Question

На первом складе было в 3 раза больше угля,чем на втором.С первого склада взяли 20т угля,а во второй привезли 20т угля,теперь масса угля на втором складе состовляет 5/7 массы угля на первом складе.Сколько тонн угля было на каждом складе

Answer 1

(3x-20)/(x+20)=5/7
(3x-20)*7=(x+20)*5
21x-140=5x+100
21x-5x=100+140
16x=240
x=240/16
x=15 тонн второй склад
3*15=45 тонн первый склад

Answer 2

Problem Analysis

We are given the following information: - The amount of coal on the first warehouse is three times greater than the amount on the second warehouse. - 20 tons of coal were taken from the first warehouse. - 20 tons of coal were brought to the second warehouse. - The mass of coal on the second warehouse is 5/7 of the mass of coal on the first warehouse.

We need to determine the amount of coal on each warehouse.

Solution

Let's assume the amount of coal on the second warehouse is x tons. Since the amount of coal on the first warehouse is three times greater, the amount on the first warehouse is 3x tons.

According to the given information, 20 tons of coal were taken from the first warehouse, so the remaining amount on the first warehouse is 3x - 20 tons.

Additionally, 20 tons of coal were brought to the second warehouse, so the total amount on the second warehouse is x + 20 tons.

We are also told that the mass of coal on the second warehouse is 5/7 of the mass of coal on the first warehouse. This can be expressed as:

(x + 20) = (5/7)(3x - 20)

Now, let's solve this equation to find the values of x and 3x - 20.

Calculation

Expanding the equation:

7(x + 20) = 5(3x - 20)

7x + 140 = 15x - 100

Rearranging the equation:

8x = 240

Dividing both sides by 8:

x = 30

Substituting the value of x back into the equation to find the amount on the first warehouse:

3x - 20 = 3(30) - 20 = 90 - 20 = 70

Therefore, there were 70 tons of coal on the first warehouse and 30 tons of coal on the second warehouse.

Answer

There were 70 tons of coal on the first warehouse and 30 tons of coal on the second warehouse.