Question

Женя приобрел 3 одинаковые тетради и 1 учебник,заплатив за всю покупку 536 рублей.Найди цену тетради ,если цена учебника составила 5/8 от стоимости покупки

Answer 1

536:8*5=335(руб)-цена учебника
536-335=201(руб)-за 3 тетрадки
201:3=67(руб)-за 1 тетрадку

Answer 2

1)536/8*5=335(р.)-стоимость учебника
2)(536-335)/3=201/3=67(р.)-стоимость 1 тетради
ответ: 67р.

Answer 3

Problem Analysis

Женя приобрел 3 одинаковые тетради и 1 учебник, заплатив за всю покупку 536 рублей. Нужно найти цену тетради, если цена учебника составила 5/8 от стоимости покупки.

Solution

Let's assume the price of each notebook is x rubles.

According to the given information, the price of the textbook is 5/8 of the total purchase price. Therefore, the price of the textbook is (5/8) * 536 rubles.

The total purchase price is the sum of the prices of the three notebooks and the price of the textbook. So we can write the equation:

3x + (5/8) * 536 = 536

Now we can solve this equation to find the value of x, which represents the price of each notebook.

Calculation

Let's solve the equation:

3x + (5/8) * 536 = 536

Multiply both sides of the equation by 8 to eliminate the fraction:

24x + 5 * 536 = 8 * 536

24x + 2680 = 4288

Subtract 2680 from both sides of the equation:

24x = 4288 - 2680

24x = 1608

Divide both sides of the equation by 24:

x = 1608 / 24

x = 67

Answer

The price of each notebook is 67 rubles.

Explanation

According to the given information, the price of the textbook is 5/8 of the total purchase price. Therefore, the price of the textbook is (5/8) * 536 = 335 rubles.

The total purchase price is the sum of the prices of the three notebooks and the price of the textbook. So we can calculate the total purchase price as follows:

3 * 67 + 335 = 201 + 335 = 536 rubles.

Therefore, the price of each notebook is 67 rubles, which satisfies the given conditions.