Question

Для украшения стульев на день рождения Сони использовали 112 розовых и 168 малиновых бантиков. Сколько стульев получилось украсить? По сколько розовых и малиновых бантиков на каждом стуле? 1 Всего стульев: шт. 2 На каждом стуле: розовых: малиновых: шт; шт.​

Answer 1

Ответ:

Пошаговое объяснение:

Задача на нахождение наибольшего общего делителя (НОД)

Числа 112 и 168 можно без остатка разделить на число 56

Это и есть число стульев. которые были украшены.

На каждом стуле по 112/56=2 розовых бантика

И по 168/56=3 малиновых бантика.

Answer 2

Answer in detail. To decorate the chairs for Sonya's birthday, they used 112 pink and 168 raspberry bows. How many chairs did they manage to decorate? How many pink and raspberry bows on each chair? 1 Total chairs: pcs. 2 On each chair: pink: raspberry: pcs; pcs.

To answer this question, we need to find the greatest common divisor (GCD) of 112 and 168, which is the largest positive integer that divides both numbers without a remainder. One way to find the GCD is to use the Euclidean algorithm, which is based on the following property: if a and b are positive integers, and a = bq + r for some integers q and r, then GCD(a, b) = GCD(b, r).

Using the Euclidean algorithm, we can find the GCD of 112 and 168 as follows:

- Divide 168 by 112 to get a quotient of 1 and a remainder of 56. That is, 168 = 112 * 1 + 56. - Divide 112 by 56 to get a quotient of 2 and a remainder of 0. That is, 112 = 56 * 2 + 0. - Since the remainder is 0, we stop the algorithm and conclude that the GCD of 112 and 168 is 56.

Now that we have the GCD, we can answer the question by dividing both numbers by the GCD. That is,

- The number of chairs they managed to decorate is 112 / 56 = 2 and 168 / 56 = 3. Therefore, the total number of chairs is 2 + 3 = 5. - The number of pink bows on each chair is 56 / 56 = 1 and the number of raspberry bows on each chair is 56 / 56 = 1. Therefore, on each chair, there are 1 pink and 1 raspberry bow.

So, the final answer is:

1 Total chairs: 5 pcs. 2 On each chair: pink: 1 pcs; raspberry: 1 pcs.