Question

В одной бочке в 3 раза больше бензина чем в другой если из первой бочки отлить 78,4 литр бензина а во вторую добавить 42,8 литра ,то в бочках станет бензина поровну .Сколько литров бензина в каждой бочке?? РЕШИТЕ УРАВНЕНИЕМ

Answer 1

Пусть x литров бензина в I бочке, тогда y литров бензина во II бочке.
Система: x=3y; x-78,4=y+42,8 =>
3y-78,4=y+42,8
2y=121,2|:2 =>
y=60,6 литров.
x=3y=3*60,6=181,8 литров.
Ответ: 181,8 литров в I бочке, 60,6 литров во II бочке.

Answer 2

Х - количество бензина во второй бочке первоначально , из условия задачи имеем
3х- количество бензина в первой бочке
3х - 78,4 = х  + 42,8       3х -х = 78,4 +42,8     2х = 121,2    х = 60,6 л - количество бензина во второй бочке  , тогда в первой бочке  60,6 * 3 = 181,8 л

Answer 3

Solving the Equation

To solve the problem, we can use algebraic equations. Let's denote the amount of gasoline in the first barrel as x liters and the amount in the second barrel as y liters.

According to the given information, the amount of gasoline in the first barrel is three times the amount in the second barrel. Additionally, if 78.4 liters of gasoline are poured out of the first barrel and 42.8 liters are added to the second barrel, the two barrels will then contain an equal amount of gasoline.

We can represent this information in the following equations:

1. x = 3y (The amount of gasoline in the first barrel is three times the amount in the second barrel) 2. (x - 78.4) = (y + 42.8) (After pouring 78.4 liters out of the first barrel and adding 42.8 liters to the second barrel, the amounts become equal)

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

Solving the Equations

Let's solve the equations step by step.

From equation 1, we have x = 3y.

Substitute this value of x into equation 2:

(3y - 78.4) = (y + 42.8)

Solving for y: 3y - 78.4 = y + 42.8 3y - y = 42.8 + 78.4 2y = 121.2 y = 60.6

Now that we have the value of y, we can find the value of x using the equation x = 3y: x = 3 * 60.6 x = 181.8

Conclusion

Therefore, the first barrel initially contains 181.8 liters of gasoline, and the second barrel initially contains 60.6 liters of gasoline.