2025 SSMO Relay Round 3 Problems/Problem 1

Problem

Michael, Nico, and Jackson are splitting a $100$ dollar bill. Michael's favorite number is $3,$ so he insists on paying a positive amount of dollars that is a multiple of $3$. Nico and Jackson are both scared of even numbers, so they each insist on paying an odd number of dollars. In how many ways can they pay the bill?

Solution