Question

На первой полке в 8 раз больше книг, чем на второй. Если с первой полки снять 4 книги, а на вторую поставить 10 книг, то на полках книг станет поровну. Сколько книг стоит на каждой полке?

Answer 1

Пусть на первой полке 8х, а на второй х
Тогда 8х-4=х+10;
7х=14
х=2
Изначально на первой полке было 16 книг, а на второй 2
Стало на обоих 9 книг

Answer 2

Solution:

Let's denote the number of books on the second shelf as x. According to the given information, the number of books on the first shelf is 8 times the number on the second shelf, so the number of books on the first shelf is 8x.

After removing 4 books from the first shelf and adding 10 books to the second shelf, the number of books on both shelves becomes equal. This can be represented by the equation:

8x - 4 = x + 10

Solving for x will give us the number of books on the second shelf, and then we can find the number of books on the first shelf.

Calculation:

8x - 4 = x + 10

Subtracting x from both sides:

7x - 4 = 10

Adding 4 to both sides:

7x = 14

Dividing by 7:

x = 2

So, there are 2 books on the second shelf.

Now, we can find the number of books on the first shelf:

8x = 8 * 2 = 16

So, there are 16 books on the first shelf.

Therefore, there are 16 books on the first shelf and 2 books on the second shelf.

I hope this helps! If you have any other questions, feel free to ask.