A map has a scale of 2cm=15km. If the distance between two cities on the map is 9cm, what is the actual distance between the cities?

Cross multiply and solve for x.

2/15 = 9/x

To find the actual distance between the cities, we can use the scale provided in the question. The scale on the map is given as 2cm = 15km.

First, we need to determine the scale factor, which represents how many actual kilometers are represented by each centimeter on the map. To do this, we can divide the number of kilometers by the number of centimeters in the scale.

Scale factor = 15km / 2cm = 7.5km/cm

Next, we can use the scale factor to convert the distance on the map (9cm) into the actual distance in kilometers.

Actual distance = Distance on map × Scale factor
= 9cm × 7.5km/cm
= 67.5km

Therefore, the actual distance between the cities is 67.5 kilometers.

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