3 adult and 3 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 start by assigning variables to the unknown quantities in the problem.
Let's say the cost of one adult ticket is A dollars.
Since the cost of each child ticket is 3 dollars less than the cost of an adult ticket, the cost of one child ticket would be A - 3 dollars.
Now, we can set up an equation to represent the given information:
3A + 3(A - 3) = 75
This equation simplifies to:
3A + 3A - 9 = 75
The first step in solving this equation arithmetically would be to combine like terms:
6A - 9 = 75