Answer
${W_{moon}}=17 N$
Work Step by Step
We can find the weight of an object on the moon surface using the equation:
$\frac{W_{moon}}{W_{earth}}=\frac{g^\prime}{g}$...eq(1)
where $W_{moon}$ is the weight of the object on the
moon ,$W_{earth}$ is the weight of the object on the earth and $g^\prime$ and $g$ are acceleration due to gravity on moon and earth respectively.
We know that $g^\prime=1.67\frac{m}{s^2}$ and $g=9.8\frac{m}{s^2}$.
Putting values in eq(1) and solving:
$\frac{W_{moon}}{100}=\frac{1.67}{9.8}$
${W_{moon}}=100\times\frac{1.67}{9.8}$
${W_{moon}}=17 N$