392 miles
Explanation
Step 1
Hence
you can solve this by using a rule of three
Let x represents the real distance between the cities(blue line), then the proportion is the same
[tex]\begin{gathered} 1\text{ cm }\Rightarrow56\text{ miles} \\ \text{then} \\ 7\text{ cm= x miles} \\ \frac{56\text{ miles}}{1\text{ cm }}=\frac{x\text{ miles}}{7\text{ cm}} \\ x=7\cdot56\text{ miles} \\ x=392\text{ miles} \end{gathered}[/tex]another easy way to understand this, is
if
[tex]\begin{gathered} 1\text{ cm= 56 miles} \\ \text{then},\text{ multiplying both sides by 7} \\ 7\cdot1\text{ cm}=7\cdot56\text{ miles} \\ 7\text{ cm=392 miles} \end{gathered}[/tex]I hope this helps you
