Question

6 карандашей стоят на 18 рублей дешевле, чем 2 ручки и 4 карандаша. На сколько рубле карандаш дешевле ручки? Запишите решение и ответ!

Answer 1

Ответ:

6-4=2 карандаша разница

получаем 2 карандаша стоят на 18 руб дешевле 2 ручек

18:2=9 руб карандаш дешевле ручки

Ответ. 9 руб

Answer 2

18÷2= 9

Ответ: 9 рублей дешевлей ручки

Answer 3

Problem Analysis

We are given that 6 pencils cost 18 rubles less than 2 pens and 4 pencils. We need to determine the price difference between a pencil and a pen.

Solution

Let's assume the cost of a pen is P rubles and the cost of a pencil is C rubles.

According to the given information, we have the following equation: 6C = (2P + 4C) - 18

Simplifying the equation, we get: 6C = 2P + 4C - 18

Rearranging the terms, we get: 2C = 2P - 18

Dividing both sides of the equation by 2, we get: C = P - 9

Therefore, a pencil is 9 rubles cheaper than a pen.

Answer

A pencil is 9 rubles cheaper than a pen.

Solution Verification

Let's verify the solution using the given information.

According to the given information, 6 pencils cost 18 rubles less than 2 pens and 4 pencils.

Let's substitute the values into the equation: 6C = (2P + 4C) - 18

Substituting C = P - 9, we get: 6(P - 9) = (2P + 4(P - 9)) - 18

Simplifying the equation, we get: 6P - 54 = 2P + 4P - 36 - 18 6P - 54 = 6P - 54

The equation is balanced, which confirms that our solution is correct.

Therefore, a pencil is indeed 9 rubles cheaper than a pen.