Question

На двух полках было одинаковое количество книг. После того, как с одной полки переложили на другую три книги, количество книг на одной полке стало в четыре раза больше, чем ну другой. Сколько всего книг на двух полках. Помогите пожалуйста с этим вопросом

Answer 1

Ответ:

10 книг

Объяснение:

Решаем через уравнение

Пусть х+3 - количество книг на одной полке

Тогда х-3 - количество книг на другой полке

4(х-3)=х+3

4х-12=х+3

4х-х=3+12

3х=15

х=15/3

х=5 (шт.)

5+3=8 (шт.) - книг на одной полке

5-3=2 (шт.) - книг на другой полке

8+2=10 (шт.) - на обоих полках

Answer 2

Problem Analysis

We are given that there were an equal number of books on two shelves. After transferring three books from one shelf to the other, the number of books on one shelf became four times greater than the number on the other shelf. We need to determine the total number of books on both shelves.

Solution

Let's assume the initial number of books on each shelf is x. After transferring three books from one shelf to the other, the number of books on one shelf becomes x + 3, and the number of books on the other shelf becomes x - 3.

According to the problem, the number of books on one shelf is four times greater than the number on the other shelf. Mathematically, we can represent this as:

x + 3 = 4(x - 3)

Now, let's solve this equation to find the value of x.

x + 3 = 4x - 12

Simplifying the equation:

3x = 15

Dividing both sides of the equation by 3:

x = 5

Therefore, the initial number of books on each shelf is 5.

To find the total number of books on both shelves, we can add the number of books on each shelf:

Total number of books = x + x = 5 + 5 = 10

So, there are a total of 10 books on both shelves.

Answer

There are a total of 10 books on both shelves.