Question

В одной цистерне в 4 раза меньше нефти , чем во второй . После того как в первую Цистерну добавили 20 т нефти , а из второй откачали 19 т, нефти в обеих цистернах стало поровну.Сколько тонн нефти было в каждой цистерне первоначально? Заранее огромное спасибо)

Answer 1

Пусть в первой цистерне было х т,тогда 
во второй было 4х
после того как нефть перекачали.получилось
в первой цистерне х+20 
во второй цистерне 4х-19
составим уравнение
4х-19=х+20
4х-х=20+19
3х=39
х=39:3
х=13 т было в первой цистерне
13*4=52 т было во второй цистерне
проверка
13+20=52-19
33=33 получилось равное количество

Answer 2

Problem Analysis

We are given two tanks, and initially, the first tank contains four times less oil than the second tank. After adding 20 tons of oil to the first tank and removing 19 tons of oil from the second tank, the amount of oil in both tanks becomes equal. We need to find the initial amount of oil in each tank.

Let's assume the initial amount of oil in the first tank is x tons. Since the second tank contains four times more oil than the first tank, the initial amount of oil in the second tank is 4x tons.

After adding 20 tons of oil to the first tank, the amount of oil in the first tank becomes x + 20 tons. After removing 19 tons of oil from the second tank, the amount of oil in the second tank becomes 4x - 19 tons.

According to the problem, the amount of oil in both tanks becomes equal. Therefore, we can set up the following equation:

x + 20 = 4x - 19

Let's solve this equation to find the initial amount of oil in each tank.

Solving the Equation

To solve the equation x + 20 = 4x - 19, we can follow these steps:

1. Move all terms containing x to one side of the equation and all constant terms to the other side: x - 4x = -19 - 20

2. Simplify the equation: -3x = -39

3. Divide both sides of the equation by -3 to solve for x: x = -39 / -3

4. Calculate the value of x: x = 13

Now that we have found the value of x, we can substitute it back into the equation to find the initial amount of oil in each tank.

The initial amount of oil in the first tank is x = 13 tons, and the initial amount of oil in the second tank is 4x = 4 * 13 = 52 tons.

Therefore, the initial amount of oil in the first tank was 13 tons, and the initial amount of oil in the second tank was 52 tons.

Answer

The initial amount of oil in each tank was: - First tank: 13 tons - Second tank: 52 tons