Question

Решите задачу пожжжВ 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?

Answer 1

В первой цистерне х литров нефти, во второй 4х

х + 20 = 4х - 19

4х - х = 20 + 19

3х = 39

х = 13 (л) - нефти было в первой цистерне первоначально

4 * 13 = 52 (л) - нефти было во второй цистерне первоначально

Проверка: 13 + 20 = 4 * 13 - 19;   33 = 52-19 = 33

Answer 2

Problem Analysis

We are given two oil tanks, and the amount of oil in the first tank is four times less than the amount in the second tank. After adding 20 tons of oil to the first tank and removing 19 tons 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.

Solution

Let's assume the initial amount of oil in the second tank is x tons. According to the problem, the amount of oil in the first tank is four times less, so it would be x/4 tons.

After adding 20 tons of oil to the first tank, the amount of oil becomes (x/4) + 20 tons. Similarly, after removing 19 tons from the second tank, the amount of oil becomes x - 19 tons.

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

(x/4) + 20 = x - 19

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

(x/4) + 20 = x - 19

Multiply both sides of the equation by 4 to eliminate the fraction:

x + 80 = 4x - 76

Simplify the equation:

3x = 156

Divide both sides of the equation by 3:

x = 52

So, the initial amount of oil in the second tank is 52 tons. Since the amount of oil in the first tank is four times less, the initial amount of oil in the first tank would be 52/4 = 13 tons.

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

Answer

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.