Question

Пожалуйста даю 10 баллов помогите пж . число книг на первой полке составляло 3/4 от числа книг на второй полке. когда со второй полки на первую переставили 3 книги то число книг на первой полке составило 4/5 от числа книг на второй полке. сколько книг стояло на двух полках первоначально

Answer 1

Ке-43

Ответ:

ен

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given information about the number of books on two shelves. Initially, the number of books on the first shelf is 3/4 of the number of books on the second shelf. After moving 3 books from the second shelf to the first shelf, the number of books on the first shelf becomes 4/5 of the number of books on the second shelf. We need to determine the initial number of books on both shelves.

Solution

Let's assume the initial number of books on the second shelf is x. According to the given information, the initial number of books on the first shelf is 3/4 of x.

After moving 3 books from the second shelf to the first shelf, the number of books on the first shelf becomes 4/5 of the number of books on the second shelf. So, the number of books on the first shelf after the move is (4/5) * (x - 3).

To find the initial number of books on both shelves, we can set up an equation using the given information:

(3/4) * x = (4/5) * (x - 3)

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

Equation Solution

To solve the equation, we can start by multiplying both sides by 20 to eliminate the fractions:

20 * (3/4) * x = 20 * (4/5) * (x - 3)

15 * x = 16 * (x - 3)

15 x = 16 x - 48

48 = 16 x - 15 x

48 = x

Therefore, the initial number of books on the second shelf (x) is 48.

Final Answer

The initial number of books on the first shelf is 3/4 of x, which is (3/4) * 48 = 36.

So, the initial number of books on the first shelf is 36, and the initial number of books on the second shelf is 48.