Question

В классе 12 детей ходят в танцевальный кружок и 7 детей занимаются музыкой.Сколько всего детей ходят на кружки? Проверьогрпр решение задачи,составив к ней обратную задачу.Можно ли составить две обратные задачи?Почему?Реши задачи

Answer 1

12 + 7 = 19 детей

обратная задача :

19 детей ходят на кружки , 7 из них занимаются музыкой , сколько детей ходят в танцевальный кружок?
19-7 = 12 детей

Answer 2

1 задача 12+7=19 (детей) 2 задача 19-7=12 (детей) 3 задача 19-12=7 (детей)

Answer 3

Calculating the Total Number of Children in Extracurricular Activities

To find the total number of children participating in extracurricular activities, we can simply add the number of children in the dance class to the number of children in the music class.

Total number of children in extracurricular activities = Number of children in dance class + Number of children in music class

Total number of children in extracurricular activities = 12 (dance) + 7 (music) = 19 children

Formulating the Inverse Problem

The inverse problem for this scenario involves determining the number of children in each class when given the total number of children in extracurricular activities.

Let's denote: - D as the number of children in the dance class - M as the number of children in the music class

The inverse problem can be formulated as: - D + M = 19

This equation represents the total number of children in extracurricular activities.

Possibility of Formulating Two Inverse Problems

It is possible to formulate two different inverse problems based on the given information. This is because there are two unknowns (D and M) in the original problem, and the total number of children in extracurricular activities (19) can be achieved through different combinations of D and M.

For example, if we consider the total number of children in extracurricular activities to be 19, we can have the following combinations: - Dance class: 12, Music class: 7 - Dance class: 10, Music class: 9 - Dance class: 8, Music class: 11 - and so on...

Each of these combinations represents a valid solution to the original problem, leading to the possibility of formulating multiple inverse problems.

Solving the Problem

Given the original problem and the inverse problem, we have: - Original problem: Total number of children in extracurricular activities = 12 (dance) + 7 (music) = 19 children - Inverse problem: D + M = 19

Based on the given information, we have already determined the total number of children in extracurricular activities to be 19. Therefore, the problem is already solved.

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