Question

В фермерском хозяйстве 2/5 площади земли занимают пастбища, а 1/4 посевы бахчевых культур. Площадь , занимаемая пастбищеми, на 15 га больше, чем площать, занимая посевами бахчевых культур. Сколько гектаров земли в фермерском хозяйстве ?

Answer 1

2х\5-1х\4=15
8х-5х=15*20
3х=300
х=100 га

Answer 2

Х га-фермерское хозяйство
2х/5 га-пастбищах
4 га- посевы
2х/5-15=х/48х/20-5х/20
153х/20=153х=300х=100 га фермерское хозяйство

Answer 3

Calculating the Total Area of the Farm

To calculate the total area of the farm, we can use the information provided about the proportions of land dedicated to pasture and cultivation.

Let's denote: - Total area of the farm as T - Area occupied by pasture as P - Area occupied by cultivation as C

Given: - 2/5 of the land is pasture - 1/4 of the land is for cultivation - The area occupied by pasture is 15 hectares more than the area occupied by cultivation

We can set up the following equations: 1. P = (2/5)T 2. C = (1/4)T 3. P = C + 15

We can solve these equations to find the total area of the farm.

Solving for the Total Area of the Farm

First, let's express the area of pasture in terms of the total area: P = (2/5)T

Then, express the area of cultivation in terms of the total area: C = (1/4)T

We also know that the area occupied by pasture is 15 hectares more than the area occupied by cultivation: P = C + 15

Now, we can use these equations to solve for the total area of the farm.

Substitute the expressions for P and C into the equation P = C + 15: (2/5)T = (1/4)T + 15

Multiply through by the least common multiple of 5 and 4, which is 20, to clear the fractions: 8T = 5T + 300

Subtract 5T from both sides: 3T = 300

Divide by 3: T = 100

Answer

The total area of the farm is 100 hectares.