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QUESTION

An object that weighs one pound on the moon will weigh about 6.02 pounds on Earth. Suppose a moon rock weighs 11 pounds on the moon. How much will the same rock weigh on Earth?

##11/6.02=1.83 pounds##

To tackle a problem like this we first have to realize that the ratios of weight on thee moon vs weight on earth will remain the same. Earth's and the moon's gravity does not change, or at least it does not in the bounds of this question. So therefore we can assume that the ratio between the weights will also stay the same. From here we can create this equality: (ignore the infinity sign, just my lack of formatting skills)

##(moonweight)/(earth weight)= 6.02/1=11/x##

x is going to be the weight we want to solve for, aka the weight of the 11 pound rock on earth. we solve for x by dividing both sides by 11 and taking the inverse of both sides

##6.02/1xx1/11=1/x## ##rArr## ##11/6.02=x=1.83pounds##

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