Question

В фермерском хозяйстве 12 комбайнов убирали урожай с трех полей площадью 15 га 30 га 45 га.Количество комбайнов распределили прямо пропорционально площади каждого поля.Сколько комбайнов убирали урожай с первого поля, со второго поля, с третьего поля?

Answer 1

15:30:45=1:2:3
15га - 1часть
30га  - 2 части
45га  - 3части
1+2+3=6 частей 
12(комб.) :6 = 2 (комб.)  - приходится на 1 часть
1 поле убирали 2 комбайна
2 поле убирали 2·2(комб.) = 4 комбайна
3 поле убирали 3· 2(комб.) = 6 комбайнов.
Ответ: 2комб., 4 комб., 6комб. 

Answer 2

Calculation of Combines for Each Field

To determine the number of combines that were used to harvest the crops from each field, we need to distribute the 12 combines proportionally based on the area of each field. The fields have areas of 15 hectares, 30 hectares, and 45 hectares.

Let's calculate the number of combines used for each field:

1. First Field (15 hectares): - The area of the first field is 15 hectares. - To calculate the number of combines for this field, we can set up a proportion: - Combines for the first field / Combines for all fields = Area of the first field / Total area of all fields - Combines for the first field / 12 = 15 / (15 + 30 + 45) - Solving this proportion, we find that the number of combines used for the first field is 2 combines.

2. Second Field (30 hectares): - The area of the second field is 30 hectares. - Using the same proportion as above, we can calculate the number of combines for this field: - Combines for the second field / 12 = 30 / (15 + 30 + 45) - Solving this proportion, we find that the number of combines used for the second field is 4 combines.

3. Third Field (45 hectares): - The area of the third field is 45 hectares. - Again, using the proportion, we can calculate the number of combines for this field: - Combines for the third field / 12 = 45 / (15 + 30 + 45) - Solving this proportion, we find that the number of combines used for the third field is 6 combines.

Therefore, the number of combines used to harvest the crops from each field is as follows: - First Field: 2 combines - Second Field: 4 combines - Third Field: 6 combines.

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