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. (1 point) Responses Subtract 6 from 75. Subtract 6 from 75. Divide 75 by 6. Divide 75 by 6. Add 3 to 75. Add 3 to 75. Divide 75 by 3.

To solve the problem, let's denote the cost of one adult ticket as \( A \) and the cost of one child ticket as \( C \). According to the problem, we have the following relationships:

1. The total cost of three adult tickets and three child tickets is: \[ 3A + 3C = 75 \]

2. The cost of each child ticket is $3 less than the cost of an adult ticket: \[ C = A - 3 \]

With these equations in mind, we can rewrite the first equation substituting the second equation into it: \[ 3A + 3(A - 3) = 75 \]

Now we can simplify this: \[ 3A + 3A - 9 = 75 \] \[ 6A - 9 = 75 \]

Next, we add 9 to both sides: \[ 6A = 84 \]

Then, we divide by 6: \[ A = 14 \]

To find \( C \): \[ C = A - 3 = 14 - 3 = 11 \]

In terms of the original question about identifying the first step arithmetically to find the cost of one adult and one child ticket, we can note the total was given as $75.

Thus, the most common first step to simplify, after identifying the equations, would be:

Divide 75 by 6.

Therefore, the correct response based on the initial approach will be Divide 75 by 6.