Your weight on Mars varies directly with your weight on Earth. A person weighing 125 lbs on Earth weights 47.25 lbs on Mars, since Mars has less gravity. If you weigh 155 lbs on Earth, how much will you weigh on Mars?

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Answer 1 · 2017-02-12T14:37:22

If you weight 155 lbs on Earth you would weigh 58.59 lbs on Mars

We can right this as a ratio: (weight on Mars)/(weight on Earth)

Let's call the weight on Mars we are looking for $w$ $w$ . We can now write:

$\frac{47.25}{125} = \frac{w}{155}$ $47.25/125 = w/155$

We can now solve for $w$ $w$ by multiplying each side of the equation by $155$ $color(red)(155)$

$155 \times \frac{47.25}{125} = 155 \times \frac{w}{155}$ $color(red)(155) xx 47.25/125 = color(red)(155) xx w/155$

$7323.75/125 = cancel(color(red)(155)) xx w/color(red)(cancel(color(black)(155)))$

$58.59 = w$

$w = 58.59$