A method for attaching a race-number bib having two spaced-apart holes to a race-number belt having a belt component with two spaced-apart snap-fastener subassemblies includes the step of providing two retrofitting cord-fastener assemblies such that each cord-fastener assembly has a cord with a mating snap-fastener subassembly on its proximal end. The method proceeds by snapping (i.e., attaching) the two mating snap-fastener subassemblies into engagement of the two snap-fastener subassemblies on the belt component, threading the distal ends of the cords through the holes in the race-number bib, and placing locking components onto the cords to secure the bib. A race-number belt constructed according to another aspect of the invention includes both snap-fastener assemblies and bib-attaching cords, with the proximal ends of the cords secured by the snap-fastener assemblies.