Question

Три учительницы -Ирина Васильевна, Дарья Михайловна, София Петровна- преподают химию, биологию и физику в школах Ярославля, Владимира и Краснодара. известно что: Ирина Васильевна работает не в Ярославле, а Дарья Михайловна не во Владимире; та ,которая живет в Ярославле, преподает не физику; работающая во Владимире учитель химии; Дарья Михайловна преподает не биологию; кто в каком городе живет, какой предмет преподает? Помогите решить и начертите таблицу, пожалуйста.

Answer 1

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Answer 2

Problem Analysis

We are given three teachers: Irina Vasilyevna, Darya Mikhailovna, and Sofia Petrovna. They teach chemistry, biology, and physics in the schools of Yaroslavl, Vladimir, and Krasnodar. We know the following information: - Irina Vasilyevna does not work in Yaroslavl. - Darya Mikhailovna does not work in Vladimir. - The teacher who lives in Yaroslavl does not teach physics. - The teacher who works in Vladimir teaches chemistry. - Darya Mikhailovna does not teach biology.

We need to determine which teacher lives in which city and which subject each teacher teaches.

Solution

Let's analyze the given information step by step and fill in the table accordingly:

| Teacher | City | Subject | |--------------------|------------|-----------| | Irina Vasilyevna | | | | Darya Mikhailovna | | | | Sofia Petrovna | | |

1. Irina Vasilyevna does not work in Yaroslavl. Therefore, she must work in either Vladimir or Krasnodar. 2. Darya Mikhailovna does not work in Vladimir. Therefore, she must work in either Yaroslavl or Krasnodar. 3. The teacher who lives in Yaroslavl does not teach physics. Therefore, Irina Vasilyevna cannot teach physics. 4. The teacher who works in Vladimir teaches chemistry. Therefore, the teacher who lives in Vladimir must be the chemistry teacher. 5. Darya Mikhailovna does not teach biology. Therefore, Sofia Petrovna must teach biology. 6. From the previous information, we can conclude that Irina Vasilyevna teaches physics.

Using this information, we can fill in the table:

| Teacher | City | Subject | |--------------------|------------|-----------| | Irina Vasilyevna | Krasnodar | Physics | | Darya Mikhailovna | Yaroslavl | | | Sofia Petrovna | | Biology |

Now, let's determine the missing information:

7. Darya Mikhailovna does not work in Vladimir, so she must work in Krasnodar. 8. The teacher who lives in Yaroslavl does not teach physics, so Darya Mikhailovna cannot teach physics. 9. Therefore, Darya Mikhailovna must teach biology.

Updating the table:

| Teacher | City | Subject | |--------------------|------------|-----------| | Irina Vasilyevna | Krasnodar | Physics | | Darya Mikhailovna | Yaroslavl | Biology | | Sofia Petrovna | | Biology |

10. Sofia Petrovna is the only teacher left, so she must live in Vladimir. 11. Therefore, Sofia Petrovna teaches chemistry.

Updating the table:

| Teacher | City | Subject | |--------------------|------------|-----------| | Irina Vasilyevna | Krasnodar | Physics | | Darya Mikhailovna | Yaroslavl | Biology | | Sofia Petrovna | Vladimir | Chemistry |

Conclusion

Based on the given information, we have determined the following:

- Irina Vasilyevna lives in Krasnodar and teaches physics. - Darya Mikhailovna lives in Yaroslavl and teaches biology. - Sofia Petrovna lives in Vladimir and teaches chemistry.

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