SOLUTION: A model of a park was built on a scale of 1.5 centimeters to 50 meters. if the distance between two trees in the park is 150 meters, what is the distance on the model?

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Question 549718: A model of a park was built on a scale of 1.5 centimeters to 50 meters. if the distance between two trees in the park is 150 meters, what is the distance on the model?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
ratio is 1.5 cm to 50 m
your ratio is:
1.5 / 50 = x / 150
cross multiply to get:
50x = (1.5)(150)
divide both sides by 50 to get:
x = (1.5)(150)/(50) which becomes:
x = 1.5 * 3 which becomes:
x = 4.5
150 meters equals 4.5 centimeters in the model.
you can also look at it as a meters per centimeter type of problem.
if 1.5 centimeters equals 50 meters, then the meters per centimeter equation gives you 50 / 1.5 = 33 and 1/3 meters in real life per 1 centimeter in the model.
since there is 150 meters in real life, then you divide 150 by 33 and 1/3 to get 4.5 which is the number of centimeters in the model.