The multiplicity of steady states of a sequence of two continuous-flow stirred tank reactors (CSTR), of which the second reactor has an additional influx, is studied. It is shown that up to nine steady states, of which four are stable, may occur in such a sequence of two CSTRs. The results can be extended to a sequence of N CSTRs with up to 3(N) steady states, of which 2(N) are stable. The transitions between different stable states are briefly discussed.