Question

из числа участников кружка домбристов лишь 3\5 умеют играть на домбре. Через неделю ещё 6 участников научились играть на этом инструменте. после этого количества не имеющих играть на домбре составило 10% всех участников кружка. сколько человек посещают кружок домбристов?

Answer 1

3/5*100=60 % умело играть на домбре

100-60=40 % не  умело играть на домбре

40-10=30% научилось  играть на домбре

6*100/30= 20 человек посещают кружок домбристов

Answer 2

Calculating the Number of Participants in the Dombra Club

To calculate the number of people attending the Dombra club, we can follow these steps:

1. Initial Number of Dombra Players: - Initially, only 3/5 of the participants in the Dombra club can play the dombra. - This means 2/5 of the participants cannot play the dombra. - Let's denote the total number of participants as x.

2. Additional Dombra Players: - After a week, 6 more participants learned to play the dombra. - This means the number of participants who can play the dombra increased to 3/5 + 6.

3. Percentage of Non-Dombra Players: - After the addition of new players, the percentage of participants who cannot play the dombra became 10% of the total participants.

Calculations

Let's denote the total number of participants as x.

1. Initially, the number of participants who can play the dombra is 3/5 of x: - Number of initial dombra players = 3/5 * x

2. After a week, 6 more participants learned to play the dombra: - New dombra players = 6 - Total number of dombra players after a week = 3/5 * x + 6

3. The percentage of non-dombra players became 10% of the total participants: - Number of non-dombra players = 10% of x

Solving for the Total Number of Participants

We can now set up an equation using the above information to solve for the total number of participants in the Dombra club.

The equation is: - 10% of x = x - (3/5 * x + 6)

Let's solve for x.

Solution

10% of x = x - (3/5 * x + 6) - 0.1x = x - (0.6x + 6) - 0.1x = 0.4x - 6 - 6 = 0.4x - 0.1x - 6 = 0.3x - x = 6 / 0.3 - x = 20

Conclusion

Therefore, the total number of people attending the Dombra club is 20.