2025 SSMO Relay Round 3 Problems/Problem 1

Revision as of 11:43, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Michael, Nico, and Jackson are splitting a <math>100</math> dollar bill. Michael's favorite number is <math>3,</math> so he insists on paying a positive amount of...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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