Предмет: Математика, автор: irenlid

В маленькую коробку вмещается 12 фломастеров, а в большую 20. Какое наименьшее количество фломастеров можно упаковать только в маленькие и только в большие коробки?
Помогите пожалуйста,спасибо)

Ответы

Автор ответа: danilabolotkin17
1
Для решения данной задачи необходимо определить наименьшее общее кратное значение для 12 и 30 карандашей.
Для этого раскладываем данные значения на простые делители.
Будет:
12 / 2 = 6 / 2 = 3 / 3 = 1.
30 / 2 = 15 / 3 = 5 / 5 = 1.
Таким образом получим:
5 * 3 * 2 * 2 = 60 карандашей.
Если разложить 60 карандашей в маленькие коробки, получим:
60 / 12 = 5 коробок.
Если в большие коробки, получим:
60 / 30 = 2 коробки.
Ответ:
Наименьшее количество карандашей будет равно 60.
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