\(n_{Mg\left(OH\right)_2}=a\left(mol\right)\)
\(n_{Fe\left(OH\right)_3}=b\left(mol\right)\)
\(m_{hh}=58a+107b=16.9\left(g\right)\left(1\right)\)
\(Mg\left(OH\right)_2\underrightarrow{^{^{t^0}}}MgO+H_2O\)
\(a.............a\)
\(2Fe\left(OH\right)_3\underrightarrow{^{^{t^0}}}Fe_2O_3+3H_2O\)
\(b.............\dfrac{b}{2}\)
\(m_{Cr}=40a+160\cdot\dfrac{b}{2}=12.4\left(g\right)\left(1\right)\)
\(\left(1\right),\left(2\right):a=0.07,b=0.12\)
\(\%m_{Mg\left(OH\right)_2}=\dfrac{0.07\cdot40}{16.9}\cdot100\%=16.57\%\)
\(\%m_{Fe\left(OH\right)_3}=83.43\%\)