Question

В парку росли берези, дуби і клени. Всього 180 дерев. Берез у 5 разів менше ніж дубів, а кленів стільки скільки берез і дубів разом. Скільки дерев кожного виду?

Answer 1

Предположим, что берез было x, тогда дубов было 3x а кленов было 4x. Так как всего деревьев было 736 составляем уравнение:
x+3x+4x=736
8x=736
x=92(берез)
Дубов: 3*92=276
Кленов: 4*92=368 или 736-92-276=368

Answer 2

Solution:

To solve this problem, we can set up a system of equations based on the given information and then solve for the number of each type of tree.

Let's denote: - the number of birch trees as B - the number of oak trees as O - the number of maple trees as M

We are given the following information: 1. There are a total of 180 trees: B + O + M = 180 2. The number of birch trees is 5 times less than the number of oak trees: B = 1/5 * O 3. The number of maple trees is equal to the sum of birch and oak trees: M = B + O

Now, let's solve for the number of each type of tree.

First, we can express the number of birch trees in terms of the number of oak trees: B = 1/5 * O

Then, we can substitute the value of B in terms of O into the equation for the total number of trees: (1/5 * O) + O + M = 180

We also know that: M = B + O

We can substitute the value of M in terms of B and O: M = (1/5 * O) + O

Now, we can solve for the number of each type of tree.

Calculation:

Let's solve the system of equations to find the values of B, O, and M.

Using the given information: - B + O + M = 180 - B = 1/5 * O - M = (1/5 * O) + O

We can solve for the values of B, O, and M.

Solution:

- B = 20 - O = 100 - M = 60

So, there are 20 birch trees, 100 oak trees, and 60 maple trees in the park.

Therefore, the number of each type of tree is as follows: - Birch trees: 20 - Oak trees: 100 - Maple trees: 60