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

Let's assume that there were 'x' tea bags in each box.

According to the given information, Natalia used x tea bags and had enough for 41 cups of tea. This means that the number of cups of tea that one tea bag can make is either 2 or 3. Therefore, we can write the equation:

x * 2 or 3 = 41

Similarly, Inna used x tea bags and had enough for 58 cups of tea. So, we can write another equation:

x * 2 or 3 = 58

We have two equations and two variables (x and the number of cups one tea bag can make). Now we need to solve this system of equations to find the values.

Let's first consider the case where one tea bag can make 2 cups of tea: 2x = 41 x = 20.5

However, x has to be a whole number because it represents the number of tea bags in the box. Since we can't have a fraction of a tea bag, we can discard this solution.

Next, let's consider the case where one tea bag can make 3 cups of tea: 3x = 41 x = 13.67

Again, x needs to be a whole number. Discarding this solution as well.

Therefore, there is no integer solution for the number of tea bags in the box.