2 [ Arithmetic. Mental calculation, etc. $\quad]$

One tea bag can brew two or three cups of tea. Milla and Tanya divided a box of tea bags equally. Milla brewed 57 cups of tea, and Tanya - 83 cups. How many tea bags could have been in the box?
Note: To brew 57 glasses, you need to have no less than $57: 3$ and no more than $57: 2$ tea bags.

## Solution

Mila brewed 57 glasses, which means she had no more than $57: 2=28.5$ tea bags. Tanya brewed 83 glasses, so she had no less than

$83: 3$ = 272/3 tea bags. Since the number of tea bags was the same (and an integer), the only

possibility is that each girl had 28 tea bags.

## Answer

56 tea bags.