Three adults and three Child movie tickets were purchased for $75 the cost of each child ticket is $3 less than the cost of an adult ticket identify the first step in solving this problem arithmetically which would find the cost of one adult and one child ticket

The first step in solving this problem arithmetically would be to set up equations to represent the information given. Let's denote the cost of an adult ticket as "A" and the cost of a child ticket as "C."

From the given information, we know:
- Three adult tickets and three child tickets were purchased for a total of $75. This can be represented as:
3A + 3C = 75 (Equation 1)

- The cost of each child ticket is $3 less than the cost of an adult ticket. Mathematically, this can be expressed as:
C = A - 3 (Equation 2)

The first step would be to set up these equations based on the given information.