Question

Завдання 8-9 оцінюють трьома балами. 3. У шкільній бібліотеці близько 2000 книг. Хлопчики спробували від- гадати їх точну кількість. Богдан сказав, що книг 2027, Петрик що 2024, а Олег назвав число 2011. Проте бібліотекар відповіла, що хлопчики помилилися на 10; 7 і 6 одиниць, але не вказала, хто на скільки. Скільки книг у бібліотеці,​

Answer 1

Відповідь:

Богдан: x + 10 = 2027

Петрик: x + 7 = 2024

Олег: x + 6 = 2011

Розв'язуючи ці рівняння, отримуємо:

x = 2017 (за Богданом)

x = 2017 (за Петриком)

x = 2005 (за Олегом)

Таким чином, кількість книг у бібліотеці становить 2017.

Покрокове пояснення:

Answer 2

According to the given information, there are three boys who tried to guess the exact number of books in the school library. Bogdan said there are 2027 books, Petryk said there are 2024 books, and Oleg said there are 2011 books. The librarian confirmed that the boys made mistakes, but did not specify by how much each boy was off. We need to determine the actual number of books in the library.

To solve this problem, we can use a system of equations. Let's assume the actual number of books in the library is 'x'. Based on the given information, we can set up the following equations:

Bogdan's guess: x = 2027 - a Petryk's guess: x = 2024 - b Oleg's guess: x = 2011 - c

Where 'a', 'b', and 'c' represent the number of books each boy was off by.

Since the librarian mentioned that the boys made mistakes by 10, 7, and 6 units respectively, we can modify the equations as follows:

Bogdan's equation: x = 2027 - 10 Petryk's equation: x = 2024 - 7 Oleg's equation: x = 2011 - 6

Simplifying the equations, we get:

Bogdan's equation: x = 2017 Petryk's equation: x = 2017 Oleg's equation: x = 2005

Since all three equations are equal to 'x', we can conclude that the actual number of books in the library is 2017.

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