Finding the center of gravity & mass by torque?

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SUMMARY

This discussion focuses on solving a torque problem involving a meter stick pivoted at the 50-cm mark, with weights of 150 g and 200 g placed at the 10-cm and 75-cm marks, respectively. The objective is to determine the mass of the stick and its center of gravity. When the weights are interchanged, the pivot point shifts to the 43-cm mark, indicating a change in the balance point due to the distribution of mass. The solution requires applying the principles of torque and equilibrium to find the unknowns.

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garfiegrl
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I don't know how to do these kinds of problems; I just need an example of one, could someone just work it out with an explanation?
Feel free to change the values or whatever.
This particular problem isn't to turn in, I'm studying for a test on this material.

A meter stick is pivoted the 50-cm mark but does not balance because of nonconformities in material.
150 g and 200 g weights ar placed at the 10-cm and 75-cm marks to balance the meterstick.
When the weights are interchange, the pivot point is at the 43-cm mark.
find the mass of the stick and the center of gravity.
 
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