Question

878 На одной полке было в 3 раза больше книг, чем на другой. Когда с одной палки убрали 8 книг, на другую положили 32 книги, то на полках стало книг поровну. Сколько книг было на каждой полке первоначально? от тет СРОЧНО ПОМОГИТЕ ПРОШУ​

Answer 1

Ответ:

Пошаговое объяснение:

1 полка = 3х книг

2 полка = х книг

3х - 8 = х + 32

3х - х = 32 + 8

2х = 40

х = 40 : 2

х = 20

1 полка = (3х) = 3 * 20 = 60 книг

2 полка = (х) = 20 книг

60 - 8 = 20 + 32

52 = 52

Answer 2

Problem Analysis

We are given that there are three times as many books on one shelf as on the other. When 8 books are removed from one shelf and 32 books are added to the other, the number of books on each shelf becomes equal. We need to find the initial number of books on each shelf.

Solution

Let's assume that the number of books on one shelf is x. According to the problem, the number of books on the other shelf is three times that, so it would be 3x.

When 8 books are removed from one shelf, the number of books on that shelf becomes x - 8. Similarly, when 32 books are added to the other shelf, the number of books on that shelf becomes 3x + 32.

According to the problem, after these changes, the number of books on each shelf is equal. So we can set up the following equation:

x - 8 = 3x + 32

Now we can solve this equation to find the value of x.

Solving the Equation

Let's solve the equation step by step:

x - 8 = 3x + 32

First, let's simplify the equation by subtracting x from both sides:

-8 = 2x + 32

Next, let's simplify further by subtracting 32 from both sides:

-40 = 2x

Finally, let's solve for x by dividing both sides by 2:

x = -20

Answer

The initial number of books on each shelf was -20. However, this is not a valid solution since the number of books cannot be negative. Therefore, there is no valid solution to this problem.

Please let me know if there is anything else I can help you with.