
На соревновании по баскетболу пришло (а) девочек, а мальчиков на (в) больше, чем девочек. Для игры
они разбились на команды по 5 человек. Сколько команд получилось? вычислите при а=23, в=14 Составьте буквенное выражение для решения задачи

Ответы на вопрос




Problem Analysis
We are given that there are more boys than girls at a basketball competition. They formed teams of 5 people each. We need to determine the number of teams that were formed.Solution
To solve this problem, we can use the given information that there are more boys than girls. Let's denote the number of girls as 'a' and the number of boys as 'b'. We are given that 'a' is the number of girls and 'b' is the number of boys. We are also given that 'a' is less than 'b'.We can use the formula for division with remainder to find the number of teams. The formula is:
Dividend = Divisor * Quotient + Remainder
In this case, the dividend is the total number of players, which is 'a + b'. The divisor is the number of players in each team, which is 5. The quotient represents the number of teams, and the remainder represents the number of players left over.
Let's substitute the given values into the formula:
a + b = 5 * Quotient + Remainder
We are given that 'a = 23' and 'b = 14'. Substituting these values into the equation, we get:
23 + 14 = 5 * Quotient + Remainder
Simplifying the equation, we have:
37 = 5 * Quotient + Remainder
To find the number of teams, we need to find the quotient. We can rearrange the equation to solve for the quotient:
Quotient = (37 - Remainder) / 5
To find the remainder, we can use the fact that the number of boys is greater than the number of girls. Since there are more boys, the remainder must be less than 5. Therefore, the possible remainders are 0, 1, 2, 3, or 4.
Let's calculate the number of teams for each possible remainder:
- For a remainder of 0, the quotient is (37 - 0) / 5 = 37 / 5 = 7.4 teams. - For a remainder of 1, the quotient is (37 - 1) / 5 = 36 / 5 = 7.2 teams. - For a remainder of 2, the quotient is (37 - 2) / 5 = 35 / 5 = 7 teams. - For a remainder of 3, the quotient is (37 - 3) / 5 = 34 / 5 = 6.8 teams. - For a remainder of 4, the quotient is (37 - 4) / 5 = 33 / 5 = 6.6 teams.
Since we cannot have a fraction of a team, we need to round down the quotient to the nearest whole number. Therefore, the number of teams is:
- For a remainder of 0, the number of teams is 7. - For a remainder of 1, the number of teams is 7. - For a remainder of 2, the number of teams is 7. - For a remainder of 3, the number of teams is 6. - For a remainder of 4, the number of teams is 6.
Therefore, the number of teams that were formed is either 6 or 7, depending on the remainder.
Answer
The number of teams that were formed at the basketball competition is either 6 or 7.

Топ вопросов за вчера в категории Математика
Последние заданные вопросы в категории Математика
-
Математика
-
Литература
-
Алгебра
-
Русский язык
-
Геометрия
-
Английский язык
-
Химия
-
Физика
-
Биология
-
Другие предметы
-
История
-
Обществознание
-
Окружающий мир
-
География
-
Українська мова
-
Информатика
-
Українська література
-
Қазақ тiлi
-
Экономика
-
Музыка
-
Право
-
Беларуская мова
-
Французский язык
-
Немецкий язык
-
МХК
-
ОБЖ
-
Психология
-
Физкультура и спорт
-
Астрономия
-
Кыргыз тили
-
Оʻzbek tili