High School

A person's weight on Earth varies in direct proportion with his or her weight on the moon. A person weighing 27.5 lb. on the moon weighs 165 lb. on Earth.

What is the weight of a person on Earth if his or her moon weight is 18 lb.?

a) 108 lb.
b) 110 lb.
c) 112 lb.
d) 114 lb.

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.