\(\left\{{}\begin{matrix}m_{Al_2O_3}=a\left(g\right)\\m_{CaCO_3}=b\left(g\right)\\m_{MgCO_3}=8a-b\left(g\right)\end{matrix}\right.\left(a,b>0\right)\\ 1.\%m_{Al_2O_3}=\dfrac{a}{b+\left(8a-b\right)+a}.100\approx11,111\%\\ 2.\%m_{Al}=\dfrac{27.2}{102}.\dfrac{1}{9}.100\approx5,882\%\)