Question

У футбольній секції спочатку займалося в 3 рази більше учнів, ніж у баскетбольній.Коли до футбольної секції поступило ще 9 учнів, а до баскетбольної 33 учні, то в секціях учнів стало порівну.Скільки учнів було в кожній секції спочатку?

Answer 1

Баск. - х, футб. - 3х, складаем рівняння: 3х+9=х+33; 3х-х=33-9; 2х=24; х=24:2=12 (баскетб.), 12*3=36 (футб.)

Answer 2

Initial Number of Students in Each Section

The initial number of students in the football section was 3 times more than in the basketball section.

Let's calculate the initial number of students in each section.

Let's assume the initial number of students in the basketball section is x. Then the initial number of students in the football section would be 3x.

Additional Students

When 9 more students joined the football section and 33 more students joined the basketball section, the number of students in both sections became equal.

Let's solve for the initial number of students in each section.

We can set up the following equation to represent the given information: 3x + 9 = x + 33

Solving for x

Subtracting x from both sides gives: 2x + 9 = 33

Subtracting 9 from both sides gives: 2x = 24

Dividing by 2 gives: x = 12

So, the initial number of students in the basketball section was 12.

Calculating the Initial Number of Students in the Football Section

Since the initial number of students in the football section was 3 times more than in the basketball section, the initial number of students in the football section was: 3 * 12 = 36

Therefore, initially, there were 36 students in the football section and 12 students in the basketball section.