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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.$\newline$Ron is a server at an all-you-can eat sushi restaurant. At one table, the customers ordered $2$ child buffets and $2$ adult buffets, which cost a total of $\$82$. At another table, the customers ordered $2$ child buffets and $3$ adult buffets, paying a total of $\$108$. How much does the buffet cost for each child and adult?$\newline$The cost for a child is $\$$_____, and the cost for an adult is $\$$_____.