The scale on a map is 5cm : 8km. If the distance between two cities is 56 km, how far apart in cm are the two cities on the map

Answer:35 cmStep-by-step explanation:We are given the scale on a map is:[tex]5\text{ cm }:8\text{ km }[/tex].We are also asked to find [tex]x[/tex] such that:[tex]frac{x\text{ cm }:56\text{ km }[/tex].So I purposely put [tex]x[/tex] on top because the centimeters were on top in the previous fraction.I purposely put [tex]56[/tex] on bottom because the kilometers were on bottom in previous fraction.So this tells us how to setup the proportional that we need to solve which is:[tex]\frac{5}{8}=\frac{x}{56}[/tex]Multiply both sides by 56:[tex]\frac{5}{8} \cdot 56=x[/tex]Input left hand side into calculator or do it with your brain:[tex]5 \cdot \frac{56}{8}=x[/tex][tex]5 \cdot 7=x[/tex][tex]35=x[/tex]So the answer is 35 cm.