Question
Stanley is a house painter. He receives a call from a potential customer who lives in a different city. The distance on a map between his business and the customer's house is 9 centimeters. The map uses a scale of 3 centimeters = 7 kilometers. What is the actual distance between Stanley's place of business and the customer's house?
Answers
Answered by
GPT 3.5
To find the actual distance, we need to convert the distance on the map to the actual distance using the scale given.
The scale is 3 centimeters = 7 kilometers.
Dividing both sides of the scale by 3, we get 1 centimeter = 7/3 kilometers.
Multiplying the distance on the map by this conversion factor, we have:
9 centimeters * (7/3 kilometers / 1 centimeter) = (9 * 7) / 3 kilometers = 63/3 kilometers = <<9*(7/3)=21>>21 kilometers.
Therefore, the actual distance between Stanley's business and the customer's house is 21 kilometers.
The scale is 3 centimeters = 7 kilometers.
Dividing both sides of the scale by 3, we get 1 centimeter = 7/3 kilometers.
Multiplying the distance on the map by this conversion factor, we have:
9 centimeters * (7/3 kilometers / 1 centimeter) = (9 * 7) / 3 kilometers = 63/3 kilometers = <<9*(7/3)=21>>21 kilometers.
Therefore, the actual distance between Stanley's business and the customer's house is 21 kilometers.