Question

Из 29 учеников класса 17 занимаются спортом, а 19 музыкой. Некоторые из тех, которые занимаются и музыкой, и спортом ходят в театральный кружок. Какое наибольшее число учеников может посещать театральный кружок?

Answer 1

Ответ:

1)29-17=12(ч) не занимаются спортом 2)29-19=10(ч) не занимаются музыкой 3) 12+7=19(ч) занимаются в одном кружке 4)29-19=10(ч) занимаются в двух кружках. "Некоторые"-это не "все". Значит максимальное число занимающихся в театральном кружке 5)10-1=9(ч) ответ: 9 человек

Answer 2

Analysis and Solution

To find the maximum number of students who can attend the theater club, we need to consider the overlapping groups of students who participate in both sports and music.

According to the given information: - There are 29 students in the class. - 17 students participate in sports. - 19 students participate in music.

We also know that some students participate in both music and sports and attend the theater club.

To find the maximum number of students who can attend the theater club, we need to determine the number of students who participate in both music and sports.

Let's calculate the maximum number of students who can attend the theater club step by step:

1. Determine the number of students who participate in both music and sports: - The number of students who participate in music: 19. - The number of students who participate in sports: 17. - Therefore, the number of students who participate in both music and sports is the smaller of the two numbers, which is 17.

2. Subtract the number of students who participate in both music and sports from the total number of students who participate in music: - Total number of students who participate in music: 19. - Number of students who participate in both music and sports: 17. - Therefore, the number of students who participate in music only is 19 - 17 = 2.

3. Subtract the number of students who participate in both music and sports from the total number of students who participate in sports: - Total number of students who participate in sports: 17. - Number of students who participate in both music and sports: 17. - Therefore, the number of students who participate in sports only is 17 - 17 = 0.

4. Add the number of students who participate in both music and sports to the number of students who participate in music only: - Number of students who participate in both music and sports: 17. - Number of students who participate in music only: 2. - Therefore, the maximum number of students who can attend the theater club is 17 + 2 = 19.

The maximum number of students who can attend the theater club is 19.