# Future IMO

**Number Theory**Level 4

At International Mathematical Olympiad 2050, there are \(8.77\%\) of contestants win gold medal, \(15.41\%\) of contestants win silver medal, and \(26.05\%\) of contestants win bronze medal. Determine the minimum number of contestants?

**Details and assumptions**:

Any statistical index is rounded to two decimal places. For example, there are \(157\) contestants and \(13\) of them are awarded gold medal, we can say that “there are \(8.28\%\) of contestants win gold medal” (since \(\dfrac{13}{157}\approx 0.0828\))