\(\left\{{}\begin{matrix}A+G=50\%\\\dfrac{A}{G}=0,6\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}A+G=0,5\\\dfrac{A}{G}=0,6\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}A+G=0,5\\A=0,6G\end{matrix}\right.\)
Thay \(A=0,6G\) vào ta có:
\(\Leftrightarrow\left\{{}\begin{matrix}0,6G+G=0,5\\A=0,6G\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}1,6G=0,5\\A=0,6G\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}G=\dfrac{0,5}{1,6}\\A=0,6G\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}G=0,3125\\A=0,6\cdot0,3125\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}G=0,3125\\A=0,1875\end{matrix}\right.\)
Vậy: \(\left\{{}\begin{matrix}G=31,25\%\\A=18,75\%\end{matrix}\right.\)