Question

На новогоднем утреннике танцевали в парах мальчик+девочка 5 девочек и 5 мальчиков. После утренника дети сказали, что участвовали в 7, 7, 5, 8, 6, 6, 9, 8, 9, 10 танцах. Докажите, что кто-то ошибся.

Answer 1

6и6,7и7,8и89
Остаётся 10 и 5 значит кто то ошибся

Answer 2

Если они танцуют парами значит мальчик и девочка из 1 пары танцуют одинаковое количество номеров .
7и7. 8и8. 6и6. 9и9
Остаётся только 5 и 10
Значит кто-то из этой пары ошибся

Answer 3

Analysis of the Situation

In this scenario, there were 5 girls and 5 boys who participated in a dance at a New Year's morning event. After the event, the children reported that they participated in 7, 7, 5, 8, 6, 6, 9, 8, 9, and 10 dances. We need to determine if someone made a mistake in their count.

Evaluating the Dance Counts

To determine if someone made a mistake in their count, we can add up the number of dances reported by each child and compare it to the total number of dances performed. If the total number of dances reported by the children is different from the actual number of dances performed, then someone must have made a mistake.

Let's calculate the total number of dances reported by the children:

7 + 7 + 5 + 8 + 6 + 6 + 9 + 8 + 9 + 10 = 75

According to the children, they participated in a total of 75 dances.

Comparing the Total Dances Reported to the Actual Number of Dances

To determine if someone made a mistake, we need to know the actual number of dances performed. Unfortunately, the actual number of dances is not provided in the question. Without this information, we cannot definitively prove if someone made a mistake in their count.

Conclusion

Based on the information provided, we cannot prove or disprove if someone made a mistake in their count of the dances. To determine if there was an error, we would need to know the actual number of dances performed.