[tex]\text{Make a systems of equations: a = adult and c = child}\\\\a+c=223\\\\8a+2c=854\\\\\text{Solve:}\\\\\text{Let's solve for A:}\\\\-8(a+c=223)\\\\-8a-8c=-1,784\\\\8a+2c=854\\\\-6c=-930\\\\c=155\\\\\boxed{\text{There are 155 children}}\\\\\text{Now, solve for aby plugging in the answer you got to the c variable}\\\\a+155=223\\\\\text{Subtract 155 from both sides}\\\\a=68\\\\\boxed{\text{There are 68 adults}}[/tex]
