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 say the number of tea bags in the box is x.

According to the given information, Natalia used x tea bags for 41 cups of tea, and Inna used x tea bags for 58 cups of tea.

Since each tea bag can make either 2 or 3 cups of tea, we can write the equation:

2x or 3x = 41 (for Natalia) 2x or 3x = 58 (for Inna)

To find the number of tea bags, we need to find the common value of x that satisfies both equations.

We can solve this problem by trial and error or by finding the least common multiple (LCM) of 2 and 3, which is 6.

Now, let's substitute the value of x as 6 into the equations:

26 = 12 36 = 18

Neither 12 nor 18 equals 41 or 58, so the value of x is not 6.

Let's try another value of x:

212 = 24 312 = 36

Now, we have a value that satisfies one of the equations: 36 = 58 (for Inna)

But 24 is still not equal to 41.

Let's try another value:

218 = 36 318 = 54

Now, we have a value that satisfies both equations: 36 = 41 (for Natalia) 54 = 58 (for Inna)

Therefore, there were 18 tea bags in the box.