\(n_{CaCO_3}=\dfrac{15}{100}=0,15\left(mol\right)\)
PTHH:
Ca(OH)2 + CO2 ---> CaCO3↓ + H2O
0,15<-----0,15
Fe2O3 + 3CO --to--> 2Fe + 3CO2
0,05<-------------------------------0,15
=> \(\left\{{}\begin{matrix}\%m_{Fe_2O_3}=\dfrac{0,05.160}{10}.100\%=80\%\\\%m_{Al_2O_3}=100\%-80\%=20\%\end{matrix}\right.\)