Question

В двух бочках вместе 425 л бензина. Когда из первой бочки взяли 13 бензина, а из второй бочки взяли 58 бензина, то в обеих бочках бензина стало поровну. Сколько литров бензина было в каждой бочке первоначально?

Answer 1

1) (425-13-58):2=177(л.)-стало в каждой бочке
2) 177+13=190(л.)- было в первой бочке
3) 177+58=235(л.)- было во второй бочке
Ответ: 190 литров и 235 литров

Answer 2

Problem Analysis

We are given two barrels containing a total of 425 liters of gasoline. After taking 13 liters from the first barrel and 58 liters from the second barrel, the remaining gasoline is distributed equally between the two barrels. 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 and in the second barrel is y liters.

According to the given information, we can set up the following equations:

Equation 1: x - 13 = y + 58 (After taking 13 liters from the first barrel and 58 liters from the second barrel)

Equation 2: (x - 13) + (y + 58) = 425 (The remaining gasoline is distributed equally between the two barrels)

We can solve this system of equations to find the values of x and y.

Solving the Equations

Let's solve the system of equations using substitution:

From Equation 1, we can rewrite it as x = y + 71.

Substituting this value of x into Equation 2, we get:

(y + 71 - 13) + (y + 58) = 425

Simplifying the equation:

2y + 116 = 425

2y = 425 - 116

2y = 309

y = 309 / 2

y = 154.5

Substituting the value of y back into Equation 1, we get:

x = 154.5 + 71

x = 225.5

Answer

The initial amount of gasoline in the first barrel was 225.5 liters and in the second barrel was 154.5 liters.

Please note that the given problem involves a fractional value for the amount of gasoline in the second barrel. This could be due to rounding errors or an approximation in the problem statement.