Question

В магазине Юра купил линейку, карандаши и ручку. Линейка стоит 3 рубля ,карандаши дороже линейки в 6 раз, а ручка дешевле карандашей в 2 раза, Сколько стоят карандаши? Сколько стоит ручка? На сколько рублей карандаши дороже линейки? Сколько стоит вся покупка? Как сделать схему к задаче

Answer 1

Краткая запись:
Линейка - 3 руб.           ←
Каранд. - в 6 р. дороже→↑   ←
Ручка - в 2 р. дешевле         →↑
Сколько стоят карандаши?
1) 3*6=18 (рублей) - стоят карандаши.
2) Сколько стоит ручка?
18:2=9 (рублей) - стоит ручка.
На сколько рублей карандаши дороже линейки?
3) 18-3=15 (рублей) - карандаши дороже линейки.
Сколько стоит вся покупка?
3+18+9=30 (рублей) - стоимость всей покупки.

Схема к задаче → в приложении

Answer 2

Problem Analysis

In the given problem, we are given the prices of a ruler, pencils, and a pen. We are also given the relationships between their prices. We need to determine the cost of the pencils, the cost of the pen, the price difference between the pencils and the ruler, and the total cost of the purchase.

Solution

Let's assume the cost of the ruler is x rubles. According to the problem, the pencils are more expensive than the ruler by a factor of 6, and the pen is cheaper than the pencils by a factor of 2.

Based on this information, we can calculate the following:

- The cost of the pencils is 6x rubles. - The cost of the pen is (6x)/2 = 3x rubles. - The price difference between the pencils and the ruler is 6x - x = 5x rubles. - The total cost of the purchase is x + 6x + 3x = 10x rubles.

To find the cost of the pencils, we need to solve the equation 6x = 3. Dividing both sides by 6, we get x = 0.5 rubles.

Therefore, the cost of the pencils is 6 * 0.5 = 3 rubles, and the cost of the pen is 3 * 0.5 = 1.5 rubles. The price difference between the pencils and the ruler is 5 * 0.5 = 2.5 rubles. The total cost of the purchase is 0.5 + 3 + 1.5 = 5 rubles.

Diagram

Here is a diagram representing the relationships between the prices:

Ruler (x rubles) --> Pencils (6x rubles)
                     |
                     v
                  Pen (3x rubles)

Summary

To summarize: - The cost of the pencils is 3 rubles. - The cost of the pen is 1.5 rubles. - The price difference between the pencils and the ruler is 2.5 rubles. - The total cost of the purchase is 5 rubles.

Please let me know if I can help you with anything else.