Question

Количество книг первой полке в 1,4 больше раза количества книг на второй полке. Когда с первой полки взяли 4 книги и поставили вторую полку, то книг на обеих полках стало поровну. Сколько книг было на второ полке первоначально?

Answer 1

Х книг на второй полке
1,4х на первой

1,4х-4=х+4
1,4х-х=4+4
0,4х=8
х=20 книг было на второй полке
20*1,4=28 книг было на первой полке

Answer 2

Solution

Let's solve the problem step by step.

1. Let's assume the number of books on the second shelf is x. 2. According to the given information, the number of books on the first shelf is 1.4 times greater than the number of books on the second shelf. This can be represented as: 1.4x. 3. When 4 books are taken from the first shelf and placed on the second shelf, the number of books on both shelves becomes equal.

Now, we can create an equation to solve for the initial number of books on the second shelf.

Equation Setup

Let's set up the equation based on the given information: 1.4x - 4 = x + 4

Solving the Equation

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

1.4x - 4 = x + 4 1.4x - x = 4 + 4 0.4x = 8 x = 8 / 0.4 x = 20

Answer

The initial number of books on the second shelf was 20.