Question

Помогите решить задачу,пожалуйста.-Скажи мне, учитель,сколько учеников посещают твою школу и слушают твои беседы. -Вот сколько,-ответил учитель.-Половина изучают математику,четверть-природу,седьмая часть проводит время в размышлении,и, кроме того,есть еще три женщины.

Answer 1

1-все ученики
1-1\2-1\4-1\7=3\28-такую часть составляют 3 женщины
3:3\28=28 учеников

Answer 2

Problem Analysis

The problem states that the teacher is asked how many students attend their school and listen to their lectures. The teacher responds by saying that half of the students study mathematics, a quarter study nature, one-seventh spend time contemplating, and there are three women in addition to that.

Solution

To find the total number of students in the school, we need to determine the common denominator for the fractions given by the teacher. The common denominator will help us calculate the total number of students.

Let's break down the information given by the teacher:

- Half of the students study mathematics. - A quarter of the students study nature. - One-seventh of the students spend time contemplating. - There are three women in addition to the students.

To find the common denominator, we need to find the least common multiple (LCM) of 2, 4, and 7. The LCM of these numbers is 28.

Now, let's calculate the number of students for each category:

- Half of the students study mathematics: 28/2 = 14 students. - A quarter of the students study nature: 28/4 = 7 students. - One-seventh of the students spend time contemplating: 28/7 = 4 students.

Adding these numbers together, we get:

- Students studying mathematics: 14 students. - Students studying nature: 7 students. - Students spending time contemplating: 4 students. - Women: 3.

To find the total number of students, we add these numbers together:

14 + 7 + 4 + 3 = 28.

Therefore, the total number of students in the school is 28.

Answer

The teacher's school has a total of 28 students who attend the school and listen to the teacher's lectures.