Question

Кожен учень деякого класу вивчае або англійську , або німецьку мови.Усього в класі 25 учнів, англійську вивчають 21, німецьку 10. Відомо , що п'ята частина тих учнів школи , які одночасно вивчають англійську та німецьку складають саме учні цього класу . Скільки учнів у школі вивчають англійську та німецьку мови?

Answer 1

1. 25-21=4 не учат английский
2. 25-10=15 не учат немецкий
3. 21+10=31 учат всего ин.яз
4. 31-(4+15)=12 учеников учат оба языка.
  Вроде правильно но с пояснениями что-то каряво

Answer 2

Analysis and Solution

To solve this problem, we need to determine the number of students in the school who are studying both English and German. We are given the following information:

- Total number of students in the class: 25 - Number of students studying English: 21 - Number of students studying German: 10

We also know that the fifth part of the school's students who are studying both English and German are from this class.

Let's break down the problem and find the solution step by step.

Step 1: Calculate the number of students studying both English and German

To find the number of students studying both English and German, we need to calculate the fifth part of the total number of students in the school who are studying both languages.

The total number of students studying both English and German can be calculated as follows:

Total number of students studying both English and German = (Total number of students in the class) / 5

Substituting the given values:

Total number of students studying both English and German = 25 / 5 = 5

Therefore, there are 5 students in the school who are studying both English and German.

Step 2: Calculate the number of students studying only English

To find the number of students studying only English, we need to subtract the number of students studying both English and German from the total number of students studying English.

The number of students studying only English can be calculated as follows:

Number of students studying only English = Number of students studying English - Total number of students studying both English and German

Substituting the given values:

Number of students studying only English = 21 - 5 = 16

Therefore, there are 16 students in the school who are studying only English.

Step 3: Calculate the number of students studying only German

To find the number of students studying only German, we need to subtract the number of students studying both English and German from the total number of students studying German.

The number of students studying only German can be calculated as follows:

Number of students studying only German = Number of students studying German - Total number of students studying both English and German

Substituting the given values:

Number of students studying only German = 10 - 5 = 5

Therefore, there are 5 students in the school who are studying only German.

Step 4: Calculate the number of students studying both English and German

We have already calculated the number of students studying both English and German in Step 1. The result is 5 students.

Step 5: Calculate the number of students in the school studying English and German

To find the total number of students in the school who are studying both English and German, we need to add the number of students studying both languages to the number of students studying only English and only German.

The total number of students in the school studying English and German can be calculated as follows:

Total number of students studying English and German = Number of students studying both English and German + Number of students studying only English + Number of students studying only German

Substituting the given values:

Total number of students studying English and German = 5 + 16 + 5 = 26

Therefore, there are 26 students in the school who are studying both English and German.

Conclusion

In conclusion, there are 26 students in the school who are studying both English and German.

Please let me know if there is anything else I can help you with!