Question

В библиотеке на верхней полке стеллажа стояло на 12 учебников меньше,чем на нижней.Коля заметил, что на верхней полке в 4 раза меньше учебников, чем на нижней полке. Сколько учебников стояло на каждой полке? схема к задаче

Answer 1

Пусть х количество книжек на верхней  полке
тогда на нижней 4х

4х-х=12
3х=12
х=4 книжки стояло на верхней полке
4х=4*4=16 книжек стояло на нижней полке

Answer 2

Problem Statement

В библиотеке на верхней полке стеллажа стояло на 12 учебников меньше, чем на нижней. Коля заметил, что на верхней полке в 4 раза меньше учебников, чем на нижней полке. Сколько учебников стояло на каждой полке?

Solution

Let's assume the number of textbooks on the bottom shelf is x. According to the problem statement, the number of textbooks on the top shelf is 12 less than the number on the bottom shelf, so the number of textbooks on the top shelf is x - 12.

The problem also states that the number of textbooks on the top shelf is 4 times less than the number on the bottom shelf. This means that the number of textbooks on the top shelf is 1/4 of the number on the bottom shelf.

We can set up the following equation to solve for the number of textbooks on the bottom shelf:

x - 12 = (1/4)x

To solve this equation, we can multiply both sides by 4 to eliminate the fraction:

4(x - 12) = x

Expanding the equation:

4x - 48 = x

Now, we can subtract x from both sides:

4x - x = 48

Simplifying:

3x = 48

Finally, we can divide both sides by 3 to solve for x:

x = 48 / 3 = 16

Therefore, there were 16 textbooks on the bottom shelf and 16 - 12 = 4 textbooks on the top shelf.

So, there were 16 textbooks on the bottom shelf and 4 textbooks on the top shelf.

Diagram

Here is a diagram to help visualize the problem:

Bottom Shelf: |----------------|
Top Shelf:    |----|

The bottom shelf has 16 textbooks, while the top shelf has 4 textbooks.