Question

Скажи мне, знаменитый Пифагор, сколько учеников посещают твою школу и слушают твои беседы? Вот сколько, ответил философ, половина изучает математику, четверть музыку, седьмая часть пребывает в молчании и, кроме того, есть еще три женщины.

Answer 1

пусть число учеников - x,

то $\frac{1}{2}x+\frac{1}{4}x +\frac{1}{7}x+3 = x$

$\frac{1}{2} = \frac{14}{28}$

$\frac{1}{4}=\frac{7}{28}$

$\frac{1}{7} = \frac{4}{28}$

$\frac{14}{28}x+\frac{7}{28}x+\frac{4}{28}x = \frac{25}{28}x$

$\frac{3}{28}x=3$

$\frac{1}{28}x=1$

$x = 28$

Answer 2

Number of Students in Pythagoras' School

According to the famous philosopher Pythagoras, the number of students attending his school and listening to his lectures can be divided as follows:

- Half of the students study mathematics. - One-fourth of the students study music. - One-seventh of the students remain silent. - Additionally, there are three women in the school.

Unfortunately, I couldn't find a specific number for the total number of students in Pythagoras' school. The information provided only gives us the proportions of students studying different subjects and those who remain silent.