Question

розвязати рівняння з поясненням.До задачі скласти рiвняння." на1-й полиці на 16 книг більше, ніж на 2-й.Якщо з кожної полиці взяти по 3 книги, то на 1-й буде в 1,5 рази більше,ніж на 2-й.Ск книг на кожнiй полицi?​

Answer 1

Ответ:

см фото

Пошаговое объяснение:

Answer 2

Problem Analysis

To solve this problem, we need to find the number of books on each shelf. We are given the following information: - The number of books on the first shelf is 16 more than the number of books on the second shelf. - If we take 3 books from each shelf, the number of books on the first shelf will be 1.5 times more than the number of books on the second shelf.

Let's solve this step by step.

Step 1: Setting up the equations

Let's assume the number of books on the second shelf is x. According to the first piece of information, the number of books on the first shelf is x + 16.

Step 2: Applying the second piece of information

If we take 3 books from each shelf, the number of books on the first shelf will be 1.5 times more than the number of books on the second shelf. Mathematically, we can represent this as:

x + 16 - 3 = 1.5(x - 3)

Step 3: Solving the equation

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

x + 16 - 3 = 1.5(x - 3)

Simplifying the equation:

x + 13 = 1.5x - 4.5

x - 1.5x = -4.5 - 13

-0.5x = -17.5

x = -17.5 / -0.5

x = 35

Step 4: Finding the number of books on each shelf

Now that we have found the value of x to be 35, we can substitute it back into the equation to find the number of books on each shelf.

The number of books on the second shelf (x) is 35.

The number of books on the first shelf (x + 16) is 35 + 16 = 51.

Therefore, there are 35 books on the second shelf and 51 books on the first shelf.

I hope this helps! Let me know if you have any further questions.