Наталя та Інна купили однакові коробки чаю в пакетиках. Відомо, що одного пакетика вистачає на 2 або 3 чашки чаю. Наталі вистачило пакетиків із коробки на 41 чашку чаю, а Інні- на 58. Скільки пакетиків чаю було у коробці? Формула

Аsume that there were 'x' tea bags in each box.

Given that:

• Natalia had enough tea bags for 41 cups of tea, which can be written as: x * 41.
• Inna had enough tea bags for 58 cups of tea, which can be written as: x * 58.

We know that one tea bag is enough for 2 or 3 cups of tea. This means that the number of tea bags in each box should be a multiple of both 2 and 3.

To find the least common multiple (LCM) of 2 and 3, we can calculate: LCM(2, 3) = (2 * 3) / gcd(2, 3), where gcd(2, 3) is the greatest common divisor of 2 and 3. In this case, gcd(2, 3) = 1, so LCM(2, 3) = 2 * 3 = 6.

Therefore, there were 6 tea bags in each box.