Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Pamela is a server at an all-you-can eat sushi restaurant. At one table, the customers ordered 1 child buffet and 1 adult buffet, which cost a total of $36. At another table, the customers ordered 3 child buffets and 4 adult buffets, paying a total of $132. How much does the buffet cost for each child and adult?

The cost for a child is $
, and the cost for an adult is $
.