Предмет: Математика, автор: Ta0Die

100Б.
В магазин привезли апельсины. Сначала их хотели разложить в упаковки, по 7 штук в каждую, но тогда осталось бы два лишних апельсина.
Продавец разложил апельсины в упаковки, по 11 штук в каждую, и один лишний апельсин взял для витрины.
Сколько апельсинов в магазине, если их больше 140, но меньше 200 штук?
(Напишите это в тетради и сфоткайте)

Приложения:

Ответы

Автор ответа: iramazurk

Ответ:

177 апельсинов

Пошаговое объяснение:

Нужно найти число, которое при делении на 7 даёт остаток 2, а при делении на 11 — даёт остаток 1 .

Вычтем этот апельсин, который продавец взял для витрины.

Сейчас это число будет делиться на 11 без остатка, а при делении на 7 будет давать остаток 1.

Найдем числа кратные 11, которые больше 140, но меньше 200:

143; 154; 165; 176; 187 и 198.

Теперь нужно найти числа от 140 до 200, которые при делении на 7, дают остаток 1:

141; 148; 155; 162; 169; 176; 183; 190 и 197

Видим, что число 176 встречается в двух случаях.

Значит всего было апельсинов: 176 + 1 (апельсин который забрал продавец для витрины) = 177 апельсинов

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