Tim plays the cello in the Winchester Symphony Orchestra. On a map, the distance between the practice facility and the site of the orchestra's next performance is 12 centimeters. The map uses a scale of 3 centimeters = 5 kilometers. What is the actual distance between the practice facility and the site of the performance?
To find the actual distance between the practice facility and the site of the performance, we need to use the scale on the map.
The scale on the map is 3 centimeters = 5 kilometers.
The distance on the map is given as 12 centimeters.
To find the actual distance, we can set up a proportion:
3 centimeters / 5 kilometers = 12 centimeters / x kilometers
Cross-multiplying, we get:
3 * x = 12 * 5
3x = 60
Dividing both sides by 3, we get:
x = 20
Therefore, the actual distance between the practice facility and the site of the performance is 20 kilometers.