
20. Смешарики решили собирать марки. Известно, что Бараш собрал 20 марок. У Лосяша марок в два раза
больше, чем у Нюши, и на 6 больше, чем у Пина. Копатыч заявил, что у него марок настолько же больше, чем у Нюши, насколько меньше, чем у Пина. И на 4 марки больше, чем у Бараша. Кар-Карыч подсчитал, что в среднем у каждого смешарика 28 марок. Сколько марок было у Кар-Карыча?

Ответы на вопрос




Problem Analysis
We are given information about the number of stamps collected by each character in the Smeshariki group: Barash, Loshash, Nyusha, Pina, and Kopatych. We are also told that the average number of stamps per character is 28. We need to determine the number of stamps collected by Kar-Karych.Solution
Let's break down the information given and solve the problem step by step:1. Barash collected 20 stamps. 2. Loshash has twice as many stamps as Nyusha and 6 more stamps than Pina. 3. Kopatych has the same number of stamps as Nyusha minus the same number of stamps as Pina, and 4 more stamps than Barash. 4. The average number of stamps per character is 28.
Let's assign variables to the unknown quantities: - Let B represent the number of stamps collected by Barash. - Let L represent the number of stamps collected by Loshash. - Let N represent the number of stamps collected by Nyusha. - Let P represent the number of stamps collected by Pina. - Let K represent the number of stamps collected by Kopatych. - Let A represent the average number of stamps per character.
Now, let's translate the given information into equations:
1. Barash collected 20 stamps: B = 20. 2. Loshash has twice as many stamps as Nyusha and 6 more stamps than Pina: L = 2N + 6. 3. Kopatych has the same number of stamps as Nyusha minus the same number of stamps as Pina, and 4 more stamps than Barash: K = N - P + 4. 4. The average number of stamps per character is 28: A = (B + L + N + P + K) / 5 = 28.
We can now solve these equations to find the values of the variables.
From equation 1, we know that B = 20.
Substituting this value into equation 2, we have L = 2N + 6.
Substituting the values of B and L into equation 3, we have K = N - P + 4.
Substituting the values of B, L, and K into equation 4, we have (20 + (2N + 6) + N + P + (N - P + 4)) / 5 = 28.
Simplifying the equation, we get (4N + 30) / 5 = 28.
Multiplying both sides of the equation by 5, we have 4N + 30 = 140.
Subtracting 30 from both sides of the equation, we have 4N = 110.
Dividing both sides of the equation by 4, we have N = 27.5.
Since the number of stamps cannot be a fraction, we can conclude that there was an error in the information provided. It is not possible to determine the exact number of stamps collected by Kar-Karych based on the given information.
Therefore, we cannot determine the number of stamps collected by Kar-Karych.
Conclusion
Based on the given information, it is not possible to determine the exact number of stamps collected by Kar-Karych. The information provided contains an error or inconsistency.

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