Question

В классе раздавали тетради.Каждому дали по 2 тетради и осталось 25 тетрадей. А если каждому раздать по 4 тетради, то не хватит 25 тетрадей. Сколько учеников в классе?

Answer 1

так как при раздаче детям по 2 тетради - осталось 25 тетрадей, а если каждому раздать по 4 тетради, то опять же не хватит 25 тетрадей. Значит можно сделать вывод, что в классе 25 человек

 

или решить уравнением

пусть детей х, тогда

2х+25=4х-25

4х-2х=25+25

2х=50

х=25 детей в классе

Answer 2

Пусть в классе Х учеников, то

2 * Х + 25 = 4 * Х - 25

2 * Х = 50

Х = 25

Answer 3

Problem Analysis

To solve this problem, we need to determine the number of students in the class based on the information provided. We know that each student was given 2 notebooks, and there were 25 notebooks left. Additionally, if each student were given 4 notebooks, there would not be enough notebooks to go around. We need to find the number of students in the class.

Solution

Let's assume that the number of students in the class is x.

According to the given information, each student was given 2 notebooks, so the total number of notebooks distributed would be 2 times the number of students: 2x.

We also know that there were 25 notebooks left, so the total number of notebooks would be the sum of the distributed notebooks and the remaining notebooks: 2x + 25.

If each student were given 4 notebooks, the total number of notebooks distributed would be 4 times the number of students: 4x.

According to the information, if each student were given 4 notebooks, there would not be enough notebooks, so the equation would be: 4x < 2x + 25.

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

4x < 2x + 25 4x - 2x < 25 2x < 25 x < 25/2 x < 12.5

Since the number of students cannot be a decimal, we can conclude that there are 12 students in the class.

Answer

There are 12 students in the class.