The active ingredients in a particular antacid tablet are aluminum hydroxide,
\(\mathrm{Al}(\mathrm{OH})_{3},\) and magnesium hydroxide,
\(\mathrm{Mg}(\mathrm{OH})_{2} . \quad \mathrm{A} 5.00 \times 10^{2}
\mathrm{mg}\) sample of the active ingredients was dissolved in \(50.0
\mathrm{mL}\) of \(0.500 \mathrm{M} \mathrm{HCl} .\) The resulting solution,
which was still acidic, required \(16.5 \mathrm{mL}\) of \(0.377 \mathrm{M}
\mathrm{NaOH}\) for neutralization. What are the mass percentages of
\(\mathrm{Al}(\mathrm{OH})_{3}\) and \(\mathrm{Mg}(\mathrm{OH})_{2}\) in the
sample?