Question

На трёх полках стоят 96 книг. На второй полке книг в 3 раза больше, чем на первой полке,а на третьей полке-на 2 книги меньше,чем на второй полке. Сколько книг стоит на каждой полке?

Answer 1

Пусть 1 полка=x,тогда 2 полка =3x. 3 полка=3x-2.Всего 96 книг.Составим уравнение:
x+3x+(3x-2)=96
x+3x+3x-2=96
x+3x+3x=96+2
7x=98
x=98:7
x=14
1п.=14кн.
2п.=14*3=42кн
3п.=42-2=40кн

Answer 2

Problem Analysis

We are given the following information: - There are three shelves. - There are a total of 96 books on the shelves. - The number of books on the second shelf is three times the number of books on the first shelf. - The number of books on the third shelf is two books less than the number of books on the second shelf.

We need to determine the number of books on each shelf.

Solution

Let's assign variables to represent the number of books on each shelf: - Let x be the number of books on the first shelf. - The number of books on the second shelf is three times x, so it is 3x. - The number of books on the third shelf is two less than the number of books on the second shelf, so it is 3x - 2.

We know that the total number of books on all three shelves is 96. We can write this as an equation:

x + 3x + (3x - 2) = 96

Simplifying the equation:

7x - 2 = 96

Adding 2 to both sides:

7x = 98

Dividing both sides by 7:

x = 14

So, there are 14 books on the first shelf, 3 times 14 (42) books on the second shelf, and 2 less than 42 (40) books on the third shelf.

Answer

There are 14 books on the first shelf, 42 books on the second shelf, and 40 books on the third shelf.