The Panthers, a high school basketball team, charges $6 for adult tickets and $3 for children’s tickets. If 120 people went to the most recent game, and the total earnings for ticket sales was $612, how many children went to the game? Please put answer equations in step by step to receive answer.

There were 36 children at the game. There were 50 children at the game. There were 84 children at the game. There were 108 children at the game​