Question

Вдоль двух улиц посадили деревья для озеленение. Количество деревьев на первой улице 1,4 раза больше, чем на второй. Когда с первой улицы пересодили 13 деревьев на вторую, то количество деревьев на обеих улицах стало ровным . Сколько деревьев было посажено на каждой улице первоночально

Answer 1

Пусть деревьев на 2 улице х тогда на первой 1,4х  Разница между количеством деревьев равна 1,4х-13=х+13
0,4х=26
х=65-деревьев на 2 улице
1,4*65=91 дерево на 1 улице

 

Answer 2

Problem Analysis

We are given two streets where trees were planted for greening purposes. The number of trees on the first street is 1.4 times greater than the number of trees on the second street. When 13 trees were moved from the first street to the second street, the total number of trees on both streets became equal. We need to determine the initial number of trees on each street.

Solution

Let's assume the initial number of trees on the second street is x. Then, the initial number of trees on the first street would be 1.4x, as stated in the problem.

When 13 trees were moved from the first street to the second street, the number of trees on the first street decreased to 1.4x - 13, and the number of trees on the second street increased to x + 13.

According to the problem, the total number of trees on both streets became equal after this transfer. Therefore, we can set up the following equation:

1.4x - 13 + x + 13 = 1.4x + x

Simplifying the equation:

2.4x = 2.4x

This equation is true for any value of x. Therefore, we can conclude that the initial number of trees on each street can be any value, as long as the number of trees on the first street is 1.4 times greater than the number of trees on the second street.

In conclusion, the initial number of trees on each street can vary, as long as the number of trees on the first street is 1.4 times greater than the number of trees on the second street.

Note: The problem does not provide enough information to determine the specific initial number of trees on each street.

Example

Let's consider an example to illustrate the solution. Suppose the initial number of trees on the second street is 10. Then, the initial number of trees on the first street would be 1.4 times greater, which is 14.

After moving 13 trees from the first street to the second street, the number of trees on the first street would be 14 - 13 = 1, and the number of trees on the second street would be 10 + 13 = 23. The total number of trees on both streets is now equal, with 1 tree on each street.

This example demonstrates that the initial number of trees on each street can vary, as long as the number of trees on the first street is 1.4 times greater than the number of trees on the second street.