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

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 2

Calculation of the Area Seeded with Different Types of Grass

To determine the area seeded with pyrethrum, we need to analyze the given information about the different types of grass and their respective proportions on the field.

Let's break down the information provided:

- The farmer seeded the field with four types of forage grass: timothy, koster, pyrethrum, and clover. - The area occupied by timothy is 3/10 of the field. - The area occupied by koster is 2 times less than timothy. - The area occupied by clover is 120 units more than timothy.

To find the area seeded with pyrethrum, we need to calculate the areas occupied by the other three types of grass and subtract them from the total area of the field.

Let's calculate the areas occupied by each type of grass:

1. Timothy: - Area occupied by timothy = 3/10 of the field. - Area occupied by timothy = (3/10) * 6 ha (since the field is 6 hectares).

2. Koster: - Area occupied by koster = 2 times less than timothy. - Area occupied by koster = (1/2) * (3/10) * 6 ha.

3. Clover: - Area occupied by clover = 120 units more than timothy. - Area occupied by clover = [(3/10) * 6 ha] + 120 units.

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

- Area seeded with pyrethrum = Total area of the field - (Area occupied by timothy + Area occupied by koster + Area occupied by clover).

Calculation:

Given: - Total area of the field = 6 hectares. - Area occupied by timothy = (3/10) * 6 ha. - Area occupied by koster = (1/2) * (3/10) * 6 ha. - Area occupied by clover = [(3/10) * 6 ha] + 120 units.

Let's calculate the area seeded with pyrethrum:

Area seeded with pyrethrum = 6 ha - [(3/10) * 6 ha + (1/2) * (3/10) * 6 ha + [(3/10) * 6 ha + 120 units]].

Simplifying the equation:

Area seeded with pyrethrum = 6 ha - [(3/10) * 6 ha + (3/20) * 6 ha + [(3/10) * 6 ha + 120 units]].

Area seeded with pyrethrum = 6 ha - [(18/50) * 6 ha + (18/100) * 6 ha + [(18/50) * 6 ha + 120 units]].

Area seeded with pyrethrum = 6 ha - [(36/100) * 6 ha + (18/100) * 6 ha + [(36/100) * 6 ha + 120 units]].

Area seeded with pyrethrum = 6 ha - [(54/100) * 6 ha + [(36/100) * 6 ha + 120 units]].

Area seeded with pyrethrum = 6 ha - [(54/100) * 6 ha + [(54/100) * 6 ha + 120 units]].

Area seeded with pyrethrum = 6 ha - [0.54 * 6 ha + 0.54 * 6 ha + 120 units].

Area seeded with pyrethrum = 6 ha - [1.08 * 6 ha + 120 units].

Area seeded with pyrethrum = 6 ha - [6.48 ha + 120 units].

Area seeded with pyrethrum = 6 ha - 6.48 ha - 120 units.

Area seeded with pyrethrum = -0.48 ha - 120 units.

Since the resulting area is negative, it implies that the area seeded with pyrethrum is zero. Therefore, the farmer did not seed any area with pyrethrum.

Calculation of the Proportion of the Field Seeded with Pyrethrum:

To calculate the proportion of the field seeded with pyrethrum, we need to divide the area seeded with pyrethrum by the total area of the field.

Let's calculate the proportion:

Proportion of the field seeded with pyrethrum = (Area seeded with pyrethrum / Total area of the field) * 100%.

Since the area seeded with pyrethrum is zero, the proportion of the field seeded with pyrethrum is also zero.

Therefore, the farmer did not seed any area with pyrethrum, and the proportion of the field seeded with pyrethrum is zero.