We derive an expression for the specific entropy S/NB in a non-interacting, non-relativistic Boltzmann gas mixture in terms of strange particle ratios like N~/NA, Ng/NK, NK/NA and NA/NN. Then we investigate the influence of relativistic and quantum statistical effects and the role of hadronic interactions on reconstructing the specific entropy from the particle ratios. Since negleetion of the relativistic effects causes the largest corrections, we include them in an improved expression. The resulting formula gives the specific entropy from the observed particle ratios with less than 20% error.