Question

На соревнованиях по настольному теннису участвовали равные по составу команды, всего 145 мальчиков и 87 девочек. Во всех командах было одинаковое число мальчиков и одинаковое число девочек. Сколько команд участвовало в олимпиаде? Сколько мальчиков и сколько девочек было в каждой команде?;

Answer 1

ТддмиссяЯ ОПССЧЛДТ ПАП

Answer 2

Четыре команды.
58мальчиков.
58девочек.

Answer 3

Calculation of the Number of Teams, Boys, and Girls

To determine the number of teams, boys, and girls participating in the table tennis competition, we can use the given information.

According to the question, there were a total of 145 boys and 87 girls participating in the competition. All the teams had an equal number of boys and an equal number of girls.

Let's assume that each team had 'x' boys and 'y' girls.

To find the number of teams, we can divide the total number of boys by the number of boys in each team, or the total number of girls by the number of girls in each team. Since both values should be the same, we can use either calculation.

Let's calculate the number of teams using the number of boys:

Number of teams = Total number of boys / Number of boys in each team

Number of teams = 145 boys / x boys per team

Similarly, the number of teams can be calculated using the number of girls:

Number of teams = Total number of girls / Number of girls in each team

Number of teams = 87 girls / y girls per team

Since the number of teams is the same in both cases, we can equate the two expressions:

145 boys / x boys per team = 87 girls / y girls per team

Now, we need to find the values of 'x' and 'y' that satisfy this equation.

To solve this equation, we can find the least common multiple (LCM) of 145 and 87, and then divide it by both numbers to find the values of 'x' and 'y'.

Let's calculate the LCM of 145 and 87:

LCM(145, 87) = 17415

Now, we can find the values of 'x' and 'y' by dividing the LCM by 145 and 87, respectively:

x = LCM(145, 87) / 145 = 17415 / 145 = 120

y = LCM(145, 87) / 87 = 17415 / 87 = 200

Therefore, there were 120 teams participating in the Olympic table tennis competition. Each team consisted of 120 boys and 200 girls.