Question

Первоначально на овощной базе хранилось 60 тонн картофеля и 40 тонн капусты. С базы каждый день вывозили по грузовику овощей. Общая масса овощей в грузовике была одной и той же, но картофеля вывозили в 3,5 раза больше, чем капусты. Через 8 дней картофеля и капусты на базе стало поровну. Сколько тонн овощей вывозили с базы ежедневно?

Answer 1

Ответ:

4,5 тонны

Объяснение:

каждый день одну тонну капусты и три с половиной тонны картофеля

Answer 2

Problem Analysis

We are given that initially, there were 60 tons of potatoes and 40 tons of cabbage stored on a vegetable base. Each day, vegetables were transported from the base using a truck. The total weight of vegetables in the truck was the same every day, but the amount of potatoes transported was 3.5 times more than the amount of cabbage. After 8 days, the amount of potatoes and cabbage on the base became equal. We need to determine how many tons of vegetables were transported from the base daily.

Solution

Let's assume that the amount of cabbage transported daily is x tons. Since the amount of potatoes transported is 3.5 times more than the amount of cabbage, the amount of potatoes transported daily would be 3.5x tons.

After 8 days, the amount of potatoes and cabbage on the base became equal. This means that the total weight of potatoes and cabbage on the base after 8 days is equal to the initial total weight of potatoes and cabbage.

The initial total weight of potatoes and cabbage is 60 tons + 40 tons = 100 tons.

After 8 days, the total weight of potatoes and cabbage on the base is 100 tons.

The amount of potatoes remaining on the base after 8 days is 60 tons - (3.5x * 8) tons.

The amount of cabbage remaining on the base after 8 days is 40 tons - (x * 8) tons.

Since the total weight of potatoes and cabbage on the base after 8 days is equal to 100 tons, we can write the following equation:

(60 - 3.5x * 8) + (40 - x * 8) = 100

Simplifying the equation:

60 - 28x + 40 - 8x = 100

Combining like terms:

100 - 36x = 100

Subtracting 100 from both sides:

-36x = 0

Dividing both sides by -36:

x = 0

Since x = 0, it means that no cabbage was transported daily from the base. Therefore, the amount of potatoes transported daily would be 3.5 * 0 = 0 tons.

So, the answer is that no tons of vegetables were transported from the base daily.

Please let me know if I can help you with anything else.