Question

В двух резервуарах было 120 т нефти.Когда из одного резервуара взяли 35 т 600 кг нефти а из другого-46 т 400 кг нефти в обоих резервуарах осталось поровну.Сколько нефти в было каждом резервуаре первоначально.

Answer 1

Переведем все в килограммы:
120 т=120000 кг
35 т 600 кг = 35600 кг
46 т 400 кг = 46400 кг
Из обоих резервуаров взяли 35600+46400=82000 кг нефти.
Остаток нефти в обоих резервуарах 120000-82000=38000 кг.
Так как нефти осталось поровну то в каждом резервуаре осталось по 38000/2=19000 кг.
Первоначально в первом резервуаре было 19000+35600=54600 кг или 54 т 600 кг.
Первоначально во втором резервуаре было 19000+46400=65400 кг или 65 т 400 кг.

Answer 2

Initial Amount of Oil in Each Tank

To solve this problem, we can use a system of linear equations. Let's denote the initial amount of oil in the first tank as x and in the second tank as y. We are given the following information: 1. The total amount of oil in both tanks is 120 tons. 2. 35 tons 600 kg of oil were taken from the first tank, and 46 tons 400 kg of oil were taken from the second tank. 3. After the oil was taken from both tanks, the remaining amount of oil in each tank was the same.

Setting Up the Equations

We can set up the following system of equations based on the given information: 1. x + y = 120 (total amount of oil in both tanks) 2. (x - 35.6) - (y - 46.4) = 0 (remaining amount of oil in each tank is the same)

Solving the Equations

Let's solve the system of equations to find the initial amount of oil in each tank.

Solution

Using the system of equations, we can solve for x and y: 1. x + y = 120 2. x - 35.6 = y - 46.4

Solving these equations, we find: - x = 80 tons (initial amount of oil in the first tank) - y = 40 tons (initial amount of oil in the second tank)

Therefore, the initial amount of oil in the first tank was 80 tons, and in the second tank was 40 tons.