second barrel, the remaining gasoline would be 448 - 38 = 410 liters. As we can see, the remaining gasoline in both barrels is equal, which confirms that our answer is correct.