Let's assume that both Natalia and Inna bought x packets of tea each.
We know that one packet of tea is enough for 2 or 3 cups of tea.
Natalia used x packets of tea, and it was enough for 41 cups of tea. This can be represented as:
x * (2 or 3) = 41
Similarly, Inna used x packets of tea, and it was enough for 58 cups of tea. This can be represented as:
x * (2 or 3) = 58
Now, let's solve these equations to find the value of x, which represents the number of tea packets in each box.
From the first equation, we get:
2x = 41 x = 41 / 2 x = 20.5
From the second equation, we get:
3x = 58 x = 58 / 3 x ≈ 19.33
Since we cannot have a fraction of a tea packet, we round down the values of x to find the number of tea packets in each box:
For Natalia: x ≈ 20 For Inna: x ≈ 19
Therefore, there were approximately 20 tea packets in each box.
