Question

У древнегреческого математика Пифагора спросили :"Сколько у вас учеников?" Он ответил:"Половина моих учеников изучает математику ,четверть-природоведение ,одна седьмая проводят время в раздумьях,а 3 оставшихся являются девочками".Сколько учеников было у Пифагора?

Answer 1

пусть было x- учеников

тогда

   

 x/2 +x/4 +x/7 +3 =x

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

25x+84=28x

3x=84

x=28- учеников

Answer 2

Number of Students of Pythagoras

According to the information provided, Pythagoras, the ancient Greek mathematician, was asked about the number of his students. He responded by saying that half of his students studied mathematics, a quarter studied natural science, one-seventh spent their time in contemplation, and the remaining three were girls.

To determine the total number of students Pythagoras had, we can use the given fractions and calculate the common denominator.

Let's break down the information given:

- Half of the students studied mathematics: This means that 1/2 of the total number of students studied mathematics. - A quarter studied natural science: This means that 1/4 of the total number of students studied natural science. - One-seventh spent their time in contemplation: This means that 1/7 of the total number of students spent their time in contemplation. - Three students were girls: This means that 3 students out of the total number were girls.

To find the common denominator, we can multiply the denominators of the fractions: 2 * 4 * 7 = 56.

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

- Mathematics: 1/2 * 56 = 28 students. - Natural Science: 1/4 * 56 = 14 students. - Contemplation: 1/7 * 56 = 8 students. - Girls: 3 students.

To find the total number of students, we add up the students in each category:

28 (mathematics) + 14 (natural science) + 8 (contemplation) + 3 (girls) = 53.

Therefore, Pythagoras had 53 students.