Question

на одной полке было в 4,5 раза больше книг чем на другой когда с одной полки убрали 54 книг на другую положили 72 что на полках стало книг поровну Сколько книг было в каждой полке первоначально​

Answer 1

Ответ:

В первой полке 162, а второй полке 36

Пошаговое объяснение:

Составим уравнение:

$4.5x - 54 = x + 72 \\ 4.5x - x = 54 + 72 \\ 3.5x = 126 \\ x = 126 \div 3.5 \\ x =36$

$36 \times 4.5 = 162$

$УчихаСаске$

Answer 2

Ответ:

Пошаговое объяснение:

4,5х-54=х+72

4,5х-х=72+54

3,5х=126

х=126÷3,5

х=36 книг было на другой полке

36×4,5=162 книги было на 1 полке

162-54=36+72

Answer 3

Problem Analysis

We are given two shelves with books, and initially, one shelf has 4.5 times more books than the other. Then, 54 books are removed from one shelf and placed on the other, resulting in an equal number of books on both shelves. We need to determine the initial number of books on each shelf.

Solution

Let's assume the initial number of books on one shelf is x. According to the problem, the other shelf has 4.5 times more books, so the number of books on the other shelf is 4.5x.

After removing 54 books from one shelf and placing them on the other, the number of books on the first shelf becomes x - 54, and the number of books on the second shelf becomes 4.5x + 54.

Since the number of books on both shelves is now equal, we can set up the following equation:

x - 54 = 4.5x + 54

Simplifying the equation, we get:

4.5x - x = 54 + 54

3.5x = 108

Dividing both sides of the equation by 3.5, we find:

x = 108 / 3.5

Calculating the value of x, we get:

x ≈ 30.857

Therefore, the initial number of books on one shelf is approximately 30.857, and the initial number of books on the other shelf is approximately 4.5 * 30.857 ≈ 138.857.

So, initially, there were approximately 30.857 books on one shelf and approximately 138.857 books on the other shelf.

Answer

The initial number of books on each shelf was approximately 30.857 and 138.857, respectively.