A problem with the gas-tagging scheme for identification of failed fuel assemblies in fast and light water reactors (LWRs) may arise when elements in two or more assemblies fail simultaneously. One method recently developed for resolving multiple failures can identify a second, third, or fourth leaker, provided the compositions of the tags coming from the previous leakers have already been determined. For a commercial-sized fast reactor or an LWR, it may not be possible to determine the composition of each tag individually as the failures occur This paper describes the development of an analytical technique that is capable of resolving simultaneous fuel failures and can be applied even when none of the compositions of the previously leaked tags is known.