Question

На одному складі вугілля на 800 т більше, ніж на другому. Після того як з першого складу забрали 60% вугілля, а з другого 50%, на першому залишилося на 200 т більше, ніж на другому. Скільки вугілля залишилося на кожному складі? СРОЧНО!!!​

Answer 1

Ответ:

800; 600

Объяснение:

x - начальное количество угля в 1-м складе, т.

y - начальное количество угля во 2-м складе, т.

Система уравнений:

x-y=800

(x-0,6x)-(y-0,5y)=200

1) (x-0,6x)-(y-0,5y)=200

0,4x-0,5y=200                               |×10

4x-5y=2000

2) x-y=800                                      |×(-5)

-5x+5y=-4000

4x-5y-5x+5y=2000-4000

-x=-2000

x=2000 т - начальное количество угля в 1-м складе.

2000-y=800

y=2000-800=1200 т - начальное количество угля во 2-м складе.

0,5·1200=600 т угля осталось во 2-м складе.

600+200=800 т угля осталось в 1-м складе.

Answer 2

Problem Analysis

We have two coal warehouses, and the first warehouse has 800 tons more coal than the second warehouse. After taking 60% of the coal from the first warehouse and 50% from the second warehouse, there are 200 tons more coal left in the first warehouse than in the second warehouse. We need to find out how much coal is left in each warehouse.

Solution

Let's assume the amount of coal in the second warehouse is x tons. Since the first warehouse has 800 tons more coal than the second warehouse, the amount of coal in the first warehouse is (x + 800) tons.

After taking 60% of the coal from the first warehouse, there will be 40% (or 0.4) of the coal left. Similarly, after taking 50% of the coal from the second warehouse, there will be 50% (or 0.5) of the coal left.

According to the problem, the amount of coal left in the first warehouse is 200 tons more than the amount of coal left in the second warehouse. So we can set up the following equation:

0.4 * (x + 800) = 0.5 * x + 200

Now, let's solve this equation to find the value of x, which represents the amount of coal in the second warehouse.

0.4x + 320 = 0.5x + 200 0.5x - 0.4x = 320 - 200 0.1x = 120 x = 1200

Therefore, the amount of coal in the second warehouse is 1200 tons.

To find the amount of coal in the first warehouse, we can substitute the value of x into the equation:

Amount of coal in the first warehouse = x + 800 = 1200 + 800 = 2000 tons.

So, there are 2000 tons of coal left in the first warehouse and 1200 tons of coal left in the second warehouse.

Answer

There are 2000 tons of coal left in the first warehouse and 1200 tons of coal left in the second warehouse.