Question

Фермер засеял поле площадью 6 га кормовыми травами: тимофеевкой, костром, пыреем и клевером. Тимофеевкой он занят 3/10 поля, костром в 2 раза меньше, чем тимофеевкой, клевером на 120 а больше, чем тимофеевкой. Какую площадь он засеял пыреем? Какая это часть поля?

Answer 1

Всего - 6 га

Тимофеевкой - $\frac{3}{10}$ часть всего поля

Костром - ? а, в 2 раза <, чем тимофеевкой (стрелка от костра к тимофеевке)

Клевером - ? а, на 120 а >, чем тимофеевкой (стрелка от клевера к тимофеевке)

Пыреем - ? а.

Решение:

1 га=100 а ⇒ 6 га=600 а

1) $600\cdot\frac{3}{10}=\frac{1800}{10}=180$ (а) - засеяно тимофеевкой.

2) 180:2=90 (а) - засеяно костром.

3) 180+120=300 (а) - засеяно клевером.

4) 180+90+300=570 (а) - засеяно тимофеевкой, костром, и клевером (вместе).

5) 600-570=30 (а) - засеяно пыреем.

6) $30:600=\frac{30}{600}=\frac{1}{20}$ часть.

Ответ. 30 а засеяно пыреем, что составляет 1/20 часть всего поля

Answer 2

6га=600а

600*3/10=180а-засеяно тимофеевкой

180:2=90а-засеяно костром

120+180=300а-засеяно клевером

600-(300+90+180)=600-570=30а-засеяно пыреем

30:600=3/60=1/20часть поля засеяна пыреем

Answer 3

Calculation of the Area Seeded with Pyreem

To determine the area seeded with pyreem, we need to analyze the given information about the different types of fodder crops and their respective areas.

Let's break down the information provided:

- The farmer sowed a field with an area of 6 hectares (6 га) with four types of fodder crops: timothy grass (тимофеевка), koster (костром), pyreem (пырей), and clover (клевер). - The area occupied by timothy grass is 3/10 of the field. - The area occupied by koster is 2 times smaller than the area occupied by timothy grass. - The area occupied by clover is 120 hectares larger than the area occupied by timothy grass.

To find the area seeded with pyreem, we need to calculate the areas occupied by the other three crops and subtract them from the total field area.

Let's calculate the areas:

1. Area occupied by timothy grass (тимофеевка): - The area occupied by timothy grass is 3/10 of the field. - Therefore, the area occupied by timothy grass is (3/10) * 6 hectares = 1.8 hectares.

2. Area occupied by koster (костром): - The area occupied by koster is 2 times smaller than the area occupied by timothy grass. - Therefore, the area occupied by koster is 1/2 * 1.8 hectares = 0.9 hectares.

3. Area occupied by clover (клевер): - The area occupied by clover is 120 hectares larger than the area occupied by timothy grass. - Therefore, the area occupied by clover is 1.8 hectares + 120 hectares = 121.8 hectares.

Now, let's calculate the area seeded with pyreem:

- Total field area: 6 hectares - Area occupied by timothy grass: 1.8 hectares - Area occupied by koster: 0.9 hectares - Area occupied by clover: 121.8 hectares

To find the area seeded with pyreem, we subtract the areas occupied by the other three crops from the total field area:

Area seeded with pyreem = Total field area - (Area occupied by timothy grass + Area occupied by koster + Area occupied by clover) Area seeded with pyreem = 6 hectares - (1.8 hectares + 0.9 hectares + 121.8 hectares)

Calculating the above expression, we find that the area seeded with pyreem is approximately 1.5 hectares.

Calculation of the Proportion of the Field Seeded with Pyreem

To find the proportion of the field seeded with pyreem, we need to calculate the ratio of the area seeded with pyreem to the total field area.

Let's calculate the proportion:

- Area seeded with pyreem: 1.5 hectares - Total field area: 6 hectares

Proportion of the field seeded with pyreem = (Area seeded with pyreem / Total field area) * 100% Proportion of the field seeded with pyreem = (1.5 hectares / 6 hectares) * 100%

Calculating the above expression, we find that the proportion of the field seeded with pyreem is approximately 25%.

Therefore, the farmer has seeded approximately 1.5 hectares of the field with pyreem, which represents approximately 25% of the total field area.