Question

Коля заметил,что в первой пачке тетрадей в 5 раз меньше,чем во второй. Оля сказала,что в ней на 20 тетрадей меньше,чем во второй пачке. Сколько тетрадей в каждой пачке?

Answer 1

Простейшая задача, В 1 пачке 1 часть, а во второй пачке 5 частей, и это на 20 тетрадей больше.
Значит, в 5 - 1 = 4 частях 20 тетрадей, а в 1 части 20/4 = 5 тетрадей.
В 1 пачке 5 тетрадей, а во2 пачке 25 тетрадей.

Answer 2

Problem Analysis

Kolya noticed that there are 5 times fewer notebooks in the first pack compared to the second pack. Olga said that there are 20 fewer notebooks in her pack compared to the second pack. We need to determine the number of notebooks in each pack.

Solution

Let's assume the number of notebooks in the second pack is x. According to Kolya, the number of notebooks in the first pack is 5 times fewer than in the second pack. This means the number of notebooks in the first pack is x/5.

According to Olga, the number of notebooks in her pack is 20 fewer than in the second pack. This means the number of notebooks in Olga's pack is x - 20.

To find the number of notebooks in each pack, we need to solve the following equations simultaneously:

1. Number of notebooks in the first pack = x/5 2. Number of notebooks in Olga's pack = x - 20

Let's solve these equations to find the values of x, the number of notebooks in the second pack, and the number of notebooks in the first pack.

Solution Steps

1. Set up the equations based on the given information: - Number of notebooks in the first pack = x/5 - Number of notebooks in Olga's pack = x - 20 2. Solve the equations simultaneously to find the value of x. 3. Substitute the value of x into the equations to find the number of notebooks in each pack.

Solution

Let's solve the equations:

Equation 1: Number of notebooks in the first pack = x/5

Equation 2: Number of notebooks in Olga's pack = x - 20

To solve these equations, we can set them equal to each other:

x/5 = x - 20

Now, let's solve for x:

x/5 = x - 20

Multiply both sides of the equation by 5 to eliminate the fraction:

5(x/5) = 5(x - 20)

Simplify:

x = 5x - 100

Subtract 5x from both sides:

x - 5x = -100

Simplify:

-4x = -100

Divide both sides by -4:

x = -100 / -4

Simplify:

x = 25

Now that we have the value of x, we can substitute it back into the equations to find the number of notebooks in each pack:

Number of notebooks in the first pack = x/5 = 25/5 = 5

Number of notebooks in Olga's pack = x - 20 = 25 - 20 = 5

Therefore, there are 5 notebooks in each pack.

Answer

There are 5 notebooks in each pack.