Question

A meter stick is found to balance at the 47.3cm mark when placed on a fulcrum. When a 45.7g mass is attached at the 10.5cm mark, the fulcrum must be moved to the 38.5cm mark for balance. What is the mass of the meter stick?
The mass of meter stick= 151.77g but with 3 sig figs it's roughly 152grams

(47.7g)*(38.5cm-10.5cm)=(47.3cm-38.5cm)*(Mass of meter stick)

Simple algebra given the information, hope this helps!

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