Question

У дитячий садок привезли навчальні картки для навчання на деяких написано "МА", на решті "НЯ". Кожна дитина отримала по три картки і почала складати слова. Виявилось , що слово "МАМА" можуть скластизі своїх карток рівно20 дытей, слово "НЯНЯ" - 30 дітей, а слово "МАНЯ" - 40 дітей. У скількох дітей усі три картки однакові?

Answer 1

У 20 детей карточки (МА, МА, МА) или (МА, МА, НЯ).
У 30 детей карточки (НЯ, НЯ, НЯ) или (НЯ, НЯ, МА).
У 40 детей карточки (МА, МА, НЯ) или (НЯ, НЯ, МА).
Сложим 1 и 2 строки
(МА, МА, МА) + (МА, МА, НЯ) + (НЯ, НЯ, НЯ) + (НЯ, НЯ, МА) = 50
(МА, МА, НЯ) + (НЯ, НЯ, МА) = 40
Вычтем из 1 уравнения 2 уравнение.
(МА, МА, МА) + (НЯ, НЯ, НЯ) = 50 - 40 = 10
Ответ: у 10 детей все 3 одинаковых карточки.

Answer 2

Problem Analysis

In this problem, children in a kindergarten are given educational cards to learn words. Some cards have the letters "MA" written on them, while others have the letters "NYA" written on them. Each child receives three cards and starts to form words. It is found that the word "MAMA" can be formed by 20 children, the word "NYANYA" can be formed by 30 children, and the word "MANIA" can be formed by 40 children. The question is how many children have all three cards that are the same.

Solution

To find the number of children who have all three cards that are the same, we need to determine the common letters among the words "MAMA," "NYANYA," and "MANIA." Let's analyze the words:

- The word "MAMA" can be formed by 20 children. - The word "NYANYA" can be formed by 30 children. - The word "MANIA" can be formed by 40 children.

From these words, we can see that the common letters are "A" and "N." Therefore, the children who have all three cards that are the same must have either the letter "A" or the letter "N" on their cards.

To find the number of children who have all three cards that are the same, we need to determine the number of children who have the letter "A" on their cards and the number of children who have the letter "N" on their cards. Then, we can add these two numbers together.

Unfortunately, the information provided does not specify the number of children who have the letter "A" or the letter "N" on their cards. Therefore, we cannot determine the exact number of children who have all three cards that are the same.

In conclusion, we cannot determine the exact number of children who have all three cards that are the same based on the information provided.