Answer
The identity of the metal in the bracelet is 100% silver.
Work Step by Step
1. First we must find the volume of the bracelet. This is done by subtracting the starting 10.0 mL from the final 17.61 mL.
17.61 mL - 10.0 mL = 7.61 mL
2. Then, we must make the conversion from $\frac{g}{mL}$ to $\frac{g}{cm^{3}}$. Note, 1 mL = 1 $cm^{3}$.
($\frac{80.0 g}{7.61 mL}$)($\frac{1 mL}{1 cm^{3}}$) = 10.5 $\frac{g}{cm^{3}}$
Note, we are keeping with the 3 significant figures stated in the problem.
