Question

Weight of an object on Earth varies directly as the weight of the same object on the Moon. An object weighing 300 lbs on Earth weighs 48 lbs on the Moon. If an object weighs 65 lbs on Earth, then it will weigh lbs on Moon.

Answer 1

Let weight of an object on the Earth is $E$ and on the Moon is $M$.
Given that $E\propto M$
$\Rightarrow E=k\times M$
$\Rightarrow 300$ lbs $=k\times 48$ lbs
$\Rightarrow k=\frac{300}{48}$

$\Rightarrow \frac{E}{M}=\frac{300}{48}$

If $E=65$ lbs then

$\frac{65}{M}=\frac{300}{48}$

$\Rightarrow M=\frac{48}{300}\times 65=10.4\text{lbs}$