Question

Надир за 1 книгу и три тетради заплатил 2 маната 40 копеек. Сколько стоит книга, если она в 3 раза дороже тетради? решите с помощью уравнения

Answer 1

X- книга , у- тетрадь
По условию х+3*у=2,40, х=3*у
Подставим
3*у+3*у=2,40
6*у=2,40
у=0,40
х=3*0,40
х=1,20
Книга стоит 1,20

Answer 2

Problem Analysis

We are given that Nadir paid 2 manats and 40 kopeks for 1 book and 3 notebooks. We are also told that the book is 3 times more expensive than the notebook. We need to find the cost of the book.

Solution

Let's assume the cost of one notebook is x manats. Since the book is 3 times more expensive than the notebook, the cost of the book would be 3x manats.

According to the given information, Nadir paid a total of 2 manats and 40 kopeks for 1 book and 3 notebooks. We can set up the following equation to represent this:

1 * (3x) + 3 * x = 2 manats + 40 kopeks

Simplifying the equation, we have:

3x + 3x = 2 manats + 40 kopeks

Combining like terms, we get:

6x = 2 manats + 40 kopeks

To solve for x, we need to convert the kopeks to manats. Since 100 kopeks make 1 manat, we can rewrite the equation as:

6x = 2 manats + 0.40 manats

Combining the manats, we have:

6x = 2.40 manats

Dividing both sides of the equation by 6, we get:

x = 0.40 manats / 6

Simplifying, we find:

x = 0.0667 manats

Therefore, the cost of one notebook is approximately 0.0667 manats.

Since the book is 3 times more expensive than the notebook, the cost of the book would be:

3 * 0.0667 manats = 0.20 manats

Therefore, the book costs approximately 0.20 manats.

Answer: The book costs approximately 0.20 manats.