Three adult and three child movie tickets were purchased for $75. for the cost of each child ticket is $3 less than the cost of the adult tickets. Identify the first step if solving this problem arithmetically, which would find the cost of one adult and one child ticket.

A) divide 75 by 3
B) add 3 to 75
C) subtract 6 from 75
D) divide 7 by 6

The first step in solving this problem arithmetically would be to assign variables to represent the unknown quantities. Let's say the cost of one adult ticket is x dollars. Since the cost of each child ticket is $3 less than the cost of the adult ticket, the cost of each child ticket would be (x - 3) dollars.

Therefore, the correct first step would be to assign variables, not one of the options given.