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 aeitmetically which would finind the cost of one adult and one child ticket

Answer 1

To solve this problem arithmetically, the first step is to define variables for the cost of the adult and child tickets.

1. Let \( A \) be the cost of one adult ticket.
2. Let \( C \) be the cost of one child ticket.

According to the problem, we know that:

• The total cost equation for the tickets is: \[ 3A + 3C = 75 \]

• Additionally, we know that the cost of each child ticket is $3 less than the cost of an adult ticket: \[ C = A - 3 \]

Now, you can use these equations to find the values of \( A \) and \( C \).

The first step, therefore, would be to express \( C \) in terms of \( A \) using the second equation and substitute it into the first equation.

In summary, the equations defined in terms of variables represent the first step in solving the problem.