By the half-life of radioactive, the remaining mass of radioactive elements is 4.42 grams.
We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation
N = No(1/2)^(t/t'')
where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.
From the question above, we know that
t'' = 10 years
No = 200 g
t = 55 years
Calculate the remaining mass
N = No(1/2)^(t/t'')
N = 200(1/2)^(55/10)
N = 4.42 grams
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