Question

На трех полках 187 книг.На первой полке на 45 книг меньше,чем на второй,а на второй на 5 книг больше,чем на третьей.Сколько книг на каждой полке.Нарисуй схему она поможет тебе решить задачу

Answer 1

187-45-5-5=132 столько книг было бы на трех полках если бы на каждой было количество равное количеству на третьей
132/3=44 книг на третьей полке
44+5=49 на второй
49+45=94 на первой

Answer 2

Problem Analysis

We are given that there are 187 books on three shelves. The first shelf has 45 books fewer than the second shelf, and the second shelf has 5 books more than the third shelf. We need to determine the number of books on each shelf.

Solution

Let's assume the number of books on the third shelf is x.

According to the given information: - The first shelf has 45 books fewer than the second shelf, so the number of books on the first shelf is x - 45. - The second shelf has 5 books more than the third shelf, so the number of books on the second shelf is x + 5.

We know that the total number of books on all three shelves is 187. Therefore, we can write the equation:

(x - 45) + x + (x + 5) = 187

Simplifying the equation: 3x - 40 = 187

Solving for x: 3x = 227 x = 75.67

Since the number of books must be a whole number, we can round x to the nearest whole number, which is 76.

Therefore, there are: - 76 books on the first shelf (x - 45) - 76 books on the second shelf (x + 5) - 76 books on the third shelf (x)

Diagram

Here is a diagram to help visualize the solution:

First Shelf: 76 books
Second Shelf: 81 books
Third Shelf: 76 books

Please note that the diagram is not drawn to scale and is only meant to represent the distribution of books on each shelf.