Question

На трех полках книги,на второй полке книг вдвое больше чем на первой ,а на третьей втрое больше ,чем на второй.сколько книг на кождой полке если тзвестно что на всех поках 171 книга.Решить УРАВНЕНИЕМ

Answer 1

1 полка-x
2 полка-2x
3 полка-2*3x
Всего 171
X+2x+2*3x=171
9x=171
x=171:9
x=19 книг на 1 полке
2x=19*2=38 книг на 2 полке
2*3x=6x=19*6=114 книг на 3 полке

Answer 2

Problem Analysis

We are given three shelves of books, and the number of books on each shelf follows a specific pattern. The number of books on the second shelf is twice the number of books on the first shelf, and the number of books on the third shelf is three times the number of books on the second shelf. We need to find the number of books on each shelf given that there are a total of 171 books on all the shelves.

Solution

Let's assume the number of books on the first shelf is x. According to the given information, the number of books on the second shelf is twice the number of books on the first shelf, so it is 2x. Similarly, the number of books on the third shelf is three times the number of books on the second shelf, so it is 3(2x) = 6x.

We know that the total number of books on all the shelves is 171. So we can write the equation:

x + 2x + 6x = 171

Simplifying the equation, we get:

9x = 171

Now we can solve this equation to find the value of x.

Calculation

To find the value of x, we divide both sides of the equation by 9:

x = 171 / 9

Calculating this, we find:

x = 19

Now that we have the value of x, we can find the number of books on each shelf: - The number of books on the first shelf is x = 19. - The number of books on the second shelf is 2x = 2 * 19 = 38. - The number of books on the third shelf is 6x = 6 * 19 = 114.

Therefore, there are 19 books on the first shelf, 38 books on the second shelf, and 114 books on the third shelf.

Answer

There are 19 books on the first shelf, 38 books on the second shelf, and 114 books on the third shelf.