Question

В одной бочке в 3 раза больше бензина чем в другой. Если из первой бочки отлить 78л бензина, а во вторую добавить 42л, то бензина в бочках будет поровну сколько бензина в каждой бочке

Answer 1

Х - вторая бочка, 3х - первая.
уравнение:х+42=3х-78, 
-2х=-120, х=60(вторая бочка), в первой в 180, соотвественно.

Answer 2

Одна бочка = 3х
Вторая бочка = Х
Перелили их одной бочке = 3х - 78
Добавили во вторую бочку = х + 42
стало равно

3х - 78 = х + 42
3х - х = 42 + 78
2х = 120
х = 120 : 2
х = 60 было во второй
3 * 60 = 180 было в первой

Answer 3

Problem Analysis

We have two barrels, one containing three times more gasoline than the other. If we pour 78 liters of gasoline from the first barrel and add 42 liters to the second barrel, we need to determine how much gasoline will be in each barrel.

Solution

Let's assume the amount of gasoline in the first barrel is x liters. Since the second barrel contains three times less gasoline, it will have x/3 liters.

When we pour 78 liters of gasoline from the first barrel, the remaining amount will be x - 78 liters. After adding 42 liters to the second barrel, it will contain (x/3) + 42 liters.

Since the total amount of gasoline in both barrels remains the same, we can set up the following equation:

(x - 78) + ((x/3) + 42) = x + (x/3)

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

Calculation

(x - 78) + ((x/3) + 42) = x + (x/3)

Simplifying the equation:

x - 78 + (x/3) + 42 = x + (x/3)

Combining like terms:

x + (x/3) - x - (x/3) = 78 - 42

Simplifying further:

x/3 = 36

Multiplying both sides by 3:

x = 108

Therefore, the first barrel initially contained 108 liters of gasoline, and the second barrel contained 108/3 = 36 liters of gasoline.

Answer

After pouring 78 liters of gasoline from the first barrel and adding 42 liters to the second barrel, both barrels will have an equal amount of gasoline. Each barrel will contain 108 - 78 = 30 liters of gasoline.