Three adult 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 if solving this problem arithmetically, which would find the cost of one adult and one child ticket.
Let's assign variables to the unknowns in the problem. Let A represent the cost of an adult ticket, and C represent the cost of a child ticket.
The problem states that three adult and three child movie tickets were purchased for $75. This can be expressed as 3A + 3C = 75.
The problem also states that the cost of each child ticket is $3 less than the cost of an adult ticket. This can be expressed as C = A - 3.
To find the cost of one adult and one child ticket, we need to solve these two equations simultaneously.
So, the first step to solve this problem arithmetically would be to set up a system of equations using the given information.