Question

В одной группе 36 спортсменов а в другой 40 их надо разбить на равные команды с наибольшим возможным числом человек в команде причём в 1 команде могут быть спортсмены только из одной и той же группы сколько получится команд

Answer 1

36=9×4, 4 команды по 9 человек.
40=10×4, 4 команды по 10 человек.
Итого 8 команд.

Answer 2

2 команди всіх разом 76 спортсменів і поділи на дві уоманди в першій команді будуть всі а з другої візьмуть 2 спортсменів

Answer 3

Problem Analysis

We have two groups of athletes, one with 36 athletes and the other with 40 athletes. We need to divide them into equal teams with the maximum possible number of athletes in each team. However, each team can only consist of athletes from the same group. We need to determine how many teams we can form and the number of athletes in each team.

Solution

To find the maximum number of athletes in each team, we need to find the greatest common divisor (GCD) of the two group sizes. The GCD will represent the maximum number of athletes that can be evenly divided into each team.

Let's calculate the GCD of 36 and 40:

GCD(36, 40) = 4

Therefore, the maximum number of athletes in each team is 4.

To determine the number of teams, we divide the total number of athletes in each group by the maximum number of athletes in each team.

Number of teams for the first group = 36 / 4 = 9 Number of teams for the second group = 40 / 4 = 10

Therefore, we can form 9 teams from the first group and 10 teams from the second group.

Answer

We can divide the athletes into teams with the maximum possible number of athletes in each team. There will be 9 teams from the first group of 36 athletes and 10 teams from the second group of 40 athletes. Each team will consist of 4 athletes from the same group.

Note: The solution assumes that the number of athletes in each group is divisible by the maximum number of athletes in each team. If this is not the case, the solution may need to be adjusted accordingly.