Question

ДАЮ 99Б! Ученик купил по одинаковой цене тетради в клетку и линейку тетрадей в линейку он купил на 4 больше чем в клетку и поэтому заплатил за них на 12 руб. больше Какова цена тетради? Нужно решение и КРАТКАЯ ЗАПИСЬ В В1 КОЛ-ВО ВСЕГО!

Answer 1

Х+4+х=12
2х+4=12
2х=12-4
2х=8
х=4
(примерно так но это не точно)

Answer 2

Problem Analysis

The student bought notebooks with grids and notebooks with lines. The number of notebooks with lines is 4 more than the number of notebooks with grids. The total cost of the notebooks with lines is 12 rubles more than the total cost of the notebooks with grids. We need to find the price of one notebook.

Solution

Let's assume the price of one notebook with grids is x rubles. Since the student bought 4 more notebooks with lines, the price of one notebook with lines is x + 4 rubles.

The total cost of the notebooks with grids can be calculated by multiplying the price of one notebook with grids by the number of notebooks with grids. Similarly, the total cost of the notebooks with lines can be calculated by multiplying the price of one notebook with lines by the number of notebooks with lines.

According to the problem, the total cost of the notebooks with lines is 12 rubles more than the total cost of the notebooks with grids. We can set up the following equation:

(x + 4) * (number of notebooks with lines) = x * (number of notebooks with grids) + 12

We know that the number of notebooks with lines is 4 more than the number of notebooks with grids. Let's represent the number of notebooks with grids as n. Therefore, the number of notebooks with lines is n + 4.

Substituting these values into the equation, we get:

(x + 4) * (n + 4) = x * n + 12

Now, let's solve this equation to find the value of x.

Solution Steps

1. Expand the equation: x * n + 4x + 4n + 16 = x * n + 12 2. Simplify the equation by canceling out the common terms: 4x + 4n + 16 = 12 3. Rearrange the equation: 4x + 4n = -4 4. Divide both sides of the equation by 4: x + n = -1 5. Substitute the value of n as n = x - 4 into the equation: x + (x - 4) = -1 6. Simplify the equation: 2x - 4 = -1 7. Add 4 to both sides of the equation: 2x = 3 8. Divide both sides of the equation by 2: x = 3/2 = 1.5

Therefore, the price of one notebook is 1.5 rubles.

Summary

The price of one notebook is 1.5 rubles.