Question

Как решить задачу по информатике? В салоне небольшого самолёта летят 42 пассажира. Некоторые из них москвичи, остальные иногородние. Среди москвичей 9 мужчин. Некоторые из пассажиров артисты, но не одна из иногородних женщин не является артисткой. Всего иногородних мужчин 18. Из них 13- не артисты. Среди пассажиров, не являющихся артистами, 16 мужчин и 11 женщин. Разберитесь, пожалуйста, с пассажирами: кто есть кто?

Answer 1

Москвичей женщин 7 из них 4 артистки, мужчин 9, 6 - артисты
иногородних женщин 8, а мужчин 18 из них 5 артисты .

Мне так кажется.

Answer 2

Problem Analysis

To solve this problem, we need to determine the gender and occupation (artist or non-artist) of each passenger based on the given information. Let's break down the information provided:

- There are 42 passengers in total. - Some passengers are from Moscow, while others are from out of town. - Among the passengers from Moscow, 9 are men. - None of the out-of-town women are artists. - There are a total of 18 out-of-town men. - Among the out-of-town men, 13 are not artists. - Among the passengers who are not artists, there are 16 men and 11 women.

Solution

Let's start by organizing the given information into a table to make it easier to analyze:

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | ? | ? | ? | | Out-of-Town | 18 | ? | ? | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | ? |

Now, let's fill in the missing information step by step:

1. We know that there are 42 passengers in total, so the sum of all the cells in the table should be 42.

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | ? | ? | ? | | Out-of-Town | 18 | ? | ? | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | 42 |

2. Among the passengers from Moscow, 9 are men. Since we don't know the number of women from Moscow, we can subtract 9 from the total number of passengers from Moscow to find the number of women from Moscow: 42 - 9 = 33.

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | 33 | ? | ? | | Out-of-Town | 18 | ? | ? | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | 42 |

3. None of the out-of-town women are artists. This means that all the out-of-town women fall into the "Non-Artists" category. Therefore, the number of out-of-town women who are non-artists is equal to the total number of out-of-town women: ? = ?.

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | 33 | ? | ? | | Out-of-Town | 18 | ? | ? | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | 42 |

4. There are a total of 18 out-of-town men. Among them, 13 are not artists. This means that the remaining 5 out-of-town men are artists: ? = 5.

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | 33 | ? | ? | | Out-of-Town | 18 | ? | 5 | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | 42 |

5. Among the passengers who are not artists, there are 16 men and 11 women. This means that the remaining non-artist men are 16 - 5 = 11, and the remaining non-artist women are 11 - 11 = 0.

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | 33 | ? | ? | | Out-of-Town | 18 | ? | 5 | ? | | Not Artists | 16 | 11 | ? | ? | | Total | ? | ? | ? | 42 |

Now, let's fill in the remaining cells:

| | Men | Women | Artists | Non-Artists | |---------------|-----|-------|---------|-------------| | Moscow | 9 | 33 | 4 | 29 | | Out-of-Town | 18 | 0 | 5 | 13 | | Not Artists | 16 | 11 | 0 | 27 | | Total | 43 | 44 | 9 | 69 |

Conclusion

Based on the given information, we can conclude the following:

- There are a total of 43 men and 44 women. - There are 9 artists and 69 non-artists. - Among the passengers from Moscow, there are 9 men, 33 women, 4 artists, and 29 non-artists. - Among the out-of-town passengers, there are 18 men, 0 women, 5 artists, and 13 non-artists. - Among the passengers who are not artists, there are 16 men and 11 women.

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