Answer :
Final answer:
The weight of a person on Earth with a moon weight of 18 lb. is calculated using direct proportion, yielding a result of 108 lb.
Explanation:
To calculate the weight of a person on Earth based on their weight on the moon, we use the given direct proportion: a person weighing 27.5 lb. on the moon weighs 165 lb. on Earth. We can set up a ratio to find the Earth weight (E) of a person whose moon weight (M) is 18 lb.:
27.5 lb. moon : 165 lb. earth = 18 lb. moon : E lb. earth
By cross-multiplying we have:
27.5 * E = 165 * 18
E = (165 * 18) / 27.5
E = 108 lb.
Therefore, the weight of a person on Earth if his or her moon weight is 18 lb. is 108 lb.