Question

Ученики 5 класса на каникулах посетили музей и театр. Известно, что в театре побывали 16 учеников,в музее-13 учеников,10 учеников посетили и театр и музей,а 5 учеников не принимали участия ни в одном из мероприятий. Сколько учащихся в этом классе?

Answer 1

.Я думаю....
(16+13+10)-5=39-5=34(у)
Ответ:34 учащихся в этом классе

Answer 2

Problem Analysis

We are given the following information: - 16 students visited the theater. - 13 students visited the museum. - 10 students visited both the theater and the museum. - 5 students did not participate in either activity.

We need to determine the total number of students in the class.

Solution

Let's solve this problem step by step.

1. We know that 10 students visited both the theater and the museum. So, we can subtract this number from the total number of students who visited the theater and the museum to find the number of students who visited either the theater or the museum exclusively.

Number of students who visited either the theater or the museum exclusively = (Number of students who visited the theater) + (Number of students who visited the museum) - (Number of students who visited both the theater and the museum)

Number of students who visited either the theater or the museum exclusively = 16 + 13 - 10 = 19

2. We also know that 5 students did not participate in either activity. So, we can subtract this number from the total number of students in the class to find the number of students who participated in at least one activity.

Number of students who participated in at least one activity = Total number of students - Number of students who did not participate in either activity

Number of students who participated in at least one activity = Number of students who visited either the theater or the museum exclusively + Number of students who visited both the theater and the museum + Number of students who did not participate in either activity

Number of students who participated in at least one activity = 19 + 10 + 5 = 34

3. Finally, we can find the total number of students in the class by adding the number of students who participated in at least one activity to the number of students who did not participate in either activity.

Total number of students in the class = Number of students who participated in at least one activity + Number of students who did not participate in either activity

Total number of students in the class = 34 + 5 = 39

Therefore, there are 39 students in this class.

Answer

There are 39 students in this class.