The heights

The heights of some dogs are shown in the table. (1 cm = 10 mm)

Dog	Height
Sam	280 mm
Charlie	56 cm
Gus	81.3 cm
Buster	635 mm
Max	38 cm
Duke	61 cm

Which list shows the heights of the dogs from tallest to shortest?

A. Max, Charlie, Duke, Gus, Sam, Buster
B. Sam, Max, Charlie, Duke, Buster, Gus
C. Buster, Sam, Gus, Duke, Charlie, Max
D. Gus, Buster, Duke, Charlie, Max, Sam

Result

x = (Correct answer is: D)

Step-by-step explanation:

$$\begin{gathered} S=280\text{ mm}\to \text{ cm}=280\mathrm{/}10\text{ cm}=28\text{ cm } \\ C=56\text{ cm } \\ G=81.3\text{ cm } \\ B=635\text{ mm}\to \text{ cm}=635\mathrm{/}10\text{ cm}=63.5\text{ cm } \\ M=38\text{ cm } \\ D=61\text{ cm } \\ m=max(S,C,G,B,M,D)=max(28,56,81.3,63.5,38,61)={\displaystyle \frac{813}{10}}=81\frac{3}{10}=81.3\text{ cm } \\ G>B>D>C>M>S \\ x=D \end{gathered}$$

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