Question

A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon? A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon? Item 22 A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon?

Answer 1

i believe the answer is
15.5
if its wrong sorry

Answer 2

The relationship between the weight of a person on Earth and the

person's weight on the Moon is a  proportional relationship.

• The weight of a 93 pounds person on the Moon is 15.5 pounds.

Reasons:

The weight of the person on Earth = 120 pounds

Weight of the person on the Moon = 20 pounds

Required:

The weight of a person that weighs 93 pounds on Earth on the Moon

Solution:

Let x represent the factor (acceleration due to gravity) on Earth, let y

represent the factor on the Moon, and let m, represent the mass of the

person, we have;

x·m = 120

y·m = 20

Therefore;

$\displaystyle \mathbf{\frac{x \cdot m}{y \cdot m}} = \mathrm{\frac{x}{y} } = \frac{120}{20} = 6$

For the person that weighs 93 pounds on Earth, we have;

$\displaystyle \mathrm{\frac{x}{y} } = \mathbf{\frac{93}{Weight \ on \ the \ Moon}} = 6$

Which gives;

$\displaystyle Weight \ of\ the \ person\ on \ the\ Moon = \frac{93}{6} = 15.5$

The weight of the person on the Moon = 15.5 pounds

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