SOLUTION: The scale on a map is 2 cm to 5 km. Kern and Dent are 16 km apart. How far apart are they on the map? Please explain and solve.

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Question 5083: The scale on a map is 2 cm to 5 km. Kern and Dent are 16 km apart. How far apart are they on the map? Please explain and solve.
Answer by rapaljer(4667) About Me  (Show Source):
You can put this solution on YOUR website!
Set up a ratio in one of several different ways:
Let x = distance apart on the map

+%28map+cm%29%2F%28real+km%29+=+%28map+cm%29%2F%28real+km%29
%282+cm%29%2F%285+km%29+=+%28x+cm%29%2F%2816+km%29

Remember that a%2Fb=+c%2Fd means that ad=+bc.

In the same way:
%282+cm%29%2F%285+km%29+=+%28x+cm%29%2F%2816+km%29 means that 2%2A+16+=+5%2Ax

So,
5x+=+32
+x=+32%2F5 cm.

R^2 at SCC