Question

В крестьянском хозяйстве 20% земельных угодий отдали под пастбища,а на остальной площади посадили овощи.Отношение площади,отведённой под огурцы,к площади отведённой под томаты равно 3:7.Известно что под огурцы занято на 16 га меньше,чем под томаты.Какую площадь занимают угодия,отведённые под пастбища?

Answer 1

Пусть площадь, засеянная пшеницей - 5х, овощами - 3х, для пастбищ - 2х.Тогда:5х-3х=14;2х=14;х=7.Значит, площадь земельных угодий равна 10х=70 га.Ответ: 70 га.P.S. 2х взяли из того, что 5х+3х=80%, тогда х=10% и для пастбищ осталось 20%, т.е. 2х.

Answer 2

Solution:

To solve this problem, we can use the given information to set up a system of equations and then solve for the unknown values.

Let's denote: - x as the area allocated for tomatoes. - y as the area allocated for cucumbers.

Given: - The ratio of the area allocated for cucumbers to the area allocated for tomatoes is 3:7. - The area allocated for cucumbers is 16 hectares less than the area allocated for tomatoes.

We can express this information in the following equations: 1. y = (3/7)x (from the given ratio). 2. x - y = 16 (from the given difference).

Now, we can solve this system of equations to find the values of x and y.

Calculation:

Substituting the value of y from the first equation into the second equation: x - (3/7)x = 16 (4/7)x = 16 x = 16 * (7/4) x = 28

Substituting the value of x back into the first equation: y = (3/7) * 28 y = 12

So, the area allocated for tomatoes (x) is 28 hectares, and the area allocated for cucumbers (y) is 12 hectares.

Answer:

The total area allocated for pastures is 20% of the total land. To find this, we can calculate 20% of the total land area.

20% of the total land area = 20/100 * (28 + 12) hectares 20% of the total land area = 8 hectares

The area allocated for pastures is 8 hectares.