on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?

Part 1) we havethe scale is [tex]1:100,000[/tex]the distance on a map is [tex]12\ cm[/tex]we know thatThe scale is equal to the distance on a map divided by the real distance Letx------> distance on a mapy-------> real distanceS-------> scale[tex]S=\frac{x}{y}[/tex]In this part we have[tex]S=\frac{1}{100,000}[/tex][tex]x=12\ cm[/tex]   Find the value of y[tex]y=\frac{x}{S}[/tex]Substitute the values[tex]y=\frac{12}{(1/100,000)}[/tex][tex]y=1,200,000\ cm[/tex]Convert to kilometers[tex]y=12\ Km[/tex]Part 2) In this part we have[tex]S=\frac{1}{300,000}[/tex][tex]y=12\ km[/tex]   Find the value of x[tex]x=S*y[/tex]Substitute the values[tex]x=(1/300,000)*12[/tex][tex]x=0.00004 Km[/tex]Convert to centimeters[tex]x=4\ cm[/tex]thereforethe answer isThe distance is [tex]4\ cm[/tex]