SOLUTION: The scale of a map is 1:2,000,000. If two cities are 4 cm apart on this map, how many km apart are they really?

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Question 951163: The scale of a map is 1:2,000,000. If two cities are 4 cm apart on this map, how many km apart are they really?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
convert cm to km
[ cm ] x [ m/cm ] x [ km/m ] = [ km ]
+4%2A%28+1%2F100+%29%2A%28+1%2F1000+%29+=+4%2A10%5E%28-5%29+ km
-------------------
Let +x+ = distance apart of the cities in km
Set up the ratio:
+1+%2F+%28+2%2A10%5E6+%29+=+%28+4%2A10%5E%28-5%29+%29+%2F+x+
Multiply both sides by +x%2A%28+2%2A10%5E6+%29+
+x+=+%28+2%2A10%5E6+%29%2A%28+4%2A10%5E-5+%29+
+x+=+80+
The cities are 80 km apart