On the map

A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map?

Correct answer:

M =  50000

Step-by-step explanation:

$$\begin{gathered} a=1.5\text{ km}\to \text{ m}=1.5\cdot 1000\text{ m}=1500\text{ m } \\ b=3\text{ cm}\to \text{ m}=3\mathrm{/}100\text{ m}=0.03\text{ m } \\ M={\displaystyle \frac{a}{b}}={\displaystyle \frac{1500}{0.03}}=50000 \end{gathered}$$

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