Three adult and three children 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 represent the cost of an adult ticket as "x" dollars.
Since the cost of each child ticket is $3 less than the cost of an adult ticket, the cost of a child ticket would be "x - $3."
Since three adult and three children movie tickets were purchased for $75, the equation to represent this situation would be 3x + 3(x - $3) = $75.
The first step to solving this problem arithmetically would be to distribute and combine like terms in this equation.