Question

. Решите задачу: на вопрос, сколько у Пифагора учеников, мыслитель ответил так: «Половина моих учеников изучает математику, одна четвертая – природу, одна седьмая проводит время в молчаливом размышлении, остальную часть составляют три девы». Сколько учеников было у Пифагора? В.В. Кравченко. Тесты по философии. М., «Экзамен», 2003. С. 133.

Answer 1

Обозначим число учеников через х

x - (1/2 + 1/4 + 1/7)x = 3

x = 3/(1 - (14 + 7 + 4)/28) = 3 * 28/3 = 28

Итак, у великого грека был 28 ученик

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of students that Pythagoras had based on the information provided. Pythagoras stated that half of his students study mathematics, one-fourth study nature, one-seventh spend time in silent contemplation, and the remaining three are virgins. We can use this information to set up an equation and solve for the total number of students.

Solution

Let's assume the total number of students Pythagoras had is x.

According to the information given: - Half of the students study mathematics, which is equal to x/2. - One-fourth of the students study nature, which is equal to x/4. - One-seventh of the students spend time in silent contemplation, which is equal to x/7. - The remaining three students are virgins.

We can set up the equation: x/2 + x/4 + x/7 + 3 = x

To solve this equation, we can find a common denominator and simplify: 7x/14 + 3x/14 + 2x/14 + 3 = x 12x/14 + 3 = x

Next, we can simplify further: 12x + 42 = 14x 42 = 2x x = 21

Therefore, Pythagoras had 21 students.

Answer

Pythagoras had 21 students.