Question

The actual distance between two villages is 120 km. On a map of the area, 0.5 cm represents 2 km. What is the actual distance between the villages on the map?

Answer 1

If .5cm is 2km, then 1 cm is 4 km, and therefore 120/4 is 30, so 30 centimeters on the map

Answer 2

On the map, the distance between the villages is 30 cm.
Since .5 cm represents 2 km, each cm on the map represents 4 km in actual distance, so to find the distance on the map, you divide 120 by 4 and you get 30.
An alternative way to think of it is to set up a proportion.
First, you would do .5/2 equals x/120
Next, you would cross multiply and get 2x equals 60
Then, you would solve and get x equals 30
Your answer is 30 cm