An object that weighs about 2.1 pounds on the moon weighed 12.56 pounds on Earth. About how much would an astronaut who weighs 174 pounds on Earth weigh on the moon?
MW/174=2.1/12.56
To find out how much an astronaut who weighs 174 pounds on Earth would weigh on the moon, we can use the concept of proportions.
First, we need to determine the ratio of weight on the moon to weight on Earth.
The weight of the object on the moon (2.1 pounds) is to the weight of the object on Earth (12.56 pounds) as the weight of the astronaut on the moon (unknown) is to the weight of the astronaut on Earth (174 pounds).
This can be written as:
2.1 pounds / 12.56 pounds = x / 174 pounds
To find x, we cross multiply and solve for x:
2.1 pounds * 174 pounds = 12.56 pounds * x
365.4 pounds = 12.56 pounds * x
x = 29.11 pounds
Therefore, an astronaut who weighs 174 pounds on Earth would weigh approximately 29.11 pounds on the moon.