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The relative abundance of the three decay modes $B_d \to D^- K^+$, $B_d \toD^- \pi^+$ and $B_s \to D_s^- \pi^+$ produced in 7 TeV $pp$ collisions at theLHC is determined from data corresponding to an integrated luminosity of 35pb$^{-1}$. The branching fraction of $B_d \to D^- K^+$ is found to be $\cal B(B_d \to D^- K^+) = (2.01 \pm 0.18^{\textrm{stat}} \pm0.14^{\textrm{syst}})\times 10^{-4}$. The ratio of fragmentation fractions\fsfdt is determined through the relative abundance of $B_s \to D_s^- \pi^+$ to$B_d \to D^- K^+$ and $B_d \to D^-\pi^+$, leading to $f_s/f_d = 0.253 \pm 0.017\pm 0.017 \pm 0.020$, where the uncertainties are statistical, systematic, andtheoretical respectively.

Determination of f_s/f_d for 7 TeV pp collisions and a measurement of the branching fraction of the decay Bd->D-K+