Final answer:
A person would weigh more on Io compared to the Moon. This is determined by comparing the weight ratios for each moon relative to Earth. The ratio for Io is larger than that of the Moon, indicating a higher weight on Io for the same person.
Step-by-step explanation:
To determine which moon will make a person weigh the most, we can compare the ratios of weight reduction from Earth to each moon. A person who weighs 120 lb on Earth weighs 20 lb on the Moon, which gives us a weight ratio of 20/120 or 1/6. Similarly, a 150 lb person weighs 28 lb on Io, Jupiter's moon, yielding a weight ratio of 28/150 or roughly 1/5.36.
Since 1/5.36 is a larger fraction than 1/6, a person would weigh more on Io relative to their Earth weight. Therefore, Io is the moon that makes a person weigh the most compared to the Earth's Moon.
Mass is a measure of the amount of matter in an object, which does not change with location. Weight, on the other hand, is the force exerted by gravity on that mass. If you weigh 180 pounds on Earth, your weight on the Moon would be calculated by multiplying your Earth weight by the moon's gravity ratio which is 1/6, giving you a weight of 30 pounds on the Moon.