Question

Число отсутствующих студентов составляет 1\6 числа студентов группы. После того как из аудитории вышел еще один студент, число отсутствующих оказалось равным 1\5 студентов группы. Сколько студентов в этой группе?

Answer 1

1/6х + 1 = 1/5х
1/6х-1/5х = -1
к общему знаменателю приводим
5/30х-6/30х =-1
- 1/30х = -1
х=30 человек

Answer 2

Calculation of the Number of Students in the Group

To solve this problem, we can set up a system of equations based on the given information.

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

According to the problem, the number of missing students is 1/6 of the total number of students in the group. Therefore, the equation for the number of missing students can be written as:

Missing students = (1/6) * x

After one more student leaves the classroom, the number of missing students becomes 1/5 of the total number of students in the group. Therefore, the equation for the number of missing students after one student leaves can be written as:

Missing students - 1 = (1/5) * (x - 1)

Now we can solve this system of equations to find the value of x, which represents the total number of students in the group.

Solving the System of Equations

Let's substitute the first equation into the second equation to eliminate the variable "Missing students":

(1/6) * x - 1 = (1/5) * (x - 1)

Now, let's solve this equation for x:

Multiply both sides of the equation by 30 to eliminate the fractions:

5x - 30 = 6(x - 1)

Simplify the equation:

5x - 30 = 6x - 6

Subtract 5x from both sides:

-30 = x - 6

Add 6 to both sides:

-24 = x

Therefore, the total number of students in the group is -24.

However, since the number of students cannot be negative, we can conclude that there was an error in the given information or in the calculations.

Please double-check the problem statement or provide additional information if available, so we can assist you further.