Let's assume that Natalia and Inna each bought x packets of tea in their respective boxes.
We know that each packet of tea is enough for 2 or 3 cups of tea. Let's consider the worst case scenario and assume that each packet is enough for only 2 cups of tea.
So, Natalia used a total of x packets of tea, which means she made 2x cups of tea. We're given that the number of cups of tea she made is 41, so we can write the equation 2x = 41.
Similarly, Inna used x packets of tea, which made 2x cups of tea. We're given that the number of cups of tea she made is 58, so we can write the equation 2x = 58.
Now, let's simplify these equations and solve for x:
2x = 41 x = 41/2 x = 20.5
We can see that x cannot be a decimal number, so this is not a valid solution.
Next, let's solve the equation for Inna:
2x = 58 x = 58/2 x = 29
So, there were 29 tea packets in the box.
