Question

На уроке арифметики у детей спросили, сколько суммарно ног может быть у одной курицы, шести собак и семи одинаковых неведомых зверюшек. Кто-то из детей ответил верно, а кто-то — неверно. Аня ответила 48, Боря — 55, Вася — 68, Гена — 80, Дима — 89. Какие из этих пяти ответов могли оказаться верными? Укажите все возможные числа из 48, 55, 68, 80 и 89. Напоминание: у курицы 2 ноги, а у собаки — 4.

Answer 1

Ответ:

см ниже

Пошаговое объяснение:

посчитаем количество ног у известных нам животных.

курица 2 ноги + 6 собак по 4 ноги = 26 ног

у нас осталось 7 одинаковых зверюшек. у них равное количество ног ( у каждой), значит число в остатке должно делиться на 7

48-26 = 22 нет.

55-26=29 нет

68-26=42 да

80-26=54 нет

89-26= 63 да

значит возможные варианты 68 и 89

Answer 2

Question Analysis

The question asks how many total legs there can be on one chicken, six dogs, and seven unknown creatures. The answers given by the children are 48, 55, 68, 80, and 89. We need to determine which of these answers could be correct.

Solution

To find the total number of legs, we need to multiply the number of each animal by the number of legs each animal has.

- A chicken has 2 legs. - A dog has 4 legs. - The unknown creatures have an unknown number of legs.

Let's calculate the total number of legs for each answer:

1. An answer of 48: If we assume all the unknown creatures have 0 legs, the total number of legs would be 2 (chicken) + 6 * 4 (dogs) + 0 (unknown creatures) = 26 legs. This answer is incorrect.

2. An answer of 55: If we assume all the unknown creatures have 1 leg each, the total number of legs would be 2 (chicken) + 6 * 4 (dogs) + 7 (unknown creatures) = 33 legs. This answer is incorrect.

3. An answer of 68: If we assume all the unknown creatures have 2 legs each, the total number of legs would be 2 (chicken) + 6 * 4 (dogs) + 7 * 2 (unknown creatures) = 54 legs. This answer is incorrect.

4. An answer of 80: If we assume all the unknown creatures have 3 legs each, the total number of legs would be 2 (chicken) + 6 * 4 (dogs) + 7 * 3 (unknown creatures) = 74 legs. This answer is incorrect.

5. An answer of 89: If we assume all the unknown creatures have 4 legs each, the total number of legs would be 2 (chicken) + 6 * 4 (dogs) + 7 * 4 (unknown creatures) = 90 legs. This answer is correct.

Therefore, the only possible correct answer is 89.

Conclusion

Out of the given answers (48, 55, 68, 80, and 89), the only possible correct answer is 89.