Question

Решите СРОЧНО!! Тракторная бригада вспахала поле площадью 900 га.Первого дня вспахали в 2 раза больше,чем во второй, а третьего дня в 3 раза меньше чем во второй. Какую площадь бригада вспахивала каждый день.

Answer 1

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Answer 2

Problem Analysis

We are given that a tractor brigade plowed a field with an area of 900 hectares (ha). On the first day, they plowed twice as much as on the second day, and on the third day, they plowed three times less than on the second day. We need to determine the area plowed by the brigade each day.

Solution

Let's denote the area plowed on the second day as x hectares.

According to the given information: - On the first day, they plowed twice as much as on the second day, so the area plowed on the first day is 2x hectares. - On the third day, they plowed three times less than on the second day, so the area plowed on the third day is x/3 hectares.

To find the total area plowed by the brigade each day, we can add up the areas for each day:

Total area plowed on the first day = 2x hectares Total area plowed on the second day = x hectares Total area plowed on the third day = x/3 hectares

The sum of these three areas should be equal to the total area of the field, which is 900 hectares:

2x + x + x/3 = 900

To solve this equation, we can simplify it by multiplying through by 3 to eliminate the fraction:

6x + 3x + x = 2700

10x = 2700

Dividing both sides by 10, we find:

x = 270

Therefore, the area plowed on the second day is 270 hectares.

Now, we can calculate the areas plowed on each day:

Area plowed on the first day = 2x = 2 * 270 = 540 hectares Area plowed on the second day = x = 270 hectares Area plowed on the third day = x/3 = 270/3 = 90 hectares

So, the tractor brigade plowed 540 hectares on the first day, 270 hectares on the second day, and 90 hectares on the third day.

Answer

The tractor brigade plowed the following areas each day: - First day: 540 hectares - Second day: 270 hectares - Third day: 90 hectares