Question

На трёх полках 32 книги. Число книг на второй полке составляет 35% числа книг, стоящих на первой. На третьей полке пять седьмых книг, стоящих на второй. Сколько книг на каждой полке

Answer 1

Ответ 1 полка равно 20 книга вторая полка равно семьи книга ис следовательно на 3 полке равняется 5 книга

Answer 2

Problem Analysis

We are given that there are 32 books on three shelves. The number of books on the second shelf is 35% of the number of books on the first shelf. Additionally, on the third shelf, there are five-sevenths of the books on the second shelf. We need to determine the number of books on each shelf.

Solution

Let's denote the number of books on the first shelf as x.

According to the given information, the number of books on the second shelf is 35% of the number of books on the first shelf. Therefore, the number of books on the second shelf is 0.35 times x.

On the third shelf, there are five-sevenths of the books on the second shelf. Therefore, the number of books on the third shelf is (5/7) times the number of books on the second shelf.

To find the number of books on each shelf, we can use the following equations:

1. Number of books on the first shelf: x 2. Number of books on the second shelf: 0.35 x 3. Number of books on the third shelf: (5/7) * (0.35 x)

Now, let's solve these equations to find the values of x, 0.35 x, and (5/7) * (0.35 x).

Calculation

Let's solve the equations:

1. Number of books on the first shelf: x 2. Number of books on the second shelf: 0.35 x 3. Number of books on the third shelf: (5/7) * (0.35 x)

From the given information, we know that the total number of books is 32. Therefore, we can write the equation:

x + 0.35 x + (5/7) * (0.35 x) = 32

Let's solve this equation to find the value of x.

Solution

To solve the equation, we can simplify it as follows:

1. x + 0.35 x + (5/7) * (0.35 x) = 32 2. 1 x + 0.35 x + (5/7) * 0.35 x = 32 3. (1 + 0.35 + (5/7) * 0.35) x = 32 4. (1 + 0.35 + 0.25) x = 32 5. 1.6 x = 32 6. x = 32 / 1.6 7. x = 20

Therefore, the number of books on the first shelf (x) is 20.

Using this value, we can find the number of books on the second shelf and the third shelf:

- Number of books on the second shelf: 0.35 x = 0.35 * 20 = 7 - Number of books on the third shelf: (5/7) * (0.35 x) = (5/7) * (0.35 * 20) = 5

Answer

Therefore, there are: - 20 books on the first shelf, - 7 books on the second shelf, and - 5 books on the third shelf.

Please let me know if you need any further assistance.